What is the Least Common Multiple of 3254 and 3274?

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 3254 and 3274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3254 and 3274, than apply into the LCM equation.

GCF(3254,3274) = 2
LCM(3254,3274) = ( 3254 × 3274) / 2
LCM(3254,3274) = 10653596 / 2
LCM(3254,3274) = 5326798

Least Common Multiple (LCM) of 3254 and 3274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3254 and 3274. First we will calculate the prime factors of 3254 and 3274.

Prime Factorization of 3254

Prime Factorization of 3274

Now multiplying the highest exponent prime factors to calculate the LCM of 3254 and 3274.

LCM(3254,3274) = 2¹ × 1627¹ × 1637¹
LCM(3254,3274) = 5326798