What is the Least Common Multiple of 29364 and 29375?

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 29364 and 29375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29364 and 29375, than apply into the LCM equation.

GCF(29364,29375) = 1
LCM(29364,29375) = ( 29364 × 29375) / 1
LCM(29364,29375) = 862567500 / 1
LCM(29364,29375) = 862567500

Least Common Multiple (LCM) of 29364 and 29375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29364 and 29375. First we will calculate the prime factors of 29364 and 29375.

Prime Factorization of 29364

Prime Factorization of 29375

Now multiplying the highest exponent prime factors to calculate the LCM of 29364 and 29375.

LCM(29364,29375) = 2² × 3¹ × 2447¹ × 5⁴ × 47¹
LCM(29364,29375) = 862567500