What is the Least Common Multiple of 87570 and 87584?

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 87570 and 87584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87570 and 87584, than apply into the LCM equation.

GCF(87570,87584) = 14
LCM(87570,87584) = ( 87570 × 87584) / 14
LCM(87570,87584) = 7669730880 / 14
LCM(87570,87584) = 547837920

Least Common Multiple (LCM) of 87570 and 87584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87570 and 87584. First we will calculate the prime factors of 87570 and 87584.

Prime Factorization of 87570

Prime Factorization of 87584

Now multiplying the highest exponent prime factors to calculate the LCM of 87570 and 87584.

LCM(87570,87584) = 2⁵ × 3² × 5¹ × 7¹ × 139¹ × 17¹ × 23¹
LCM(87570,87584) = 547837920