What is the Least Common Multiple of 56543 and 56560?

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 56543 and 56560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56543 and 56560, than apply into the LCM equation.

GCF(56543,56560) = 1
LCM(56543,56560) = ( 56543 × 56560) / 1
LCM(56543,56560) = 3198072080 / 1
LCM(56543,56560) = 3198072080

Least Common Multiple (LCM) of 56543 and 56560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56543 and 56560. First we will calculate the prime factors of 56543 and 56560.

Prime Factorization of 56543

Prime Factorization of 56560

Now multiplying the highest exponent prime factors to calculate the LCM of 56543 and 56560.

LCM(56543,56560) = 56543¹ × 2⁴ × 5¹ × 7¹ × 101¹
LCM(56543,56560) = 3198072080