What is the Least Common Multiple of 31874 and 31888?

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 31874 and 31888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31874 and 31888, than apply into the LCM equation.

GCF(31874,31888) = 2
LCM(31874,31888) = ( 31874 × 31888) / 2
LCM(31874,31888) = 1016398112 / 2
LCM(31874,31888) = 508199056

Least Common Multiple (LCM) of 31874 and 31888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31874 and 31888. First we will calculate the prime factors of 31874 and 31888.

Prime Factorization of 31874

Prime Factorization of 31888

Now multiplying the highest exponent prime factors to calculate the LCM of 31874 and 31888.

LCM(31874,31888) = 2⁴ × 15937¹ × 1993¹
LCM(31874,31888) = 508199056