What is the Least Common Multiple of 15365 and 15372?

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 15365 and 15372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15365 and 15372, than apply into the LCM equation.

GCF(15365,15372) = 7
LCM(15365,15372) = ( 15365 × 15372) / 7
LCM(15365,15372) = 236190780 / 7
LCM(15365,15372) = 33741540

Least Common Multiple (LCM) of 15365 and 15372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15365 and 15372. First we will calculate the prime factors of 15365 and 15372.

Prime Factorization of 15365

Prime Factorization of 15372

Now multiplying the highest exponent prime factors to calculate the LCM of 15365 and 15372.

LCM(15365,15372) = 5¹ × 7¹ × 439¹ × 2² × 3² × 61¹
LCM(15365,15372) = 33741540