What is the Least Common Multiple of 11939 and 11956?

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 11939 and 11956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11939 and 11956, than apply into the LCM equation.

GCF(11939,11956) = 1
LCM(11939,11956) = ( 11939 × 11956) / 1
LCM(11939,11956) = 142742684 / 1
LCM(11939,11956) = 142742684

Least Common Multiple (LCM) of 11939 and 11956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11939 and 11956. First we will calculate the prime factors of 11939 and 11956.

Prime Factorization of 11939

Prime Factorization of 11956

Now multiplying the highest exponent prime factors to calculate the LCM of 11939 and 11956.

LCM(11939,11956) = 11939¹ × 2² × 7² × 61¹
LCM(11939,11956) = 142742684