What is the LCM of 22 and 55?
LCM of 22 and 55 is the smallest number which is completely divisible by both 22 and 55 without leaving any remainder.
Answer: LCM of 22 and 55 is 110
The Least Common Multiple (LCM) of two numbers a and b is the smallest number which is divisible by a and b exactly without leaving any remainder.
The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
- LCM of 22 and 55 by Formula
- LCM of 22 and 55 by Common Division Method
Method 1: LCM of 22 and 55 by Formula
The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)
The Greatest Common Factor (GCF) of (22, 55) = 11
By using the formula, we get
LCM of 22 and 55 = (22 × 55) / 11
= 2 × 55
LCM (22, 55) = 110
Method 2: LCM of 22 and 55 by Common Division Method
Follow the steps mentioned below to find the LCM of 22 and 55 by the common division method.
- Step 1: Write the numbers 22 and 55 horizontally by separating them with a comma.
- Step 2: Choose the smallest prime number that divides at least any one of them.
- Step 3: Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring it down directly.
- Step 4: We will stop it when we don't have a prime number to divide the given numbers.
- Step 5: Least common multiple of 22 and 55 will be the product of primes by which we have divided.
Observe that the solution to our question LCM of 22 and 55 is the same according to both methods.