What is the Least Common Multiple of 8309 and 8328?
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 8309 and 8328 is 69197352.
LCM(8309,8328) = 69197352
Least Common Multiple of 8309 and 8328 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8309 and 8328, than apply into the LCM equation.
GCF(8309,8328) = 1
LCM(8309,8328) = ( 8309 × 8328) / 1
LCM(8309,8328) = 69197352 / 1
LCM(8309,8328) = 69197352
Least Common Multiple (LCM) of 8309 and 8328 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8309 and 8328. First we will calculate the prime factors of 8309 and 8328.
Prime Factorization of 8309
Prime factors of 8309 are 7, 1187. Prime factorization of 8309 in exponential form is:
8309 = 71 × 11871
Prime Factorization of 8328
Prime factors of 8328 are 2, 3, 347. Prime factorization of 8328 in exponential form is:
8328 = 23 × 31 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 8309 and 8328.
LCM(8309,8328) = 71 × 11871 × 23 × 31 × 3471
LCM(8309,8328) = 69197352
Related Least Common Multiples of 8309
- LCM of 8309 and 8313
- LCM of 8309 and 8314
- LCM of 8309 and 8315
- LCM of 8309 and 8316
- LCM of 8309 and 8317
- LCM of 8309 and 8318
- LCM of 8309 and 8319
- LCM of 8309 and 8320
- LCM of 8309 and 8321
- LCM of 8309 and 8322
- LCM of 8309 and 8323
- LCM of 8309 and 8324
- LCM of 8309 and 8325
- LCM of 8309 and 8326
- LCM of 8309 and 8327
- LCM of 8309 and 8328
- LCM of 8309 and 8329
Related Least Common Multiples of 8328
- LCM of 8328 and 8332
- LCM of 8328 and 8333
- LCM of 8328 and 8334
- LCM of 8328 and 8335
- LCM of 8328 and 8336
- LCM of 8328 and 8337
- LCM of 8328 and 8338
- LCM of 8328 and 8339
- LCM of 8328 and 8340
- LCM of 8328 and 8341
- LCM of 8328 and 8342
- LCM of 8328 and 8343
- LCM of 8328 and 8344
- LCM of 8328 and 8345
- LCM of 8328 and 8346
- LCM of 8328 and 8347
- LCM of 8328 and 8348