What is the Least Common Multiple of 83214 and 83232?

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 83214 and 83232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83214 and 83232, than apply into the LCM equation.

GCF(83214,83232) = 18
LCM(83214,83232) = ( 83214 × 83232) / 18
LCM(83214,83232) = 6926067648 / 18
LCM(83214,83232) = 384781536

Least Common Multiple (LCM) of 83214 and 83232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83214 and 83232. First we will calculate the prime factors of 83214 and 83232.

Prime Factorization of 83214

Prime Factorization of 83232

Now multiplying the highest exponent prime factors to calculate the LCM of 83214 and 83232.

LCM(83214,83232) = 2⁵ × 3³ × 23¹ × 67¹ × 17²
LCM(83214,83232) = 384781536