What is the Least Common Multiple of 81552 and 81572?

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 81572 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 81572, than apply into the LCM equation.

GCF(81552,81572) = 4
LCM(81552,81572) = ( 81552 × 81572) / 4
LCM(81552,81572) = 6652359744 / 4
LCM(81552,81572) = 1663089936

Least Common Multiple (LCM) of 81552 and 81572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81552 and 81572. First we will calculate the prime factors of 81552 and 81572.

Prime Factorization of 81552

Prime Factorization of 81572

Now multiplying the highest exponent prime factors to calculate the LCM of 81552 and 81572.

LCM(81552,81572) = 2⁴ × 3¹ × 1699¹ × 20393¹
LCM(81552,81572) = 1663089936