What is the Least Common Multiple of 32305 and 32319?

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 32305 and 32319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32305 and 32319, than apply into the LCM equation.

GCF(32305,32319) = 7
LCM(32305,32319) = ( 32305 × 32319) / 7
LCM(32305,32319) = 1044065295 / 7
LCM(32305,32319) = 149152185

Least Common Multiple (LCM) of 32305 and 32319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32305 and 32319. First we will calculate the prime factors of 32305 and 32319.

Prime Factorization of 32305

Prime Factorization of 32319

Now multiplying the highest exponent prime factors to calculate the LCM of 32305 and 32319.

LCM(32305,32319) = 5¹ × 7¹ × 13¹ × 71¹ × 3⁵ × 19¹
LCM(32305,32319) = 149152185