What is the Least Common Multiple of 39240 and 39259?

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 39240 and 39259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39240 and 39259, than apply into the LCM equation.

GCF(39240,39259) = 1
LCM(39240,39259) = ( 39240 × 39259) / 1
LCM(39240,39259) = 1540523160 / 1
LCM(39240,39259) = 1540523160

Least Common Multiple (LCM) of 39240 and 39259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39240 and 39259. First we will calculate the prime factors of 39240 and 39259.

Prime Factorization of 39240

Prime Factorization of 39259

Now multiplying the highest exponent prime factors to calculate the LCM of 39240 and 39259.

LCM(39240,39259) = 2³ × 3² × 5¹ × 109¹ × 11¹ × 43¹ × 83¹
LCM(39240,39259) = 1540523160