What is the Least Common Multiple of 39315 and 39320?

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 39315 and 39320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39315 and 39320, than apply into the LCM equation.

GCF(39315,39320) = 5
LCM(39315,39320) = ( 39315 × 39320) / 5
LCM(39315,39320) = 1545865800 / 5
LCM(39315,39320) = 309173160

Least Common Multiple (LCM) of 39315 and 39320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39315 and 39320. First we will calculate the prime factors of 39315 and 39320.

Prime Factorization of 39315

Prime Factorization of 39320

Now multiplying the highest exponent prime factors to calculate the LCM of 39315 and 39320.

LCM(39315,39320) = 3¹ × 5¹ × 2621¹ × 2³ × 983¹
LCM(39315,39320) = 309173160