What is the Least Common Multiple of 19214 and 19230?

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 19230 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 19230, than apply into the LCM equation.

GCF(19214,19230) = 2
LCM(19214,19230) = ( 19214 × 19230) / 2
LCM(19214,19230) = 369485220 / 2
LCM(19214,19230) = 184742610

Least Common Multiple (LCM) of 19214 and 19230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19214 and 19230. First we will calculate the prime factors of 19214 and 19230.

Prime Factorization of 19214

Prime Factorization of 19230

Now multiplying the highest exponent prime factors to calculate the LCM of 19214 and 19230.

LCM(19214,19230) = 2¹ × 13¹ × 739¹ × 3¹ × 5¹ × 641¹
LCM(19214,19230) = 184742610