What is the Least Common Multiple of 18903 and 18921?

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 18903 and 18921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18903 and 18921, than apply into the LCM equation.

GCF(18903,18921) = 3
LCM(18903,18921) = ( 18903 × 18921) / 3
LCM(18903,18921) = 357663663 / 3
LCM(18903,18921) = 119221221

Least Common Multiple (LCM) of 18903 and 18921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18903 and 18921. First we will calculate the prime factors of 18903 and 18921.

Prime Factorization of 18903

Prime Factorization of 18921

Now multiplying the highest exponent prime factors to calculate the LCM of 18903 and 18921.

LCM(18903,18921) = 3¹ × 6301¹ × 7¹ × 17¹ × 53¹
LCM(18903,18921) = 119221221