What is the Least Common Multiple of 1909 and 1916?

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 1909 and 1916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1909 and 1916, than apply into the LCM equation.

GCF(1909,1916) = 1
LCM(1909,1916) = ( 1909 × 1916) / 1
LCM(1909,1916) = 3657644 / 1
LCM(1909,1916) = 3657644

Least Common Multiple (LCM) of 1909 and 1916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1909 and 1916. First we will calculate the prime factors of 1909 and 1916.

Prime Factorization of 1909

Prime Factorization of 1916

Now multiplying the highest exponent prime factors to calculate the LCM of 1909 and 1916.

LCM(1909,1916) = 23¹ × 83¹ × 2² × 479¹
LCM(1909,1916) = 3657644