What is the Least Common Multiple of 61875 and 61889?

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 61875 and 61889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61875 and 61889, than apply into the LCM equation.

GCF(61875,61889) = 1
LCM(61875,61889) = ( 61875 × 61889) / 1
LCM(61875,61889) = 3829381875 / 1
LCM(61875,61889) = 3829381875

Least Common Multiple (LCM) of 61875 and 61889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61875 and 61889. First we will calculate the prime factors of 61875 and 61889.

Prime Factorization of 61875

Prime Factorization of 61889

Now multiplying the highest exponent prime factors to calculate the LCM of 61875 and 61889.

LCM(61875,61889) = 3² × 5⁴ × 11¹ × 199¹ × 311¹
LCM(61875,61889) = 3829381875