What is the Least Common Multiple of 88590 and 88610?

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 88590 and 88610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88590 and 88610, than apply into the LCM equation.

GCF(88590,88610) = 10
LCM(88590,88610) = ( 88590 × 88610) / 10
LCM(88590,88610) = 7849959900 / 10
LCM(88590,88610) = 784995990

Least Common Multiple (LCM) of 88590 and 88610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88590 and 88610. First we will calculate the prime factors of 88590 and 88610.

Prime Factorization of 88590

Prime Factorization of 88610

Now multiplying the highest exponent prime factors to calculate the LCM of 88590 and 88610.

LCM(88590,88610) = 2¹ × 3¹ × 5¹ × 2953¹ × 8861¹
LCM(88590,88610) = 784995990