What is the Least Common Multiple of 9214 and 9234?

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 9234 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 9234, than apply into the LCM equation.

GCF(9214,9234) = 2
LCM(9214,9234) = ( 9214 × 9234) / 2
LCM(9214,9234) = 85082076 / 2
LCM(9214,9234) = 42541038

Least Common Multiple (LCM) of 9214 and 9234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9214 and 9234. First we will calculate the prime factors of 9214 and 9234.

Prime Factorization of 9214

Prime Factorization of 9234

Now multiplying the highest exponent prime factors to calculate the LCM of 9214 and 9234.

LCM(9214,9234) = 2¹ × 17¹ × 271¹ × 3⁵ × 19¹
LCM(9214,9234) = 42541038