What is the Least Common Multiple of 44846 and 44862?

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 44846 and 44862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44846 and 44862, than apply into the LCM equation.

GCF(44846,44862) = 2
LCM(44846,44862) = ( 44846 × 44862) / 2
LCM(44846,44862) = 2011881252 / 2
LCM(44846,44862) = 1005940626

Least Common Multiple (LCM) of 44846 and 44862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44846 and 44862. First we will calculate the prime factors of 44846 and 44862.

Prime Factorization of 44846

Prime Factorization of 44862

Now multiplying the highest exponent prime factors to calculate the LCM of 44846 and 44862.

LCM(44846,44862) = 2¹ × 17¹ × 1319¹ × 3¹ × 7477¹
LCM(44846,44862) = 1005940626