What is the Least Common Multiple of 88947 and 88953?

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 88947 and 88953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88947 and 88953, than apply into the LCM equation.

GCF(88947,88953) = 3
LCM(88947,88953) = ( 88947 × 88953) / 3
LCM(88947,88953) = 7912102491 / 3
LCM(88947,88953) = 2637367497

Least Common Multiple (LCM) of 88947 and 88953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88947 and 88953. First we will calculate the prime factors of 88947 and 88953.

Prime Factorization of 88947

Prime Factorization of 88953

Now multiplying the highest exponent prime factors to calculate the LCM of 88947 and 88953.

LCM(88947,88953) = 3² × 9883¹ × 149¹ × 199¹
LCM(88947,88953) = 2637367497