What is the Least Common Multiple of 89688 and 89708?

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 89688 and 89708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89688 and 89708, than apply into the LCM equation.

GCF(89688,89708) = 4
LCM(89688,89708) = ( 89688 × 89708) / 4
LCM(89688,89708) = 8045731104 / 4
LCM(89688,89708) = 2011432776

Least Common Multiple (LCM) of 89688 and 89708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89688 and 89708. First we will calculate the prime factors of 89688 and 89708.

Prime Factorization of 89688

Prime Factorization of 89708

Now multiplying the highest exponent prime factors to calculate the LCM of 89688 and 89708.

LCM(89688,89708) = 2³ × 3¹ × 37¹ × 101¹ × 41¹ × 547¹
LCM(89688,89708) = 2011432776