What is the Least Common Multiple of 87615 and 87625?

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 87615 and 87625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87615 and 87625, than apply into the LCM equation.

GCF(87615,87625) = 5
LCM(87615,87625) = ( 87615 × 87625) / 5
LCM(87615,87625) = 7677264375 / 5
LCM(87615,87625) = 1535452875

Least Common Multiple (LCM) of 87615 and 87625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87615 and 87625. First we will calculate the prime factors of 87615 and 87625.

Prime Factorization of 87615

Prime Factorization of 87625

Now multiplying the highest exponent prime factors to calculate the LCM of 87615 and 87625.

LCM(87615,87625) = 3³ × 5³ × 11¹ × 59¹ × 701¹
LCM(87615,87625) = 1535452875