What is the Least Common Multiple of 44820 and 44829?

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 44820 and 44829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44820 and 44829, than apply into the LCM equation.

GCF(44820,44829) = 9
LCM(44820,44829) = ( 44820 × 44829) / 9
LCM(44820,44829) = 2009235780 / 9
LCM(44820,44829) = 223248420

Least Common Multiple (LCM) of 44820 and 44829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44820 and 44829. First we will calculate the prime factors of 44820 and 44829.

Prime Factorization of 44820

Prime Factorization of 44829

Now multiplying the highest exponent prime factors to calculate the LCM of 44820 and 44829.

LCM(44820,44829) = 2² × 3³ × 5¹ × 83¹ × 17¹ × 293¹
LCM(44820,44829) = 223248420