What is the Least Common Multiple of 9303 and 9313?

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 9303 and 9313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9303 and 9313, than apply into the LCM equation.

GCF(9303,9313) = 1
LCM(9303,9313) = ( 9303 × 9313) / 1
LCM(9303,9313) = 86638839 / 1
LCM(9303,9313) = 86638839

Least Common Multiple (LCM) of 9303 and 9313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9303 and 9313. First we will calculate the prime factors of 9303 and 9313.

Prime Factorization of 9303

Prime Factorization of 9313

Now multiplying the highest exponent prime factors to calculate the LCM of 9303 and 9313.

LCM(9303,9313) = 3¹ × 7¹ × 443¹ × 67¹ × 139¹
LCM(9303,9313) = 86638839