What is the Least Common Multiple of 3240 and 3260?

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 3260 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 3260, than apply into the LCM equation.

GCF(3240,3260) = 20
LCM(3240,3260) = ( 3240 × 3260) / 20
LCM(3240,3260) = 10562400 / 20
LCM(3240,3260) = 528120

Least Common Multiple (LCM) of 3240 and 3260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3240 and 3260. First we will calculate the prime factors of 3240 and 3260.

Prime Factorization of 3240

Prime Factorization of 3260

Now multiplying the highest exponent prime factors to calculate the LCM of 3240 and 3260.

LCM(3240,3260) = 2³ × 3⁴ × 5¹ × 163¹
LCM(3240,3260) = 528120