What is the Least Common Multiple of 88928 and 88942?

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 88928 and 88942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88928 and 88942, than apply into the LCM equation.

GCF(88928,88942) = 14
LCM(88928,88942) = ( 88928 × 88942) / 14
LCM(88928,88942) = 7909434176 / 14
LCM(88928,88942) = 564959584

Least Common Multiple (LCM) of 88928 and 88942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88928 and 88942. First we will calculate the prime factors of 88928 and 88942.

Prime Factorization of 88928

Prime Factorization of 88942

Now multiplying the highest exponent prime factors to calculate the LCM of 88928 and 88942.

LCM(88928,88942) = 2⁵ × 7¹ × 397¹ × 6353¹
LCM(88928,88942) = 564959584