What is the Least Common Multiple of 16214 and 16234?

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 16214 and 16234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16214 and 16234, than apply into the LCM equation.

GCF(16214,16234) = 2
LCM(16214,16234) = ( 16214 × 16234) / 2
LCM(16214,16234) = 263218076 / 2
LCM(16214,16234) = 131609038

Least Common Multiple (LCM) of 16214 and 16234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16214 and 16234. First we will calculate the prime factors of 16214 and 16234.

Prime Factorization of 16214

Prime Factorization of 16234

Now multiplying the highest exponent prime factors to calculate the LCM of 16214 and 16234.

LCM(16214,16234) = 2¹ × 11² × 67¹ × 8117¹
LCM(16214,16234) = 131609038