What is the Least Common Multiple of 15364 and 15377?

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 15364 and 15377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15364 and 15377, than apply into the LCM equation.

GCF(15364,15377) = 1
LCM(15364,15377) = ( 15364 × 15377) / 1
LCM(15364,15377) = 236252228 / 1
LCM(15364,15377) = 236252228

Least Common Multiple (LCM) of 15364 and 15377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15364 and 15377. First we will calculate the prime factors of 15364 and 15377.

Prime Factorization of 15364

Prime Factorization of 15377

Now multiplying the highest exponent prime factors to calculate the LCM of 15364 and 15377.

LCM(15364,15377) = 2² × 23¹ × 167¹ × 15377¹
LCM(15364,15377) = 236252228