What is the Least Common Multiple of 16900 and 16919?

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 16900 and 16919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16900 and 16919, than apply into the LCM equation.

GCF(16900,16919) = 1
LCM(16900,16919) = ( 16900 × 16919) / 1
LCM(16900,16919) = 285931100 / 1
LCM(16900,16919) = 285931100

Least Common Multiple (LCM) of 16900 and 16919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16900 and 16919. First we will calculate the prime factors of 16900 and 16919.

Prime Factorization of 16900

Prime Factorization of 16919

Now multiplying the highest exponent prime factors to calculate the LCM of 16900 and 16919.

LCM(16900,16919) = 2² × 5² × 13² × 7¹ × 2417¹
LCM(16900,16919) = 285931100