What is the Least Common Multiple of 41500 and 41508?

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 41500 and 41508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41500 and 41508, than apply into the LCM equation.

GCF(41500,41508) = 4
LCM(41500,41508) = ( 41500 × 41508) / 4
LCM(41500,41508) = 1722582000 / 4
LCM(41500,41508) = 430645500

Least Common Multiple (LCM) of 41500 and 41508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41500 and 41508. First we will calculate the prime factors of 41500 and 41508.

Prime Factorization of 41500

Prime Factorization of 41508

Now multiplying the highest exponent prime factors to calculate the LCM of 41500 and 41508.

LCM(41500,41508) = 2² × 5³ × 83¹ × 3² × 1153¹
LCM(41500,41508) = 430645500