What is the Least Common Multiple of 9894 and 9903?

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 9894 and 9903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9894 and 9903, than apply into the LCM equation.

GCF(9894,9903) = 3
LCM(9894,9903) = ( 9894 × 9903) / 3
LCM(9894,9903) = 97980282 / 3
LCM(9894,9903) = 32660094

Least Common Multiple (LCM) of 9894 and 9903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9894 and 9903. First we will calculate the prime factors of 9894 and 9903.

Prime Factorization of 9894

Prime Factorization of 9903

Now multiplying the highest exponent prime factors to calculate the LCM of 9894 and 9903.

LCM(9894,9903) = 2¹ × 3¹ × 17¹ × 97¹ × 3301¹
LCM(9894,9903) = 32660094