What is the Least Common Multiple of 44416 and 44434?

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 44434 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 44434, than apply into the LCM equation.

GCF(44416,44434) = 2
LCM(44416,44434) = ( 44416 × 44434) / 2
LCM(44416,44434) = 1973580544 / 2
LCM(44416,44434) = 986790272

Least Common Multiple (LCM) of 44416 and 44434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44416 and 44434. First we will calculate the prime factors of 44416 and 44434.

Prime Factorization of 44416

Prime Factorization of 44434

Now multiplying the highest exponent prime factors to calculate the LCM of 44416 and 44434.

LCM(44416,44434) = 2⁷ × 347¹ × 13¹ × 1709¹
LCM(44416,44434) = 986790272