What is the Least Common Multiple of 21258 and 21267?

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 21258 and 21267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21258 and 21267, than apply into the LCM equation.

GCF(21258,21267) = 9
LCM(21258,21267) = ( 21258 × 21267) / 9
LCM(21258,21267) = 452093886 / 9
LCM(21258,21267) = 50232654

Least Common Multiple (LCM) of 21258 and 21267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21258 and 21267. First we will calculate the prime factors of 21258 and 21267.

Prime Factorization of 21258

Prime Factorization of 21267

Now multiplying the highest exponent prime factors to calculate the LCM of 21258 and 21267.

LCM(21258,21267) = 2¹ × 3² × 1181¹ × 17¹ × 139¹
LCM(21258,21267) = 50232654