What is the Least Common Multiple of 56148 and 56165?

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 56148 and 56165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56148 and 56165, than apply into the LCM equation.

GCF(56148,56165) = 1
LCM(56148,56165) = ( 56148 × 56165) / 1
LCM(56148,56165) = 3153552420 / 1
LCM(56148,56165) = 3153552420

Least Common Multiple (LCM) of 56148 and 56165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56148 and 56165. First we will calculate the prime factors of 56148 and 56165.

Prime Factorization of 56148

Prime Factorization of 56165

Now multiplying the highest exponent prime factors to calculate the LCM of 56148 and 56165.

LCM(56148,56165) = 2² × 3¹ × 4679¹ × 5¹ × 47¹ × 239¹
LCM(56148,56165) = 3153552420