What is the Least Common Multiple of 6293 and 6309?
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 6293 and 6309 is 39702537.
LCM(6293,6309) = 39702537
Least Common Multiple of 6293 and 6309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6293 and 6309, than apply into the LCM equation.
GCF(6293,6309) = 1
LCM(6293,6309) = ( 6293 × 6309) / 1
LCM(6293,6309) = 39702537 / 1
LCM(6293,6309) = 39702537
Least Common Multiple (LCM) of 6293 and 6309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6293 and 6309. First we will calculate the prime factors of 6293 and 6309.
Prime Factorization of 6293
Prime factors of 6293 are 7, 29, 31. Prime factorization of 6293 in exponential form is:
6293 = 71 × 291 × 311
Prime Factorization of 6309
Prime factors of 6309 are 3, 701. Prime factorization of 6309 in exponential form is:
6309 = 32 × 7011
Now multiplying the highest exponent prime factors to calculate the LCM of 6293 and 6309.
LCM(6293,6309) = 71 × 291 × 311 × 32 × 7011
LCM(6293,6309) = 39702537
Related Least Common Multiples of 6293
- LCM of 6293 and 6297
- LCM of 6293 and 6298
- LCM of 6293 and 6299
- LCM of 6293 and 6300
- LCM of 6293 and 6301
- LCM of 6293 and 6302
- LCM of 6293 and 6303
- LCM of 6293 and 6304
- LCM of 6293 and 6305
- LCM of 6293 and 6306
- LCM of 6293 and 6307
- LCM of 6293 and 6308
- LCM of 6293 and 6309
- LCM of 6293 and 6310
- LCM of 6293 and 6311
- LCM of 6293 and 6312
- LCM of 6293 and 6313
Related Least Common Multiples of 6309
- LCM of 6309 and 6313
- LCM of 6309 and 6314
- LCM of 6309 and 6315
- LCM of 6309 and 6316
- LCM of 6309 and 6317
- LCM of 6309 and 6318
- LCM of 6309 and 6319
- LCM of 6309 and 6320
- LCM of 6309 and 6321
- LCM of 6309 and 6322
- LCM of 6309 and 6323
- LCM of 6309 and 6324
- LCM of 6309 and 6325
- LCM of 6309 and 6326
- LCM of 6309 and 6327
- LCM of 6309 and 6328
- LCM of 6309 and 6329