What is the Least Common Multiple of 9249 and 9258?

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 9249 and 9258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9249 and 9258, than apply into the LCM equation.

GCF(9249,9258) = 3
LCM(9249,9258) = ( 9249 × 9258) / 3
LCM(9249,9258) = 85627242 / 3
LCM(9249,9258) = 28542414

Least Common Multiple (LCM) of 9249 and 9258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9249 and 9258. First we will calculate the prime factors of 9249 and 9258.

Prime Factorization of 9249

Prime Factorization of 9258

Now multiplying the highest exponent prime factors to calculate the LCM of 9249 and 9258.

LCM(9249,9258) = 3¹ × 3083¹ × 2¹ × 1543¹
LCM(9249,9258) = 28542414