What is the Least Common Multiple of 45884 and 45898?

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 45884 and 45898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45884 and 45898, than apply into the LCM equation.

GCF(45884,45898) = 2
LCM(45884,45898) = ( 45884 × 45898) / 2
LCM(45884,45898) = 2105983832 / 2
LCM(45884,45898) = 1052991916

Least Common Multiple (LCM) of 45884 and 45898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45884 and 45898. First we will calculate the prime factors of 45884 and 45898.

Prime Factorization of 45884

Prime Factorization of 45898

Now multiplying the highest exponent prime factors to calculate the LCM of 45884 and 45898.

LCM(45884,45898) = 2² × 11471¹ × 53¹ × 433¹
LCM(45884,45898) = 1052991916