What is the Least Common Multiple of 9243 and 9251?

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 9243 and 9251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9243 and 9251, than apply into the LCM equation.

GCF(9243,9251) = 1
LCM(9243,9251) = ( 9243 × 9251) / 1
LCM(9243,9251) = 85506993 / 1
LCM(9243,9251) = 85506993

Least Common Multiple (LCM) of 9243 and 9251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9243 and 9251. First we will calculate the prime factors of 9243 and 9251.

Prime Factorization of 9243

Prime Factorization of 9251

Now multiplying the highest exponent prime factors to calculate the LCM of 9243 and 9251.

LCM(9243,9251) = 3² × 13¹ × 79¹ × 11¹ × 29²
LCM(9243,9251) = 85506993