What is the Least Common Multiple of 93939 and 93957?

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 93939 and 93957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93939 and 93957, than apply into the LCM equation.

GCF(93939,93957) = 3
LCM(93939,93957) = ( 93939 × 93957) / 3
LCM(93939,93957) = 8826226623 / 3
LCM(93939,93957) = 2942075541

Least Common Multiple (LCM) of 93939 and 93957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93939 and 93957. First we will calculate the prime factors of 93939 and 93957.

Prime Factorization of 93939

Prime Factorization of 93957

Now multiplying the highest exponent prime factors to calculate the LCM of 93939 and 93957.

LCM(93939,93957) = 3¹ × 173¹ × 181¹ × 31319¹
LCM(93939,93957) = 2942075541