What is the Least Common Multiple of 9338 and 9351?

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 9338 and 9351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9338 and 9351, than apply into the LCM equation.

GCF(9338,9351) = 1
LCM(9338,9351) = ( 9338 × 9351) / 1
LCM(9338,9351) = 87319638 / 1
LCM(9338,9351) = 87319638

Least Common Multiple (LCM) of 9338 and 9351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9338 and 9351. First we will calculate the prime factors of 9338 and 9351.

Prime Factorization of 9338

Prime Factorization of 9351

Now multiplying the highest exponent prime factors to calculate the LCM of 9338 and 9351.

LCM(9338,9351) = 2¹ × 7¹ × 23¹ × 29¹ × 3² × 1039¹
LCM(9338,9351) = 87319638