What is the Least Common Multiple of 11928 and 11942?

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 11928 and 11942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11928 and 11942, than apply into the LCM equation.

GCF(11928,11942) = 14
LCM(11928,11942) = ( 11928 × 11942) / 14
LCM(11928,11942) = 142444176 / 14
LCM(11928,11942) = 10174584

Least Common Multiple (LCM) of 11928 and 11942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11928 and 11942. First we will calculate the prime factors of 11928 and 11942.

Prime Factorization of 11928

Prime Factorization of 11942

Now multiplying the highest exponent prime factors to calculate the LCM of 11928 and 11942.

LCM(11928,11942) = 2³ × 3¹ × 7¹ × 71¹ × 853¹
LCM(11928,11942) = 10174584