What is the Least Common Multiple of 56280 and 56288?

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 56280 and 56288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56280 and 56288, than apply into the LCM equation.

GCF(56280,56288) = 8
LCM(56280,56288) = ( 56280 × 56288) / 8
LCM(56280,56288) = 3167888640 / 8
LCM(56280,56288) = 395986080

Least Common Multiple (LCM) of 56280 and 56288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56280 and 56288. First we will calculate the prime factors of 56280 and 56288.

Prime Factorization of 56280

Prime Factorization of 56288

Now multiplying the highest exponent prime factors to calculate the LCM of 56280 and 56288.

LCM(56280,56288) = 2⁵ × 3¹ × 5¹ × 7¹ × 67¹ × 1759¹
LCM(56280,56288) = 395986080