What is the Least Common Multiple of 39305 and 39319?

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 39305 and 39319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39305 and 39319, than apply into the LCM equation.

GCF(39305,39319) = 7
LCM(39305,39319) = ( 39305 × 39319) / 7
LCM(39305,39319) = 1545433295 / 7
LCM(39305,39319) = 220776185

Least Common Multiple (LCM) of 39305 and 39319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39305 and 39319. First we will calculate the prime factors of 39305 and 39319.

Prime Factorization of 39305

Prime Factorization of 39319

Now multiplying the highest exponent prime factors to calculate the LCM of 39305 and 39319.

LCM(39305,39319) = 5¹ × 7¹ × 1123¹ × 41¹ × 137¹
LCM(39305,39319) = 220776185