What is the Least Common Multiple of 44590 and 44606?

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 44606 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 44606, than apply into the LCM equation.

GCF(44590,44606) = 2
LCM(44590,44606) = ( 44590 × 44606) / 2
LCM(44590,44606) = 1988981540 / 2
LCM(44590,44606) = 994490770

Least Common Multiple (LCM) of 44590 and 44606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44590 and 44606. First we will calculate the prime factors of 44590 and 44606.

Prime Factorization of 44590

Prime Factorization of 44606

Now multiplying the highest exponent prime factors to calculate the LCM of 44590 and 44606.

LCM(44590,44606) = 2¹ × 5¹ × 7³ × 13¹ × 22303¹
LCM(44590,44606) = 994490770