What is the Least Common Multiple of 3216 and 3227?

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 3216 and 3227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3216 and 3227, than apply into the LCM equation.

GCF(3216,3227) = 1
LCM(3216,3227) = ( 3216 × 3227) / 1
LCM(3216,3227) = 10378032 / 1
LCM(3216,3227) = 10378032

Least Common Multiple (LCM) of 3216 and 3227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3216 and 3227. First we will calculate the prime factors of 3216 and 3227.

Prime Factorization of 3216

Prime Factorization of 3227

Now multiplying the highest exponent prime factors to calculate the LCM of 3216 and 3227.

LCM(3216,3227) = 2⁴ × 3¹ × 67¹ × 7¹ × 461¹
LCM(3216,3227) = 10378032