What is the Least Common Multiple of 83472 and 83488?

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 83472 and 83488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83472 and 83488, than apply into the LCM equation.

GCF(83472,83488) = 16
LCM(83472,83488) = ( 83472 × 83488) / 16
LCM(83472,83488) = 6968910336 / 16
LCM(83472,83488) = 435556896

Least Common Multiple (LCM) of 83472 and 83488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83472 and 83488. First we will calculate the prime factors of 83472 and 83488.

Prime Factorization of 83472

Prime Factorization of 83488

Now multiplying the highest exponent prime factors to calculate the LCM of 83472 and 83488.

LCM(83472,83488) = 2⁵ × 3¹ × 37¹ × 47¹ × 2609¹
LCM(83472,83488) = 435556896