What is the Least Common Multiple of 89988 and 89993?

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 89993 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 89993, than apply into the LCM equation.

GCF(89988,89993) = 1
LCM(89988,89993) = ( 89988 × 89993) / 1
LCM(89988,89993) = 8098290084 / 1
LCM(89988,89993) = 8098290084

Least Common Multiple (LCM) of 89988 and 89993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89988 and 89993. First we will calculate the prime factors of 89988 and 89993.

Prime Factorization of 89988

Prime Factorization of 89993

Now multiplying the highest exponent prime factors to calculate the LCM of 89988 and 89993.

LCM(89988,89993) = 2² × 3¹ × 7499¹ × 31¹ × 2903¹
LCM(89988,89993) = 8098290084