What is the Least Common Multiple of 49355 and 49375?

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 49355 and 49375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49355 and 49375, than apply into the LCM equation.

GCF(49355,49375) = 5
LCM(49355,49375) = ( 49355 × 49375) / 5
LCM(49355,49375) = 2436903125 / 5
LCM(49355,49375) = 487380625

Least Common Multiple (LCM) of 49355 and 49375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49355 and 49375. First we will calculate the prime factors of 49355 and 49375.

Prime Factorization of 49355

Prime Factorization of 49375

Now multiplying the highest exponent prime factors to calculate the LCM of 49355 and 49375.

LCM(49355,49375) = 5⁴ × 9871¹ × 79¹
LCM(49355,49375) = 487380625