What is the Least Common Multiple of 3240 and 3254?

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 3254 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 3254, than apply into the LCM equation.

GCF(3240,3254) = 2
LCM(3240,3254) = ( 3240 × 3254) / 2
LCM(3240,3254) = 10542960 / 2
LCM(3240,3254) = 5271480

Least Common Multiple (LCM) of 3240 and 3254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3240 and 3254. First we will calculate the prime factors of 3240 and 3254.

Prime Factorization of 3240

Prime Factorization of 3254

Now multiplying the highest exponent prime factors to calculate the LCM of 3240 and 3254.

LCM(3240,3254) = 2³ × 3⁴ × 5¹ × 1627¹
LCM(3240,3254) = 5271480