What is the Least Common Multiple of 6264 and 6273?
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 6264 and 6273 is 4366008.
LCM(6264,6273) = 4366008
Least Common Multiple of 6264 and 6273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6264 and 6273, than apply into the LCM equation.
GCF(6264,6273) = 9
LCM(6264,6273) = ( 6264 × 6273) / 9
LCM(6264,6273) = 39294072 / 9
LCM(6264,6273) = 4366008
Least Common Multiple (LCM) of 6264 and 6273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6264 and 6273. First we will calculate the prime factors of 6264 and 6273.
Prime Factorization of 6264
Prime factors of 6264 are 2, 3, 29. Prime factorization of 6264 in exponential form is:
6264 = 23 × 33 × 291
Prime Factorization of 6273
Prime factors of 6273 are 3, 17, 41. Prime factorization of 6273 in exponential form is:
6273 = 32 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 6264 and 6273.
LCM(6264,6273) = 23 × 33 × 291 × 171 × 411
LCM(6264,6273) = 4366008
Related Least Common Multiples of 6264
- LCM of 6264 and 6268
- LCM of 6264 and 6269
- LCM of 6264 and 6270
- LCM of 6264 and 6271
- LCM of 6264 and 6272
- LCM of 6264 and 6273
- LCM of 6264 and 6274
- LCM of 6264 and 6275
- LCM of 6264 and 6276
- LCM of 6264 and 6277
- LCM of 6264 and 6278
- LCM of 6264 and 6279
- LCM of 6264 and 6280
- LCM of 6264 and 6281
- LCM of 6264 and 6282
- LCM of 6264 and 6283
- LCM of 6264 and 6284
Related Least Common Multiples of 6273
- LCM of 6273 and 6277
- LCM of 6273 and 6278
- LCM of 6273 and 6279
- LCM of 6273 and 6280
- LCM of 6273 and 6281
- LCM of 6273 and 6282
- LCM of 6273 and 6283
- LCM of 6273 and 6284
- LCM of 6273 and 6285
- LCM of 6273 and 6286
- LCM of 6273 and 6287
- LCM of 6273 and 6288
- LCM of 6273 and 6289
- LCM of 6273 and 6290
- LCM of 6273 and 6291
- LCM of 6273 and 6292
- LCM of 6273 and 6293