What is the Least Common Multiple of 56544 and 56556?

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 56556 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 56556, than apply into the LCM equation.

GCF(56544,56556) = 12
LCM(56544,56556) = ( 56544 × 56556) / 12
LCM(56544,56556) = 3197902464 / 12
LCM(56544,56556) = 266491872

Least Common Multiple (LCM) of 56544 and 56556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56544 and 56556. First we will calculate the prime factors of 56544 and 56556.

Prime Factorization of 56544

Prime Factorization of 56556

Now multiplying the highest exponent prime factors to calculate the LCM of 56544 and 56556.

LCM(56544,56556) = 2⁵ × 3² × 19¹ × 31¹ × 1571¹
LCM(56544,56556) = 266491872