What is the Least Common Multiple of 88929 and 88947?

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 88947 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 88947, than apply into the LCM equation.

GCF(88929,88947) = 9
LCM(88929,88947) = ( 88929 × 88947) / 9
LCM(88929,88947) = 7909967763 / 9
LCM(88929,88947) = 878885307

Least Common Multiple (LCM) of 88929 and 88947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88929 and 88947. First we will calculate the prime factors of 88929 and 88947.

Prime Factorization of 88929

Prime Factorization of 88947

Now multiplying the highest exponent prime factors to calculate the LCM of 88929 and 88947.

LCM(88929,88947) = 3² × 41¹ × 241¹ × 9883¹
LCM(88929,88947) = 878885307