What is the Least Common Multiple of 76365 and 76375?

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 76365 and 76375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76365 and 76375, than apply into the LCM equation.

GCF(76365,76375) = 5
LCM(76365,76375) = ( 76365 × 76375) / 5
LCM(76365,76375) = 5832376875 / 5
LCM(76365,76375) = 1166475375

Least Common Multiple (LCM) of 76365 and 76375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76365 and 76375. First we will calculate the prime factors of 76365 and 76375.

Prime Factorization of 76365

Prime Factorization of 76375

Now multiplying the highest exponent prime factors to calculate the LCM of 76365 and 76375.

LCM(76365,76375) = 3² × 5³ × 1697¹ × 13¹ × 47¹
LCM(76365,76375) = 1166475375