What is the Least Common Multiple of 34364 and 34375?

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 34364 and 34375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34364 and 34375, than apply into the LCM equation.

GCF(34364,34375) = 11
LCM(34364,34375) = ( 34364 × 34375) / 11
LCM(34364,34375) = 1181262500 / 11
LCM(34364,34375) = 107387500

Least Common Multiple (LCM) of 34364 and 34375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34364 and 34375. First we will calculate the prime factors of 34364 and 34375.

Prime Factorization of 34364

Prime Factorization of 34375

Now multiplying the highest exponent prime factors to calculate the LCM of 34364 and 34375.

LCM(34364,34375) = 2² × 11² × 71¹ × 5⁵
LCM(34364,34375) = 107387500