What is the Least Common Multiple of 9369 and 9378?

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 9369 and 9378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9369 and 9378, than apply into the LCM equation.

GCF(9369,9378) = 9
LCM(9369,9378) = ( 9369 × 9378) / 9
LCM(9369,9378) = 87862482 / 9
LCM(9369,9378) = 9762498

Least Common Multiple (LCM) of 9369 and 9378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9369 and 9378. First we will calculate the prime factors of 9369 and 9378.

Prime Factorization of 9369

Prime Factorization of 9378

Now multiplying the highest exponent prime factors to calculate the LCM of 9369 and 9378.

LCM(9369,9378) = 3³ × 347¹ × 2¹ × 521¹
LCM(9369,9378) = 9762498