What is the Least Common Multiple of 27552 and 27572?

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 27552 and 27572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27552 and 27572, than apply into the LCM equation.

GCF(27552,27572) = 4
LCM(27552,27572) = ( 27552 × 27572) / 4
LCM(27552,27572) = 759663744 / 4
LCM(27552,27572) = 189915936

Least Common Multiple (LCM) of 27552 and 27572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27552 and 27572. First we will calculate the prime factors of 27552 and 27572.

Prime Factorization of 27552

Prime Factorization of 27572

Now multiplying the highest exponent prime factors to calculate the LCM of 27552 and 27572.

LCM(27552,27572) = 2⁵ × 3¹ × 7¹ × 41¹ × 61¹ × 113¹
LCM(27552,27572) = 189915936