What is the Least Common Multiple of 9238 and 9257?

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 9257 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 9257, than apply into the LCM equation.

GCF(9238,9257) = 1
LCM(9238,9257) = ( 9238 × 9257) / 1
LCM(9238,9257) = 85516166 / 1
LCM(9238,9257) = 85516166

Least Common Multiple (LCM) of 9238 and 9257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9257. First we will calculate the prime factors of 9238 and 9257.

Prime Factorization of 9238

Prime Factorization of 9257

Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9257.

LCM(9238,9257) = 2¹ × 31¹ × 149¹ × 9257¹
LCM(9238,9257) = 85516166