What is the Least Common Multiple of 44906 and 44918?

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 44906 and 44918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44906 and 44918, than apply into the LCM equation.

GCF(44906,44918) = 2
LCM(44906,44918) = ( 44906 × 44918) / 2
LCM(44906,44918) = 2017087708 / 2
LCM(44906,44918) = 1008543854

Least Common Multiple (LCM) of 44906 and 44918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44906 and 44918. First we will calculate the prime factors of 44906 and 44918.

Prime Factorization of 44906

Prime Factorization of 44918

Now multiplying the highest exponent prime factors to calculate the LCM of 44906 and 44918.

LCM(44906,44918) = 2¹ × 22453¹ × 37¹ × 607¹
LCM(44906,44918) = 1008543854