What is the Least Common Multiple of 4878 and 4898?

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 4878 and 4898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4878 and 4898, than apply into the LCM equation.

GCF(4878,4898) = 2
LCM(4878,4898) = ( 4878 × 4898) / 2
LCM(4878,4898) = 23892444 / 2
LCM(4878,4898) = 11946222

Least Common Multiple (LCM) of 4878 and 4898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4878 and 4898. First we will calculate the prime factors of 4878 and 4898.

Prime Factorization of 4878

Prime Factorization of 4898

Now multiplying the highest exponent prime factors to calculate the LCM of 4878 and 4898.

LCM(4878,4898) = 2¹ × 3² × 271¹ × 31¹ × 79¹
LCM(4878,4898) = 11946222