What is the Least Common Multiple of 56544 and 56562?

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 56562 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 56562, than apply into the LCM equation.

GCF(56544,56562) = 6
LCM(56544,56562) = ( 56544 × 56562) / 6
LCM(56544,56562) = 3198241728 / 6
LCM(56544,56562) = 533040288

Least Common Multiple (LCM) of 56544 and 56562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56544 and 56562. First we will calculate the prime factors of 56544 and 56562.

Prime Factorization of 56544

Prime Factorization of 56562

Now multiplying the highest exponent prime factors to calculate the LCM of 56544 and 56562.

LCM(56544,56562) = 2⁵ × 3¹ × 19¹ × 31¹ × 11¹ × 857¹
LCM(56544,56562) = 533040288