What is the Least Common Multiple of 27545 and 27552?

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 27545 and 27552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27545 and 27552, than apply into the LCM equation.

GCF(27545,27552) = 7
LCM(27545,27552) = ( 27545 × 27552) / 7
LCM(27545,27552) = 758919840 / 7
LCM(27545,27552) = 108417120

Least Common Multiple (LCM) of 27545 and 27552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27545 and 27552. First we will calculate the prime factors of 27545 and 27552.

Prime Factorization of 27545

Prime Factorization of 27552

Now multiplying the highest exponent prime factors to calculate the LCM of 27545 and 27552.

LCM(27545,27552) = 5¹ × 7¹ × 787¹ × 2⁵ × 3¹ × 41¹
LCM(27545,27552) = 108417120