What is the Least Common Multiple of 89973 and 89988?

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 89973 and 89988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89973 and 89988, than apply into the LCM equation.

GCF(89973,89988) = 3
LCM(89973,89988) = ( 89973 × 89988) / 3
LCM(89973,89988) = 8096490324 / 3
LCM(89973,89988) = 2698830108

Least Common Multiple (LCM) of 89973 and 89988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89973 and 89988. First we will calculate the prime factors of 89973 and 89988.

Prime Factorization of 89973

Prime Factorization of 89988

Now multiplying the highest exponent prime factors to calculate the LCM of 89973 and 89988.

LCM(89973,89988) = 3² × 13¹ × 769¹ × 2² × 7499¹
LCM(89973,89988) = 2698830108