What is the Least Common Multiple of 56560 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 56560 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 56560 and 56568, than apply into the LCM equation.

GCF(56560,56568) = 8
LCM(56560,56568) = ( 56560 × 56568) / 8
LCM(56560,56568) = 3199486080 / 8
LCM(56560,56568) = 399935760

Least Common Multiple (LCM) of 56560 and 56568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56560 and 56568. First we will calculate the prime factors of 56560 and 56568.

Prime Factorization of 56560

Prime Factorization of 56568

Now multiplying the highest exponent prime factors to calculate the LCM of 56560 and 56568.

LCM(56560,56568) = 2⁴ × 5¹ × 7¹ × 101¹ × 3¹ × 2357¹
LCM(56560,56568) = 399935760