What is the Least Common Multiple of 86988 and 86998?

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 86988 and 86998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86988 and 86998, than apply into the LCM equation.

GCF(86988,86998) = 2
LCM(86988,86998) = ( 86988 × 86998) / 2
LCM(86988,86998) = 7567782024 / 2
LCM(86988,86998) = 3783891012

Least Common Multiple (LCM) of 86988 and 86998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86988 and 86998. First we will calculate the prime factors of 86988 and 86998.

Prime Factorization of 86988

Prime Factorization of 86998

Now multiplying the highest exponent prime factors to calculate the LCM of 86988 and 86998.

LCM(86988,86998) = 2² × 3¹ × 11¹ × 659¹ × 43499¹
LCM(86988,86998) = 3783891012