What is the Least Common Multiple of 88921 and 88928?

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 88921 and 88928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88921 and 88928, than apply into the LCM equation.

GCF(88921,88928) = 7
LCM(88921,88928) = ( 88921 × 88928) / 7
LCM(88921,88928) = 7907566688 / 7
LCM(88921,88928) = 1129652384

Least Common Multiple (LCM) of 88921 and 88928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88921 and 88928. First we will calculate the prime factors of 88921 and 88928.

Prime Factorization of 88921

Prime Factorization of 88928

Now multiplying the highest exponent prime factors to calculate the LCM of 88921 and 88928.

LCM(88921,88928) = 7¹ × 12703¹ × 2⁵ × 397¹
LCM(88921,88928) = 1129652384