What is the Least Common Multiple of 44569 and 44584?

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 44569 and 44584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44569 and 44584, than apply into the LCM equation.

GCF(44569,44584) = 1
LCM(44569,44584) = ( 44569 × 44584) / 1
LCM(44569,44584) = 1987064296 / 1
LCM(44569,44584) = 1987064296

Least Common Multiple (LCM) of 44569 and 44584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44569 and 44584. First we will calculate the prime factors of 44569 and 44584.

Prime Factorization of 44569

Prime Factorization of 44584

Now multiplying the highest exponent prime factors to calculate the LCM of 44569 and 44584.

LCM(44569,44584) = 7¹ × 6367¹ × 2³ × 5573¹
LCM(44569,44584) = 1987064296