What is the Least Common Multiple of 49857 and 49875?

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 49857 and 49875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49857 and 49875, than apply into the LCM equation.

GCF(49857,49875) = 3
LCM(49857,49875) = ( 49857 × 49875) / 3
LCM(49857,49875) = 2486617875 / 3
LCM(49857,49875) = 828872625

Least Common Multiple (LCM) of 49857 and 49875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49857 and 49875. First we will calculate the prime factors of 49857 and 49875.

Prime Factorization of 49857

Prime Factorization of 49875

Now multiplying the highest exponent prime factors to calculate the LCM of 49857 and 49875.

LCM(49857,49875) = 3¹ × 16619¹ × 5³ × 7¹ × 19¹
LCM(49857,49875) = 828872625