What is the Least Common Multiple of 17310 and 17324?

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 17310 and 17324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17310 and 17324, than apply into the LCM equation.

GCF(17310,17324) = 2
LCM(17310,17324) = ( 17310 × 17324) / 2
LCM(17310,17324) = 299878440 / 2
LCM(17310,17324) = 149939220

Least Common Multiple (LCM) of 17310 and 17324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17310 and 17324. First we will calculate the prime factors of 17310 and 17324.

Prime Factorization of 17310

Prime Factorization of 17324

Now multiplying the highest exponent prime factors to calculate the LCM of 17310 and 17324.

LCM(17310,17324) = 2² × 3¹ × 5¹ × 577¹ × 61¹ × 71¹
LCM(17310,17324) = 149939220