What is the Least Common Multiple of 9238 and 9243?

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 9238 and 9243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9238 and 9243, than apply into the LCM equation.

GCF(9238,9243) = 1
LCM(9238,9243) = ( 9238 × 9243) / 1
LCM(9238,9243) = 85386834 / 1
LCM(9238,9243) = 85386834

Least Common Multiple (LCM) of 9238 and 9243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9243. First we will calculate the prime factors of 9238 and 9243.

Prime Factorization of 9238

Prime Factorization of 9243

Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9243.

LCM(9238,9243) = 2¹ × 31¹ × 149¹ × 3² × 13¹ × 79¹
LCM(9238,9243) = 85386834