What is the Least Common Multiple of 11956 and 11962?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11956 and 11962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11956 and 11962, than apply into the LCM equation.

GCF(11956,11962) = 2
LCM(11956,11962) = ( 11956 × 11962) / 2
LCM(11956,11962) = 143017672 / 2
LCM(11956,11962) = 71508836

Least Common Multiple (LCM) of 11956 and 11962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11956 and 11962. First we will calculate the prime factors of 11956 and 11962.

Prime Factorization of 11956

Prime Factorization of 11962

Now multiplying the highest exponent prime factors to calculate the LCM of 11956 and 11962.

LCM(11956,11962) = 2² × 7² × 61¹ × 5981¹
LCM(11956,11962) = 71508836