What is the Least Common Multiple of 81552 and 81568?

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 81552 and 81568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81552 and 81568, than apply into the LCM equation.

GCF(81552,81568) = 16
LCM(81552,81568) = ( 81552 × 81568) / 16
LCM(81552,81568) = 6652033536 / 16
LCM(81552,81568) = 415752096

Least Common Multiple (LCM) of 81552 and 81568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81552 and 81568. First we will calculate the prime factors of 81552 and 81568.

Prime Factorization of 81552

Prime Factorization of 81568

Now multiplying the highest exponent prime factors to calculate the LCM of 81552 and 81568.

LCM(81552,81568) = 2⁵ × 3¹ × 1699¹ × 2549¹
LCM(81552,81568) = 415752096