What is the Least Common Multiple of 1916 and 1931?

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 1916 and 1931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1916 and 1931, than apply into the LCM equation.

GCF(1916,1931) = 1
LCM(1916,1931) = ( 1916 × 1931) / 1
LCM(1916,1931) = 3699796 / 1
LCM(1916,1931) = 3699796

Least Common Multiple (LCM) of 1916 and 1931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1916 and 1931. First we will calculate the prime factors of 1916 and 1931.

Prime Factorization of 1916

Prime Factorization of 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1916 and 1931.

LCM(1916,1931) = 2² × 479¹ × 1931¹
LCM(1916,1931) = 3699796