What is the Least Common Multiple of 56576 and 56581?

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 56576 and 56581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56576 and 56581, than apply into the LCM equation.

GCF(56576,56581) = 1
LCM(56576,56581) = ( 56576 × 56581) / 1
LCM(56576,56581) = 3201126656 / 1
LCM(56576,56581) = 3201126656

Least Common Multiple (LCM) of 56576 and 56581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56576 and 56581. First we will calculate the prime factors of 56576 and 56581.

Prime Factorization of 56576

Prime Factorization of 56581

Now multiplying the highest exponent prime factors to calculate the LCM of 56576 and 56581.

LCM(56576,56581) = 2⁸ × 13¹ × 17¹ × 7¹ × 59¹ × 137¹
LCM(56576,56581) = 3201126656