What is the Least Common Multiple of 92938 and 92942?

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 92938 and 92942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92938 and 92942, than apply into the LCM equation.

GCF(92938,92942) = 2
LCM(92938,92942) = ( 92938 × 92942) / 2
LCM(92938,92942) = 8637843596 / 2
LCM(92938,92942) = 4318921798

Least Common Multiple (LCM) of 92938 and 92942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92938 and 92942. First we will calculate the prime factors of 92938 and 92942.

Prime Factorization of 92938

Prime Factorization of 92942

Now multiplying the highest exponent prime factors to calculate the LCM of 92938 and 92942.

LCM(92938,92942) = 2¹ × 31¹ × 1499¹ × 46471¹
LCM(92938,92942) = 4318921798