What is the Least Common Multiple of 9258 and 9263?

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 9258 and 9263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9258 and 9263, than apply into the LCM equation.

GCF(9258,9263) = 1
LCM(9258,9263) = ( 9258 × 9263) / 1
LCM(9258,9263) = 85756854 / 1
LCM(9258,9263) = 85756854

Least Common Multiple (LCM) of 9258 and 9263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9258 and 9263. First we will calculate the prime factors of 9258 and 9263.

Prime Factorization of 9258

Prime Factorization of 9263

Now multiplying the highest exponent prime factors to calculate the LCM of 9258 and 9263.

LCM(9258,9263) = 2¹ × 3¹ × 1543¹ × 59¹ × 157¹
LCM(9258,9263) = 85756854