What is the Least Common Multiple of 56165 and 56177?

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 56165 and 56177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56165 and 56177, than apply into the LCM equation.

GCF(56165,56177) = 1
LCM(56165,56177) = ( 56165 × 56177) / 1
LCM(56165,56177) = 3155181205 / 1
LCM(56165,56177) = 3155181205

Least Common Multiple (LCM) of 56165 and 56177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56165 and 56177. First we will calculate the prime factors of 56165 and 56177.

Prime Factorization of 56165

Prime Factorization of 56177

Now multiplying the highest exponent prime factors to calculate the LCM of 56165 and 56177.

LCM(56165,56177) = 5¹ × 47¹ × 239¹ × 11¹ × 5107¹
LCM(56165,56177) = 3155181205