What is the Least Common Multiple of 44404 and 44413?

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 44404 and 44413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44404 and 44413, than apply into the LCM equation.

GCF(44404,44413) = 1
LCM(44404,44413) = ( 44404 × 44413) / 1
LCM(44404,44413) = 1972114852 / 1
LCM(44404,44413) = 1972114852

Least Common Multiple (LCM) of 44404 and 44413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44404 and 44413. First we will calculate the prime factors of 44404 and 44413.

Prime Factorization of 44404

Prime Factorization of 44413

Now multiplying the highest exponent prime factors to calculate the LCM of 44404 and 44413.

LCM(44404,44413) = 2² × 17¹ × 653¹ × 23¹ × 1931¹
LCM(44404,44413) = 1972114852