What is the Least Common Multiple of 3240 and 3259?

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 3240 and 3259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3240 and 3259, than apply into the LCM equation.

GCF(3240,3259) = 1
LCM(3240,3259) = ( 3240 × 3259) / 1
LCM(3240,3259) = 10559160 / 1
LCM(3240,3259) = 10559160

Least Common Multiple (LCM) of 3240 and 3259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3240 and 3259. First we will calculate the prime factors of 3240 and 3259.

Prime Factorization of 3240

Prime Factorization of 3259

Now multiplying the highest exponent prime factors to calculate the LCM of 3240 and 3259.

LCM(3240,3259) = 2³ × 3⁴ × 5¹ × 3259¹
LCM(3240,3259) = 10559160