What is the Least Common Multiple of 3214 and 3222?

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 3222 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 3222, than apply into the LCM equation.

GCF(3214,3222) = 2
LCM(3214,3222) = ( 3214 × 3222) / 2
LCM(3214,3222) = 10355508 / 2
LCM(3214,3222) = 5177754

Least Common Multiple (LCM) of 3214 and 3222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3214 and 3222. First we will calculate the prime factors of 3214 and 3222.

Prime Factorization of 3214

Prime Factorization of 3222

Now multiplying the highest exponent prime factors to calculate the LCM of 3214 and 3222.

LCM(3214,3222) = 2¹ × 1607¹ × 3² × 179¹
LCM(3214,3222) = 5177754