GCF and LCM Calculator Logo

What is the Least Common Multiple of 9353 and 9369?

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 (LCM) of 9353 and 9369 is 87628257.

LCM(9353,9369) = 87628257

LCM Calculator and
and

Least Common Multiple of 9353 and 9369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9353 and 9369, than apply into the LCM equation.

GCF(9353,9369) = 1
LCM(9353,9369) = ( 9353 × 9369) / 1
LCM(9353,9369) = 87628257 / 1
LCM(9353,9369) = 87628257

Least Common Multiple (LCM) of 9353 and 9369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9353 and 9369. First we will calculate the prime factors of 9353 and 9369.

Prime Factorization of 9353

Prime factors of 9353 are 47, 199. Prime factorization of 9353 in exponential form is:

9353 = 471 × 1991

Prime Factorization of 9369

Prime factors of 9369 are 3, 347. Prime factorization of 9369 in exponential form is:

9369 = 33 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 9353 and 9369.

LCM(9353,9369) = 471 × 1991 × 33 × 3471
LCM(9353,9369) = 87628257