What is the Least Common Multiple of 45093 and 45107?

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 45093 and 45107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45093 and 45107, than apply into the LCM equation.

GCF(45093,45107) = 1
LCM(45093,45107) = ( 45093 × 45107) / 1
LCM(45093,45107) = 2034009951 / 1
LCM(45093,45107) = 2034009951

Least Common Multiple (LCM) of 45093 and 45107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45093 and 45107. First we will calculate the prime factors of 45093 and 45107.

Prime Factorization of 45093

Prime Factorization of 45107

Now multiplying the highest exponent prime factors to calculate the LCM of 45093 and 45107.

LCM(45093,45107) = 3¹ × 15031¹ × 43¹ × 1049¹
LCM(45093,45107) = 2034009951