What is the Least Common Multiple of 3224 and 3238?

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 3238 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 3238, than apply into the LCM equation.

GCF(3224,3238) = 2
LCM(3224,3238) = ( 3224 × 3238) / 2
LCM(3224,3238) = 10439312 / 2
LCM(3224,3238) = 5219656

Least Common Multiple (LCM) of 3224 and 3238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3224 and 3238. First we will calculate the prime factors of 3224 and 3238.

Prime Factorization of 3224

Prime Factorization of 3238

Now multiplying the highest exponent prime factors to calculate the LCM of 3224 and 3238.

LCM(3224,3238) = 2³ × 13¹ × 31¹ × 1619¹
LCM(3224,3238) = 5219656