What is the Least Common Multiple of 9214 and 9232?

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 9214 and 9232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9214 and 9232, than apply into the LCM equation.

GCF(9214,9232) = 2
LCM(9214,9232) = ( 9214 × 9232) / 2
LCM(9214,9232) = 85063648 / 2
LCM(9214,9232) = 42531824

Least Common Multiple (LCM) of 9214 and 9232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9214 and 9232. First we will calculate the prime factors of 9214 and 9232.

Prime Factorization of 9214

Prime Factorization of 9232

Now multiplying the highest exponent prime factors to calculate the LCM of 9214 and 9232.

LCM(9214,9232) = 2⁴ × 17¹ × 271¹ × 577¹
LCM(9214,9232) = 42531824