What is the Least Common Multiple of 19230 and 19239?

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 19230 and 19239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19230 and 19239, than apply into the LCM equation.

GCF(19230,19239) = 3
LCM(19230,19239) = ( 19230 × 19239) / 3
LCM(19230,19239) = 369965970 / 3
LCM(19230,19239) = 123321990

Least Common Multiple (LCM) of 19230 and 19239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19230 and 19239. First we will calculate the prime factors of 19230 and 19239.

Prime Factorization of 19230

Prime Factorization of 19239

Now multiplying the highest exponent prime factors to calculate the LCM of 19230 and 19239.

LCM(19230,19239) = 2¹ × 3¹ × 5¹ × 641¹ × 11² × 53¹
LCM(19230,19239) = 123321990