What is the Least Common Multiple of 17370 and 17380?

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 17370 and 17380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17370 and 17380, than apply into the LCM equation.

GCF(17370,17380) = 10
LCM(17370,17380) = ( 17370 × 17380) / 10
LCM(17370,17380) = 301890600 / 10
LCM(17370,17380) = 30189060

Least Common Multiple (LCM) of 17370 and 17380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17370 and 17380. First we will calculate the prime factors of 17370 and 17380.

Prime Factorization of 17370

Prime Factorization of 17380

Now multiplying the highest exponent prime factors to calculate the LCM of 17370 and 17380.

LCM(17370,17380) = 2² × 3² × 5¹ × 193¹ × 11¹ × 79¹
LCM(17370,17380) = 30189060