What is the Least Common Multiple of 56560 and 56578?

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 56578 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 56578, than apply into the LCM equation.

GCF(56560,56578) = 2
LCM(56560,56578) = ( 56560 × 56578) / 2
LCM(56560,56578) = 3200051680 / 2
LCM(56560,56578) = 1600025840

Least Common Multiple (LCM) of 56560 and 56578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56560 and 56578. First we will calculate the prime factors of 56560 and 56578.

Prime Factorization of 56560

Prime Factorization of 56578

Now multiplying the highest exponent prime factors to calculate the LCM of 56560 and 56578.

LCM(56560,56578) = 2⁴ × 5¹ × 7¹ × 101¹ × 28289¹
LCM(56560,56578) = 1600025840