What is the Least Common Multiple of 61875 and 61891?

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 61891 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 61891, than apply into the LCM equation.

GCF(61875,61891) = 1
LCM(61875,61891) = ( 61875 × 61891) / 1
LCM(61875,61891) = 3829505625 / 1
LCM(61875,61891) = 3829505625

Least Common Multiple (LCM) of 61875 and 61891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61875 and 61891. First we will calculate the prime factors of 61875 and 61891.

Prime Factorization of 61875

Prime Factorization of 61891

Now multiplying the highest exponent prime factors to calculate the LCM of 61875 and 61891.

LCM(61875,61891) = 3² × 5⁴ × 11¹ × 59¹ × 1049¹
LCM(61875,61891) = 3829505625