What is the Least Common Multiple of 1898 and 1903?

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 1898 and 1903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1898 and 1903, than apply into the LCM equation.

GCF(1898,1903) = 1
LCM(1898,1903) = ( 1898 × 1903) / 1
LCM(1898,1903) = 3611894 / 1
LCM(1898,1903) = 3611894

Least Common Multiple (LCM) of 1898 and 1903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1898 and 1903. First we will calculate the prime factors of 1898 and 1903.

Prime Factorization of 1898

Prime Factorization of 1903

Now multiplying the highest exponent prime factors to calculate the LCM of 1898 and 1903.

LCM(1898,1903) = 2¹ × 13¹ × 73¹ × 11¹ × 173¹
LCM(1898,1903) = 3611894