What is the Least Common Multiple of 53889 and 53898?

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 53889 and 53898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53889 and 53898, than apply into the LCM equation.

GCF(53889,53898) = 3
LCM(53889,53898) = ( 53889 × 53898) / 3
LCM(53889,53898) = 2904509322 / 3
LCM(53889,53898) = 968169774

Least Common Multiple (LCM) of 53889 and 53898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53889 and 53898. First we will calculate the prime factors of 53889 and 53898.

Prime Factorization of 53889

Prime Factorization of 53898

Now multiplying the highest exponent prime factors to calculate the LCM of 53889 and 53898.

LCM(53889,53898) = 3¹ × 11¹ × 23¹ × 71¹ × 2¹ × 13¹ × 691¹
LCM(53889,53898) = 968169774