What is the Least Common Multiple of 44485 and 44490?

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 44485 and 44490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44485 and 44490, than apply into the LCM equation.

GCF(44485,44490) = 5
LCM(44485,44490) = ( 44485 × 44490) / 5
LCM(44485,44490) = 1979137650 / 5
LCM(44485,44490) = 395827530

Least Common Multiple (LCM) of 44485 and 44490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44485 and 44490. First we will calculate the prime factors of 44485 and 44490.

Prime Factorization of 44485

Prime Factorization of 44490

Now multiplying the highest exponent prime factors to calculate the LCM of 44485 and 44490.

LCM(44485,44490) = 5¹ × 7¹ × 31¹ × 41¹ × 2¹ × 3¹ × 1483¹
LCM(44485,44490) = 395827530