What is the Least Common Multiple of 44643 and 44650?

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 44643 and 44650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44643 and 44650, than apply into the LCM equation.

GCF(44643,44650) = 1
LCM(44643,44650) = ( 44643 × 44650) / 1
LCM(44643,44650) = 1993309950 / 1
LCM(44643,44650) = 1993309950

Least Common Multiple (LCM) of 44643 and 44650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44643 and 44650. First we will calculate the prime factors of 44643 and 44650.

Prime Factorization of 44643

Prime Factorization of 44650

Now multiplying the highest exponent prime factors to calculate the LCM of 44643 and 44650.

LCM(44643,44650) = 3¹ × 23¹ × 647¹ × 2¹ × 5² × 19¹ × 47¹
LCM(44643,44650) = 1993309950