What is the Least Common Multiple of 3278 and 3296?

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 3278 and 3296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3278 and 3296, than apply into the LCM equation.

GCF(3278,3296) = 2
LCM(3278,3296) = ( 3278 × 3296) / 2
LCM(3278,3296) = 10804288 / 2
LCM(3278,3296) = 5402144

Least Common Multiple (LCM) of 3278 and 3296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3278 and 3296. First we will calculate the prime factors of 3278 and 3296.

Prime Factorization of 3278

Prime Factorization of 3296

Now multiplying the highest exponent prime factors to calculate the LCM of 3278 and 3296.

LCM(3278,3296) = 2⁵ × 11¹ × 149¹ × 103¹
LCM(3278,3296) = 5402144