What is the Least Common Multiple of 44590 and 44594?

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 44590 and 44594 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44590 and 44594, than apply into the LCM equation.

GCF(44590,44594) = 2
LCM(44590,44594) = ( 44590 × 44594) / 2
LCM(44590,44594) = 1988446460 / 2
LCM(44590,44594) = 994223230

Least Common Multiple (LCM) of 44590 and 44594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44590 and 44594. First we will calculate the prime factors of 44590 and 44594.

Prime Factorization of 44590

Prime Factorization of 44594

Now multiplying the highest exponent prime factors to calculate the LCM of 44590 and 44594.

LCM(44590,44594) = 2¹ × 5¹ × 7³ × 13¹ × 11¹ × 2027¹
LCM(44590,44594) = 994223230