What is the Least Common Multiple of 9025 and 9044?

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 9025 and 9044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9025 and 9044, than apply into the LCM equation.

GCF(9025,9044) = 19
LCM(9025,9044) = ( 9025 × 9044) / 19
LCM(9025,9044) = 81622100 / 19
LCM(9025,9044) = 4295900

Least Common Multiple (LCM) of 9025 and 9044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9025 and 9044. First we will calculate the prime factors of 9025 and 9044.

Prime Factorization of 9025

Prime Factorization of 9044

Now multiplying the highest exponent prime factors to calculate the LCM of 9025 and 9044.

LCM(9025,9044) = 5² × 19² × 2² × 7¹ × 17¹
LCM(9025,9044) = 4295900