What is the Least Common Multiple of 72504 and 72508?

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 72504 and 72508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72504 and 72508, than apply into the LCM equation.

GCF(72504,72508) = 4
LCM(72504,72508) = ( 72504 × 72508) / 4
LCM(72504,72508) = 5257120032 / 4
LCM(72504,72508) = 1314280008

Least Common Multiple (LCM) of 72504 and 72508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72504 and 72508. First we will calculate the prime factors of 72504 and 72508.

Prime Factorization of 72504

Prime Factorization of 72508

Now multiplying the highest exponent prime factors to calculate the LCM of 72504 and 72508.

LCM(72504,72508) = 2³ × 3² × 19¹ × 53¹ × 18127¹
LCM(72504,72508) = 1314280008