What is the Least Common Multiple of 61878 and 61898?

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 61878 and 61898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61878 and 61898, than apply into the LCM equation.

GCF(61878,61898) = 2
LCM(61878,61898) = ( 61878 × 61898) / 2
LCM(61878,61898) = 3830124444 / 2
LCM(61878,61898) = 1915062222

Least Common Multiple (LCM) of 61878 and 61898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61878 and 61898. First we will calculate the prime factors of 61878 and 61898.

Prime Factorization of 61878

Prime Factorization of 61898

Now multiplying the highest exponent prime factors to calculate the LCM of 61878 and 61898.

LCM(61878,61898) = 2¹ × 3¹ × 10313¹ × 30949¹
LCM(61878,61898) = 1915062222