What is the Least Common Multiple of 3224 and 3231?

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 3224 and 3231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3224 and 3231, than apply into the LCM equation.

GCF(3224,3231) = 1
LCM(3224,3231) = ( 3224 × 3231) / 1
LCM(3224,3231) = 10416744 / 1
LCM(3224,3231) = 10416744

Least Common Multiple (LCM) of 3224 and 3231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3224 and 3231. First we will calculate the prime factors of 3224 and 3231.

Prime Factorization of 3224

Prime Factorization of 3231

Now multiplying the highest exponent prime factors to calculate the LCM of 3224 and 3231.

LCM(3224,3231) = 2³ × 13¹ × 31¹ × 3² × 359¹
LCM(3224,3231) = 10416744