What is the Least Common Multiple of 3214 and 3232?

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 3214 and 3232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3214 and 3232, than apply into the LCM equation.

GCF(3214,3232) = 2
LCM(3214,3232) = ( 3214 × 3232) / 2
LCM(3214,3232) = 10387648 / 2
LCM(3214,3232) = 5193824

Least Common Multiple (LCM) of 3214 and 3232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3214 and 3232. First we will calculate the prime factors of 3214 and 3232.

Prime Factorization of 3214

Prime Factorization of 3232

Now multiplying the highest exponent prime factors to calculate the LCM of 3214 and 3232.

LCM(3214,3232) = 2⁵ × 1607¹ × 101¹
LCM(3214,3232) = 5193824