What is the Least Common Multiple of 22214 and 22229?

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 22214 and 22229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22214 and 22229, than apply into the LCM equation.

GCF(22214,22229) = 1
LCM(22214,22229) = ( 22214 × 22229) / 1
LCM(22214,22229) = 493795006 / 1
LCM(22214,22229) = 493795006

Least Common Multiple (LCM) of 22214 and 22229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22214 and 22229. First we will calculate the prime factors of 22214 and 22229.

Prime Factorization of 22214

Prime Factorization of 22229

Now multiplying the highest exponent prime factors to calculate the LCM of 22214 and 22229.

LCM(22214,22229) = 2¹ × 29¹ × 383¹ × 22229¹
LCM(22214,22229) = 493795006