What is the Least Common Multiple of 17130 and 17138?

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 17138 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 17138, than apply into the LCM equation.

GCF(17130,17138) = 2
LCM(17130,17138) = ( 17130 × 17138) / 2
LCM(17130,17138) = 293573940 / 2
LCM(17130,17138) = 146786970

Least Common Multiple (LCM) of 17130 and 17138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17130 and 17138. First we will calculate the prime factors of 17130 and 17138.

Prime Factorization of 17130

Prime Factorization of 17138

Now multiplying the highest exponent prime factors to calculate the LCM of 17130 and 17138.

LCM(17130,17138) = 2¹ × 3¹ × 5¹ × 571¹ × 11¹ × 19¹ × 41¹
LCM(17130,17138) = 146786970