What is the Least Common Multiple of 56544 and 56557?

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 56544 and 56557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56544 and 56557, than apply into the LCM equation.

GCF(56544,56557) = 1
LCM(56544,56557) = ( 56544 × 56557) / 1
LCM(56544,56557) = 3197959008 / 1
LCM(56544,56557) = 3197959008

Least Common Multiple (LCM) of 56544 and 56557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56544 and 56557. First we will calculate the prime factors of 56544 and 56557.

Prime Factorization of 56544

Prime Factorization of 56557

Now multiplying the highest exponent prime factors to calculate the LCM of 56544 and 56557.

LCM(56544,56557) = 2⁵ × 3¹ × 19¹ × 31¹ × 23¹ × 2459¹
LCM(56544,56557) = 3197959008