What is the Least Common Multiple of 88560 and 88571?

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 88560 and 88571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88560 and 88571, than apply into the LCM equation.

GCF(88560,88571) = 1
LCM(88560,88571) = ( 88560 × 88571) / 1
LCM(88560,88571) = 7843847760 / 1
LCM(88560,88571) = 7843847760

Least Common Multiple (LCM) of 88560 and 88571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88560 and 88571. First we will calculate the prime factors of 88560 and 88571.

Prime Factorization of 88560

Prime Factorization of 88571

Now multiplying the highest exponent prime factors to calculate the LCM of 88560 and 88571.

LCM(88560,88571) = 2⁴ × 3³ × 5¹ × 41¹ × 7¹ × 12653¹
LCM(88560,88571) = 7843847760