What is the Least Common Multiple of 88936 and 88948?

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 88936 and 88948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88936 and 88948, than apply into the LCM equation.

GCF(88936,88948) = 4
LCM(88936,88948) = ( 88936 × 88948) / 4
LCM(88936,88948) = 7910679328 / 4
LCM(88936,88948) = 1977669832

Least Common Multiple (LCM) of 88936 and 88948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88936 and 88948. First we will calculate the prime factors of 88936 and 88948.

Prime Factorization of 88936

Prime Factorization of 88948

Now multiplying the highest exponent prime factors to calculate the LCM of 88936 and 88948.

LCM(88936,88948) = 2³ × 11117¹ × 37¹ × 601¹
LCM(88936,88948) = 1977669832