What is the Least Common Multiple of 17100 and 17112?

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 17100 and 17112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17100 and 17112, than apply into the LCM equation.

GCF(17100,17112) = 12
LCM(17100,17112) = ( 17100 × 17112) / 12
LCM(17100,17112) = 292615200 / 12
LCM(17100,17112) = 24384600

Least Common Multiple (LCM) of 17100 and 17112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17100 and 17112. First we will calculate the prime factors of 17100 and 17112.

Prime Factorization of 17100

Prime Factorization of 17112

Now multiplying the highest exponent prime factors to calculate the LCM of 17100 and 17112.

LCM(17100,17112) = 2³ × 3² × 5² × 19¹ × 23¹ × 31¹
LCM(17100,17112) = 24384600