What is the Least Common Multiple of 89988 and 90006?

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 89988 and 90006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89988 and 90006, than apply into the LCM equation.

GCF(89988,90006) = 6
LCM(89988,90006) = ( 89988 × 90006) / 6
LCM(89988,90006) = 8099459928 / 6
LCM(89988,90006) = 1349909988

Least Common Multiple (LCM) of 89988 and 90006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89988 and 90006. First we will calculate the prime factors of 89988 and 90006.

Prime Factorization of 89988

Prime Factorization of 90006

Now multiplying the highest exponent prime factors to calculate the LCM of 89988 and 90006.

LCM(89988,90006) = 2² × 3¹ × 7499¹ × 7¹ × 2143¹
LCM(89988,90006) = 1349909988