What is the Least Common Multiple of 15270 and 15282?

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 15270 and 15282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15270 and 15282, than apply into the LCM equation.

GCF(15270,15282) = 6
LCM(15270,15282) = ( 15270 × 15282) / 6
LCM(15270,15282) = 233356140 / 6
LCM(15270,15282) = 38892690

Least Common Multiple (LCM) of 15270 and 15282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15270 and 15282. First we will calculate the prime factors of 15270 and 15282.

Prime Factorization of 15270

Prime Factorization of 15282

Now multiplying the highest exponent prime factors to calculate the LCM of 15270 and 15282.

LCM(15270,15282) = 2¹ × 3³ × 5¹ × 509¹ × 283¹
LCM(15270,15282) = 38892690