What is the Least Common Multiple of 21243 and 21258?

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 21243 and 21258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21243 and 21258, than apply into the LCM equation.

GCF(21243,21258) = 3
LCM(21243,21258) = ( 21243 × 21258) / 3
LCM(21243,21258) = 451583694 / 3
LCM(21243,21258) = 150527898

Least Common Multiple (LCM) of 21243 and 21258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21243 and 21258. First we will calculate the prime factors of 21243 and 21258.

Prime Factorization of 21243

Prime Factorization of 21258

Now multiplying the highest exponent prime factors to calculate the LCM of 21243 and 21258.

LCM(21243,21258) = 3² × 73¹ × 97¹ × 2¹ × 1181¹
LCM(21243,21258) = 150527898