What is the Least Common Multiple of 87700 and 87705?

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 87700 and 87705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87700 and 87705, than apply into the LCM equation.

GCF(87700,87705) = 5
LCM(87700,87705) = ( 87700 × 87705) / 5
LCM(87700,87705) = 7691728500 / 5
LCM(87700,87705) = 1538345700

Least Common Multiple (LCM) of 87700 and 87705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87700 and 87705. First we will calculate the prime factors of 87700 and 87705.

Prime Factorization of 87700

Prime Factorization of 87705

Now multiplying the highest exponent prime factors to calculate the LCM of 87700 and 87705.

LCM(87700,87705) = 2² × 5² × 877¹ × 3² × 1949¹
LCM(87700,87705) = 1538345700