What is the Least Common Multiple of 44901 and 44913?

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 44901 and 44913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44901 and 44913, than apply into the LCM equation.

GCF(44901,44913) = 3
LCM(44901,44913) = ( 44901 × 44913) / 3
LCM(44901,44913) = 2016638613 / 3
LCM(44901,44913) = 672212871

Least Common Multiple (LCM) of 44901 and 44913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44901 and 44913. First we will calculate the prime factors of 44901 and 44913.

Prime Factorization of 44901

Prime Factorization of 44913

Now multiplying the highest exponent prime factors to calculate the LCM of 44901 and 44913.

LCM(44901,44913) = 3³ × 1663¹ × 11¹ × 1361¹
LCM(44901,44913) = 672212871