What is the Least Common Multiple of 89982 and 89998?

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 89982 and 89998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89982 and 89998, than apply into the LCM equation.

GCF(89982,89998) = 2
LCM(89982,89998) = ( 89982 × 89998) / 2
LCM(89982,89998) = 8098200036 / 2
LCM(89982,89998) = 4049100018

Least Common Multiple (LCM) of 89982 and 89998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89982 and 89998. First we will calculate the prime factors of 89982 and 89998.

Prime Factorization of 89982

Prime Factorization of 89998

Now multiplying the highest exponent prime factors to calculate the LCM of 89982 and 89998.

LCM(89982,89998) = 2¹ × 3² × 4999¹ × 17¹ × 2647¹
LCM(89982,89998) = 4049100018