What is the Least Common Multiple of 56280 and 56295?

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 56295 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 56295, than apply into the LCM equation.

GCF(56280,56295) = 15
LCM(56280,56295) = ( 56280 × 56295) / 15
LCM(56280,56295) = 3168282600 / 15
LCM(56280,56295) = 211218840

Least Common Multiple (LCM) of 56280 and 56295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56280 and 56295. First we will calculate the prime factors of 56280 and 56295.

Prime Factorization of 56280

Prime Factorization of 56295

Now multiplying the highest exponent prime factors to calculate the LCM of 56280 and 56295.

LCM(56280,56295) = 2³ × 3⁴ × 5¹ × 7¹ × 67¹ × 139¹
LCM(56280,56295) = 211218840