What is the Least Common Multiple of 3240 and 3255?

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 3255 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 3255, than apply into the LCM equation.

GCF(3240,3255) = 15
LCM(3240,3255) = ( 3240 × 3255) / 15
LCM(3240,3255) = 10546200 / 15
LCM(3240,3255) = 703080

Least Common Multiple (LCM) of 3240 and 3255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3240 and 3255. First we will calculate the prime factors of 3240 and 3255.

Prime Factorization of 3240

Prime Factorization of 3255

Now multiplying the highest exponent prime factors to calculate the LCM of 3240 and 3255.

LCM(3240,3255) = 2³ × 3⁴ × 5¹ × 7¹ × 31¹
LCM(3240,3255) = 703080