What is the Least Common Multiple of 19214 and 19233?

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 19233 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 19233, than apply into the LCM equation.

GCF(19214,19233) = 1
LCM(19214,19233) = ( 19214 × 19233) / 1
LCM(19214,19233) = 369542862 / 1
LCM(19214,19233) = 369542862

Least Common Multiple (LCM) of 19214 and 19233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19214 and 19233. First we will calculate the prime factors of 19214 and 19233.

Prime Factorization of 19214

Prime Factorization of 19233

Now multiplying the highest exponent prime factors to calculate the LCM of 19214 and 19233.

LCM(19214,19233) = 2¹ × 13¹ × 739¹ × 3² × 2137¹
LCM(19214,19233) = 369542862