What is the Least Common Multiple of 88584 and 88590?

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 88584 and 88590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88584 and 88590, than apply into the LCM equation.

GCF(88584,88590) = 6
LCM(88584,88590) = ( 88584 × 88590) / 6
LCM(88584,88590) = 7847656560 / 6
LCM(88584,88590) = 1307942760

Least Common Multiple (LCM) of 88584 and 88590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88584 and 88590. First we will calculate the prime factors of 88584 and 88590.

Prime Factorization of 88584

Prime Factorization of 88590

Now multiplying the highest exponent prime factors to calculate the LCM of 88584 and 88590.

LCM(88584,88590) = 2³ × 3¹ × 3691¹ × 5¹ × 2953¹
LCM(88584,88590) = 1307942760