What is the Least Common Multiple of 19214 and 19229?

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 19214 and 19229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19214 and 19229, than apply into the LCM equation.

GCF(19214,19229) = 1
LCM(19214,19229) = ( 19214 × 19229) / 1
LCM(19214,19229) = 369466006 / 1
LCM(19214,19229) = 369466006

Least Common Multiple (LCM) of 19214 and 19229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19214 and 19229. First we will calculate the prime factors of 19214 and 19229.

Prime Factorization of 19214

Prime Factorization of 19229

Now multiplying the highest exponent prime factors to calculate the LCM of 19214 and 19229.

LCM(19214,19229) = 2¹ × 13¹ × 739¹ × 7¹ × 41¹ × 67¹
LCM(19214,19229) = 369466006