What is the Least Common Multiple of 44812 and 44822?

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 44812 and 44822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44812 and 44822, than apply into the LCM equation.

GCF(44812,44822) = 2
LCM(44812,44822) = ( 44812 × 44822) / 2
LCM(44812,44822) = 2008563464 / 2
LCM(44812,44822) = 1004281732

Least Common Multiple (LCM) of 44812 and 44822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44812 and 44822. First we will calculate the prime factors of 44812 and 44822.

Prime Factorization of 44812

Prime Factorization of 44822

Now multiplying the highest exponent prime factors to calculate the LCM of 44812 and 44822.

LCM(44812,44822) = 2² × 17¹ × 659¹ × 73¹ × 307¹
LCM(44812,44822) = 1004281732