What is the Least Common Multiple of 31808 and 31816?

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 31808 and 31816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31808 and 31816, than apply into the LCM equation.

GCF(31808,31816) = 8
LCM(31808,31816) = ( 31808 × 31816) / 8
LCM(31808,31816) = 1012003328 / 8
LCM(31808,31816) = 126500416

Least Common Multiple (LCM) of 31808 and 31816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31808 and 31816. First we will calculate the prime factors of 31808 and 31816.

Prime Factorization of 31808

Prime Factorization of 31816

Now multiplying the highest exponent prime factors to calculate the LCM of 31808 and 31816.

LCM(31808,31816) = 2⁶ × 7¹ × 71¹ × 41¹ × 97¹
LCM(31808,31816) = 126500416