What is the Least Common Multiple of 56484 and 56488?

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 56484 and 56488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56484 and 56488, than apply into the LCM equation.

GCF(56484,56488) = 4
LCM(56484,56488) = ( 56484 × 56488) / 4
LCM(56484,56488) = 3190668192 / 4
LCM(56484,56488) = 797667048

Least Common Multiple (LCM) of 56484 and 56488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56484 and 56488. First we will calculate the prime factors of 56484 and 56488.

Prime Factorization of 56484

Prime Factorization of 56488

Now multiplying the highest exponent prime factors to calculate the LCM of 56484 and 56488.

LCM(56484,56488) = 2³ × 3³ × 523¹ × 23¹ × 307¹
LCM(56484,56488) = 797667048