What is the Least Common Multiple of 45500 and 45508?

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 45500 and 45508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45500 and 45508, than apply into the LCM equation.

GCF(45500,45508) = 4
LCM(45500,45508) = ( 45500 × 45508) / 4
LCM(45500,45508) = 2070614000 / 4
LCM(45500,45508) = 517653500

Least Common Multiple (LCM) of 45500 and 45508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45500 and 45508. First we will calculate the prime factors of 45500 and 45508.

Prime Factorization of 45500

Prime Factorization of 45508

Now multiplying the highest exponent prime factors to calculate the LCM of 45500 and 45508.

LCM(45500,45508) = 2² × 5³ × 7¹ × 13¹ × 31¹ × 367¹
LCM(45500,45508) = 517653500