What is the Least Common Multiple of 69375 and 69380?

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 69375 and 69380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69375 and 69380, than apply into the LCM equation.

GCF(69375,69380) = 5
LCM(69375,69380) = ( 69375 × 69380) / 5
LCM(69375,69380) = 4813237500 / 5
LCM(69375,69380) = 962647500

Least Common Multiple (LCM) of 69375 and 69380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69375 and 69380. First we will calculate the prime factors of 69375 and 69380.

Prime Factorization of 69375

Prime Factorization of 69380

Now multiplying the highest exponent prime factors to calculate the LCM of 69375 and 69380.

LCM(69375,69380) = 3¹ × 5⁴ × 37¹ × 2² × 3469¹
LCM(69375,69380) = 962647500