What is the Least Common Multiple of 56280 and 56297?

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 56297 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 56297, than apply into the LCM equation.

GCF(56280,56297) = 1
LCM(56280,56297) = ( 56280 × 56297) / 1
LCM(56280,56297) = 3168395160 / 1
LCM(56280,56297) = 3168395160

Least Common Multiple (LCM) of 56280 and 56297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56280 and 56297. First we will calculate the prime factors of 56280 and 56297.

Prime Factorization of 56280

Prime Factorization of 56297

Now multiplying the highest exponent prime factors to calculate the LCM of 56280 and 56297.

LCM(56280,56297) = 2³ × 3¹ × 5¹ × 7¹ × 67¹ × 19¹ × 2963¹
LCM(56280,56297) = 3168395160