What is the Least Common Multiple of 14884 and 14898?

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 14884 and 14898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14884 and 14898, than apply into the LCM equation.

GCF(14884,14898) = 2
LCM(14884,14898) = ( 14884 × 14898) / 2
LCM(14884,14898) = 221741832 / 2
LCM(14884,14898) = 110870916

Least Common Multiple (LCM) of 14884 and 14898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14884 and 14898. First we will calculate the prime factors of 14884 and 14898.

Prime Factorization of 14884

Prime Factorization of 14898

Now multiplying the highest exponent prime factors to calculate the LCM of 14884 and 14898.

LCM(14884,14898) = 2² × 61² × 3¹ × 13¹ × 191¹
LCM(14884,14898) = 110870916