What is the Least Common Multiple of 88548 and 88568?

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 88548 and 88568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88548 and 88568, than apply into the LCM equation.

GCF(88548,88568) = 4
LCM(88548,88568) = ( 88548 × 88568) / 4
LCM(88548,88568) = 7842519264 / 4
LCM(88548,88568) = 1960629816

Least Common Multiple (LCM) of 88548 and 88568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88548 and 88568. First we will calculate the prime factors of 88548 and 88568.

Prime Factorization of 88548

Prime Factorization of 88568

Now multiplying the highest exponent prime factors to calculate the LCM of 88548 and 88568.

LCM(88548,88568) = 2³ × 3¹ × 47¹ × 157¹ × 11071¹
LCM(88548,88568) = 1960629816