What is the Least Common Multiple of 17130 and 17148?

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 17130 and 17148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17130 and 17148, than apply into the LCM equation.

GCF(17130,17148) = 6
LCM(17130,17148) = ( 17130 × 17148) / 6
LCM(17130,17148) = 293745240 / 6
LCM(17130,17148) = 48957540

Least Common Multiple (LCM) of 17130 and 17148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17130 and 17148. First we will calculate the prime factors of 17130 and 17148.

Prime Factorization of 17130

Prime Factorization of 17148

Now multiplying the highest exponent prime factors to calculate the LCM of 17130 and 17148.

LCM(17130,17148) = 2² × 3¹ × 5¹ × 571¹ × 1429¹
LCM(17130,17148) = 48957540