What is the Least Common Multiple of 61857 and 61875?

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 61857 and 61875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61857 and 61875, than apply into the LCM equation.

GCF(61857,61875) = 9
LCM(61857,61875) = ( 61857 × 61875) / 9
LCM(61857,61875) = 3827401875 / 9
LCM(61857,61875) = 425266875

Least Common Multiple (LCM) of 61857 and 61875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61857 and 61875. First we will calculate the prime factors of 61857 and 61875.

Prime Factorization of 61857

Prime Factorization of 61875

Now multiplying the highest exponent prime factors to calculate the LCM of 61857 and 61875.

LCM(61857,61875) = 3³ × 29¹ × 79¹ × 5⁴ × 11¹
LCM(61857,61875) = 425266875