What is the Least Common Multiple of 41472 and 41488?

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 41472 and 41488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41472 and 41488, than apply into the LCM equation.

GCF(41472,41488) = 16
LCM(41472,41488) = ( 41472 × 41488) / 16
LCM(41472,41488) = 1720590336 / 16
LCM(41472,41488) = 107536896

Least Common Multiple (LCM) of 41472 and 41488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41472 and 41488. First we will calculate the prime factors of 41472 and 41488.

Prime Factorization of 41472

Prime Factorization of 41488

Now multiplying the highest exponent prime factors to calculate the LCM of 41472 and 41488.

LCM(41472,41488) = 2⁹ × 3⁴ × 2593¹
LCM(41472,41488) = 107536896