What is the Least Common Multiple of 44017 and 44033?

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 44017 and 44033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44017 and 44033, than apply into the LCM equation.

GCF(44017,44033) = 1
LCM(44017,44033) = ( 44017 × 44033) / 1
LCM(44017,44033) = 1938200561 / 1
LCM(44017,44033) = 1938200561

Least Common Multiple (LCM) of 44017 and 44033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44017 and 44033. First we will calculate the prime factors of 44017 and 44033.

Prime Factorization of 44017

Prime Factorization of 44033

Now multiplying the highest exponent prime factors to calculate the LCM of 44017 and 44033.

LCM(44017,44033) = 44017¹ × 11¹ × 4003¹
LCM(44017,44033) = 1938200561