What is the Least Common Multiple of 16884 and 16903?

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 16884 and 16903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16884 and 16903, than apply into the LCM equation.

GCF(16884,16903) = 1
LCM(16884,16903) = ( 16884 × 16903) / 1
LCM(16884,16903) = 285390252 / 1
LCM(16884,16903) = 285390252

Least Common Multiple (LCM) of 16884 and 16903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16884 and 16903. First we will calculate the prime factors of 16884 and 16903.

Prime Factorization of 16884

Prime Factorization of 16903

Now multiplying the highest exponent prime factors to calculate the LCM of 16884 and 16903.

LCM(16884,16903) = 2² × 3² × 7¹ × 67¹ × 16903¹
LCM(16884,16903) = 285390252