What is the Least Common Multiple of 13214 and 13221?

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 13214 and 13221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13214 and 13221, than apply into the LCM equation.

GCF(13214,13221) = 1
LCM(13214,13221) = ( 13214 × 13221) / 1
LCM(13214,13221) = 174702294 / 1
LCM(13214,13221) = 174702294

Least Common Multiple (LCM) of 13214 and 13221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13214 and 13221. First we will calculate the prime factors of 13214 and 13221.

Prime Factorization of 13214

Prime Factorization of 13221

Now multiplying the highest exponent prime factors to calculate the LCM of 13214 and 13221.

LCM(13214,13221) = 2¹ × 6607¹ × 3² × 13¹ × 113¹
LCM(13214,13221) = 174702294