What is the Least Common Multiple of 49375 and 49380?

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 49375 and 49380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49375 and 49380, than apply into the LCM equation.

GCF(49375,49380) = 5
LCM(49375,49380) = ( 49375 × 49380) / 5
LCM(49375,49380) = 2438137500 / 5
LCM(49375,49380) = 487627500

Least Common Multiple (LCM) of 49375 and 49380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49375 and 49380. First we will calculate the prime factors of 49375 and 49380.

Prime Factorization of 49375

Prime Factorization of 49380

Now multiplying the highest exponent prime factors to calculate the LCM of 49375 and 49380.

LCM(49375,49380) = 5⁴ × 79¹ × 2² × 3¹ × 823¹
LCM(49375,49380) = 487627500