What is the Least Common Multiple of 87998 and 88004?

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 87998 and 88004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87998 and 88004, than apply into the LCM equation.

GCF(87998,88004) = 2
LCM(87998,88004) = ( 87998 × 88004) / 2
LCM(87998,88004) = 7744175992 / 2
LCM(87998,88004) = 3872087996

Least Common Multiple (LCM) of 87998 and 88004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87998 and 88004. First we will calculate the prime factors of 87998 and 88004.

Prime Factorization of 87998

Prime Factorization of 88004

Now multiplying the highest exponent prime factors to calculate the LCM of 87998 and 88004.

LCM(87998,88004) = 2² × 23¹ × 1913¹ × 7² × 449¹
LCM(87998,88004) = 3872087996