What is the Least Common Multiple of 44829 and 44846?

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 44829 and 44846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44829 and 44846, than apply into the LCM equation.

GCF(44829,44846) = 17
LCM(44829,44846) = ( 44829 × 44846) / 17
LCM(44829,44846) = 2010401334 / 17
LCM(44829,44846) = 118258902

Least Common Multiple (LCM) of 44829 and 44846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44829 and 44846. First we will calculate the prime factors of 44829 and 44846.

Prime Factorization of 44829

Prime Factorization of 44846

Now multiplying the highest exponent prime factors to calculate the LCM of 44829 and 44846.

LCM(44829,44846) = 3² × 17¹ × 293¹ × 2¹ × 1319¹
LCM(44829,44846) = 118258902