What is the Least Common Multiple of 56970 and 56985?

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 56970 and 56985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56970 and 56985, than apply into the LCM equation.

GCF(56970,56985) = 15
LCM(56970,56985) = ( 56970 × 56985) / 15
LCM(56970,56985) = 3246435450 / 15
LCM(56970,56985) = 216429030

Least Common Multiple (LCM) of 56970 and 56985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56970 and 56985. First we will calculate the prime factors of 56970 and 56985.

Prime Factorization of 56970

Prime Factorization of 56985

Now multiplying the highest exponent prime factors to calculate the LCM of 56970 and 56985.

LCM(56970,56985) = 2¹ × 3³ × 5¹ × 211¹ × 29¹ × 131¹
LCM(56970,56985) = 216429030