What is the Least Common Multiple of 19281 and 19290?

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 19281 and 19290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19281 and 19290, than apply into the LCM equation.

GCF(19281,19290) = 3
LCM(19281,19290) = ( 19281 × 19290) / 3
LCM(19281,19290) = 371930490 / 3
LCM(19281,19290) = 123976830

Least Common Multiple (LCM) of 19281 and 19290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19281 and 19290. First we will calculate the prime factors of 19281 and 19290.

Prime Factorization of 19281

Prime Factorization of 19290

Now multiplying the highest exponent prime factors to calculate the LCM of 19281 and 19290.

LCM(19281,19290) = 3¹ × 6427¹ × 2¹ × 5¹ × 643¹
LCM(19281,19290) = 123976830