What is the Least Common Multiple of 6894 and 6903?

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 6894 and 6903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6894 and 6903, than apply into the LCM equation.

GCF(6894,6903) = 9
LCM(6894,6903) = ( 6894 × 6903) / 9
LCM(6894,6903) = 47589282 / 9
LCM(6894,6903) = 5287698

Least Common Multiple (LCM) of 6894 and 6903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6894 and 6903. First we will calculate the prime factors of 6894 and 6903.

Prime Factorization of 6894

Prime Factorization of 6903

Now multiplying the highest exponent prime factors to calculate the LCM of 6894 and 6903.

LCM(6894,6903) = 2¹ × 3² × 383¹ × 13¹ × 59¹
LCM(6894,6903) = 5287698