What is the Least Common Multiple of 17884 and 17903?

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 17884 and 17903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17884 and 17903, than apply into the LCM equation.

GCF(17884,17903) = 1
LCM(17884,17903) = ( 17884 × 17903) / 1
LCM(17884,17903) = 320177252 / 1
LCM(17884,17903) = 320177252

Least Common Multiple (LCM) of 17884 and 17903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17884 and 17903. First we will calculate the prime factors of 17884 and 17903.

Prime Factorization of 17884

Prime Factorization of 17903

Now multiplying the highest exponent prime factors to calculate the LCM of 17884 and 17903.

LCM(17884,17903) = 2² × 17¹ × 263¹ × 17903¹
LCM(17884,17903) = 320177252