What is the Least Common Multiple of 88929 and 88936?

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 88929 and 88936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88929 and 88936, than apply into the LCM equation.

GCF(88929,88936) = 1
LCM(88929,88936) = ( 88929 × 88936) / 1
LCM(88929,88936) = 7908989544 / 1
LCM(88929,88936) = 7908989544

Least Common Multiple (LCM) of 88929 and 88936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88929 and 88936. First we will calculate the prime factors of 88929 and 88936.

Prime Factorization of 88929

Prime Factorization of 88936

Now multiplying the highest exponent prime factors to calculate the LCM of 88929 and 88936.

LCM(88929,88936) = 3² × 41¹ × 241¹ × 2³ × 11117¹
LCM(88929,88936) = 7908989544