What is the Least Common Multiple of 75832 and 75837?

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 75832 and 75837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75832 and 75837, than apply into the LCM equation.

GCF(75832,75837) = 1
LCM(75832,75837) = ( 75832 × 75837) / 1
LCM(75832,75837) = 5750871384 / 1
LCM(75832,75837) = 5750871384

Least Common Multiple (LCM) of 75832 and 75837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75832 and 75837. First we will calculate the prime factors of 75832 and 75837.

Prime Factorization of 75832

Prime Factorization of 75837

Now multiplying the highest exponent prime factors to calculate the LCM of 75832 and 75837.

LCM(75832,75837) = 2³ × 9479¹ × 3¹ × 17¹ × 1487¹
LCM(75832,75837) = 5750871384