What is the Least Common Multiple of 31888 and 31902?

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 31888 and 31902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31888 and 31902, than apply into the LCM equation.

GCF(31888,31902) = 2
LCM(31888,31902) = ( 31888 × 31902) / 2
LCM(31888,31902) = 1017290976 / 2
LCM(31888,31902) = 508645488

Least Common Multiple (LCM) of 31888 and 31902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31888 and 31902. First we will calculate the prime factors of 31888 and 31902.

Prime Factorization of 31888

Prime Factorization of 31902

Now multiplying the highest exponent prime factors to calculate the LCM of 31888 and 31902.

LCM(31888,31902) = 2⁴ × 1993¹ × 3¹ × 13¹ × 409¹
LCM(31888,31902) = 508645488