What is the Least Common Multiple of 76177 and 76193?

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 76177 and 76193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76177 and 76193, than apply into the LCM equation.

GCF(76177,76193) = 1
LCM(76177,76193) = ( 76177 × 76193) / 1
LCM(76177,76193) = 5804154161 / 1
LCM(76177,76193) = 5804154161

Least Common Multiple (LCM) of 76177 and 76193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76177 and 76193. First we will calculate the prime factors of 76177 and 76193.

Prime Factorization of 76177

Prime Factorization of 76193

Now multiplying the highest exponent prime factors to calculate the LCM of 76177 and 76193.

LCM(76177,76193) = 17¹ × 4481¹ × 13¹ × 5861¹
LCM(76177,76193) = 5804154161