What is the Least Common Multiple of 87988 and 87998?

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 87988 and 87998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87988 and 87998, than apply into the LCM equation.

GCF(87988,87998) = 2
LCM(87988,87998) = ( 87988 × 87998) / 2
LCM(87988,87998) = 7742768024 / 2
LCM(87988,87998) = 3871384012

Least Common Multiple (LCM) of 87988 and 87998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87988 and 87998. First we will calculate the prime factors of 87988 and 87998.

Prime Factorization of 87988

Prime Factorization of 87998

Now multiplying the highest exponent prime factors to calculate the LCM of 87988 and 87998.

LCM(87988,87998) = 2² × 21997¹ × 23¹ × 1913¹
LCM(87988,87998) = 3871384012