What is the Least Common Multiple of 39305 and 39310?

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 39310 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 39310, than apply into the LCM equation.

GCF(39305,39310) = 5
LCM(39305,39310) = ( 39305 × 39310) / 5
LCM(39305,39310) = 1545079550 / 5
LCM(39305,39310) = 309015910

Least Common Multiple (LCM) of 39305 and 39310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39305 and 39310. First we will calculate the prime factors of 39305 and 39310.

Prime Factorization of 39305

Prime Factorization of 39310

Now multiplying the highest exponent prime factors to calculate the LCM of 39305 and 39310.

LCM(39305,39310) = 5¹ × 7¹ × 1123¹ × 2¹ × 3931¹
LCM(39305,39310) = 309015910