GCF and LCM Calculator Logo

What is the Least Common Multiple of 9214 and 9222?

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 (LCM) of 9214 and 9222 is 42485754.

LCM(9214,9222) = 42485754

LCM Calculator and
and

Least Common Multiple of 9214 and 9222 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 9222, than apply into the LCM equation.

GCF(9214,9222) = 2
LCM(9214,9222) = ( 9214 × 9222) / 2
LCM(9214,9222) = 84971508 / 2
LCM(9214,9222) = 42485754

Least Common Multiple (LCM) of 9214 and 9222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9214 and 9222. First we will calculate the prime factors of 9214 and 9222.

Prime Factorization of 9214

Prime factors of 9214 are 2, 17, 271. Prime factorization of 9214 in exponential form is:

9214 = 21 × 171 × 2711

Prime Factorization of 9222

Prime factors of 9222 are 2, 3, 29, 53. Prime factorization of 9222 in exponential form is:

9222 = 21 × 31 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9214 and 9222.

LCM(9214,9222) = 21 × 171 × 2711 × 31 × 291 × 531
LCM(9214,9222) = 42485754