What is the Least Common Multiple of 44416 and 44429?

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 44416 and 44429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44416 and 44429, than apply into the LCM equation.

GCF(44416,44429) = 1
LCM(44416,44429) = ( 44416 × 44429) / 1
LCM(44416,44429) = 1973358464 / 1
LCM(44416,44429) = 1973358464

Least Common Multiple (LCM) of 44416 and 44429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44416 and 44429. First we will calculate the prime factors of 44416 and 44429.

Prime Factorization of 44416

Prime Factorization of 44429

Now multiplying the highest exponent prime factors to calculate the LCM of 44416 and 44429.

LCM(44416,44429) = 2⁷ × 347¹ × 7¹ × 11¹ × 577¹
LCM(44416,44429) = 1973358464