What is the LCM of 6 and 14?
LCM of 6 and 14 is the least number which is exactly divisible by both 6 and 14
Answer: LCM (6,14): 42
Lets see how to find the LCM of 6 and 14
The samllest number possible which is perfectly dividble by the given numbers is the least common multiple of the given numbers.
Methods to Find LCM of 6 and 14
Let us use the following methods to find the LCM of 6 and 14
- Division Method
LCM (6,14): Common Division Method
In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.
LCM (6,14): Formula Method
The formula of LCM is LCM(a,b) = (a × b) / GCF(a,b)
The Greatest common factor(GCF) of (6,14) = 2
LCM of 6 and 14 = (6 × 14) / 2
= 84/2 = 42
LCM (6,14): 42
Therefore, LCM (6,14): 42