What is the Least Common Multiple of 31504 and 31508?

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 31504 and 31508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31504 and 31508, than apply into the LCM equation.

GCF(31504,31508) = 4
LCM(31504,31508) = ( 31504 × 31508) / 4
LCM(31504,31508) = 992628032 / 4
LCM(31504,31508) = 248157008

Least Common Multiple (LCM) of 31504 and 31508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31504 and 31508. First we will calculate the prime factors of 31504 and 31508.

Prime Factorization of 31504

Prime Factorization of 31508

Now multiplying the highest exponent prime factors to calculate the LCM of 31504 and 31508.

LCM(31504,31508) = 2⁴ × 11¹ × 179¹ × 7877¹
LCM(31504,31508) = 248157008