What is the Least Common Multiple of 44718 and 44729?

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 44718 and 44729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44718 and 44729, than apply into the LCM equation.

GCF(44718,44729) = 1
LCM(44718,44729) = ( 44718 × 44729) / 1
LCM(44718,44729) = 2000191422 / 1
LCM(44718,44729) = 2000191422

Least Common Multiple (LCM) of 44718 and 44729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44718 and 44729. First we will calculate the prime factors of 44718 and 44729.

Prime Factorization of 44718

Prime Factorization of 44729

Now multiplying the highest exponent prime factors to calculate the LCM of 44718 and 44729.

LCM(44718,44729) = 2¹ × 3¹ × 29¹ × 257¹ × 44729¹
LCM(44718,44729) = 2000191422