What is the Least Common Multiple of 3216 and 3229?

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 3229 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 3229, than apply into the LCM equation.

GCF(3216,3229) = 1
LCM(3216,3229) = ( 3216 × 3229) / 1
LCM(3216,3229) = 10384464 / 1
LCM(3216,3229) = 10384464

Least Common Multiple (LCM) of 3216 and 3229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3216 and 3229. First we will calculate the prime factors of 3216 and 3229.

Prime Factorization of 3216

Prime Factorization of 3229

Now multiplying the highest exponent prime factors to calculate the LCM of 3216 and 3229.

LCM(3216,3229) = 2⁴ × 3¹ × 67¹ × 3229¹
LCM(3216,3229) = 10384464