What is the Least Common Multiple of 31904 and 31922?

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 31904 and 31922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31904 and 31922, than apply into the LCM equation.

GCF(31904,31922) = 2
LCM(31904,31922) = ( 31904 × 31922) / 2
LCM(31904,31922) = 1018439488 / 2
LCM(31904,31922) = 509219744

Least Common Multiple (LCM) of 31904 and 31922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31904 and 31922. First we will calculate the prime factors of 31904 and 31922.

Prime Factorization of 31904

Prime Factorization of 31922

Now multiplying the highest exponent prime factors to calculate the LCM of 31904 and 31922.

LCM(31904,31922) = 2⁵ × 997¹ × 11¹ × 1451¹
LCM(31904,31922) = 509219744