What is the Least Common Multiple of 16214 and 16232?

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 16232 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 16232, than apply into the LCM equation.

GCF(16214,16232) = 2
LCM(16214,16232) = ( 16214 × 16232) / 2
LCM(16214,16232) = 263185648 / 2
LCM(16214,16232) = 131592824

Least Common Multiple (LCM) of 16214 and 16232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16214 and 16232. First we will calculate the prime factors of 16214 and 16232.

Prime Factorization of 16214

Prime Factorization of 16232

Now multiplying the highest exponent prime factors to calculate the LCM of 16214 and 16232.

LCM(16214,16232) = 2³ × 11² × 67¹ × 2029¹
LCM(16214,16232) = 131592824