What is the Least Common Multiple of 61364 and 61375?

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 61364 and 61375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61364 and 61375, than apply into the LCM equation.

GCF(61364,61375) = 1
LCM(61364,61375) = ( 61364 × 61375) / 1
LCM(61364,61375) = 3766215500 / 1
LCM(61364,61375) = 3766215500

Least Common Multiple (LCM) of 61364 and 61375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61364 and 61375. First we will calculate the prime factors of 61364 and 61375.

Prime Factorization of 61364

Prime Factorization of 61375

Now multiplying the highest exponent prime factors to calculate the LCM of 61364 and 61375.

LCM(61364,61375) = 2² × 23² × 29¹ × 5³ × 491¹
LCM(61364,61375) = 3766215500