What is the Least Common Multiple of 56272 and 56280?

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 56272 and 56280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56272 and 56280, than apply into the LCM equation.

GCF(56272,56280) = 8
LCM(56272,56280) = ( 56272 × 56280) / 8
LCM(56272,56280) = 3166988160 / 8
LCM(56272,56280) = 395873520

Least Common Multiple (LCM) of 56272 and 56280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56272 and 56280. First we will calculate the prime factors of 56272 and 56280.

Prime Factorization of 56272

Prime Factorization of 56280

Now multiplying the highest exponent prime factors to calculate the LCM of 56272 and 56280.

LCM(56272,56280) = 2⁴ × 3517¹ × 3¹ × 5¹ × 7¹ × 67¹
LCM(56272,56280) = 395873520