What is the Least Common Multiple of 44584 and 44602?

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 44584 and 44602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44584 and 44602, than apply into the LCM equation.

GCF(44584,44602) = 2
LCM(44584,44602) = ( 44584 × 44602) / 2
LCM(44584,44602) = 1988535568 / 2
LCM(44584,44602) = 994267784

Least Common Multiple (LCM) of 44584 and 44602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44584 and 44602. First we will calculate the prime factors of 44584 and 44602.

Prime Factorization of 44584

Prime Factorization of 44602

Now multiplying the highest exponent prime factors to calculate the LCM of 44584 and 44602.

LCM(44584,44602) = 2³ × 5573¹ × 29¹ × 769¹
LCM(44584,44602) = 994267784