What is the Least Common Multiple of 56548 and 56568?

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 56548 and 56568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56548 and 56568, than apply into the LCM equation.

GCF(56548,56568) = 4
LCM(56548,56568) = ( 56548 × 56568) / 4
LCM(56548,56568) = 3198807264 / 4
LCM(56548,56568) = 799701816

Least Common Multiple (LCM) of 56548 and 56568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56548 and 56568. First we will calculate the prime factors of 56548 and 56568.

Prime Factorization of 56548

Prime Factorization of 56568

Now multiplying the highest exponent prime factors to calculate the LCM of 56548 and 56568.

LCM(56548,56568) = 2³ × 67¹ × 211¹ × 3¹ × 2357¹
LCM(56548,56568) = 799701816