What is the Least Common Multiple of 1895 and 1912?

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 1895 and 1912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1895 and 1912, than apply into the LCM equation.

GCF(1895,1912) = 1
LCM(1895,1912) = ( 1895 × 1912) / 1
LCM(1895,1912) = 3623240 / 1
LCM(1895,1912) = 3623240

Least Common Multiple (LCM) of 1895 and 1912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1895 and 1912. First we will calculate the prime factors of 1895 and 1912.

Prime Factorization of 1895

Prime Factorization of 1912

Now multiplying the highest exponent prime factors to calculate the LCM of 1895 and 1912.

LCM(1895,1912) = 5¹ × 379¹ × 2³ × 239¹
LCM(1895,1912) = 3623240