What is the Least Common Multiple of 42939 and 42957?

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 42939 and 42957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42939 and 42957, than apply into the LCM equation.

GCF(42939,42957) = 9
LCM(42939,42957) = ( 42939 × 42957) / 9
LCM(42939,42957) = 1844530623 / 9
LCM(42939,42957) = 204947847

Least Common Multiple (LCM) of 42939 and 42957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42939 and 42957. First we will calculate the prime factors of 42939 and 42957.

Prime Factorization of 42939

Prime Factorization of 42957

Now multiplying the highest exponent prime factors to calculate the LCM of 42939 and 42957.

LCM(42939,42957) = 3³ × 13¹ × 367¹ × 37¹ × 43¹
LCM(42939,42957) = 204947847