What is the Least Common Multiple of 5355 and 5365?
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 5355 and 5365 is 5745915.
LCM(5355,5365) = 5745915
Least Common Multiple of 5355 and 5365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5355 and 5365, than apply into the LCM equation.
GCF(5355,5365) = 5
LCM(5355,5365) = ( 5355 × 5365) / 5
LCM(5355,5365) = 28729575 / 5
LCM(5355,5365) = 5745915
Least Common Multiple (LCM) of 5355 and 5365 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5355 and 5365. First we will calculate the prime factors of 5355 and 5365.
Prime Factorization of 5355
Prime factors of 5355 are 3, 5, 7, 17. Prime factorization of 5355 in exponential form is:
5355 = 32 × 51 × 71 × 171
Prime Factorization of 5365
Prime factors of 5365 are 5, 29, 37. Prime factorization of 5365 in exponential form is:
5365 = 51 × 291 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 5355 and 5365.
LCM(5355,5365) = 32 × 51 × 71 × 171 × 291 × 371
LCM(5355,5365) = 5745915
Related Least Common Multiples of 5355
- LCM of 5355 and 5359
- LCM of 5355 and 5360
- LCM of 5355 and 5361
- LCM of 5355 and 5362
- LCM of 5355 and 5363
- LCM of 5355 and 5364
- LCM of 5355 and 5365
- LCM of 5355 and 5366
- LCM of 5355 and 5367
- LCM of 5355 and 5368
- LCM of 5355 and 5369
- LCM of 5355 and 5370
- LCM of 5355 and 5371
- LCM of 5355 and 5372
- LCM of 5355 and 5373
- LCM of 5355 and 5374
- LCM of 5355 and 5375
Related Least Common Multiples of 5365
- LCM of 5365 and 5369
- LCM of 5365 and 5370
- LCM of 5365 and 5371
- LCM of 5365 and 5372
- LCM of 5365 and 5373
- LCM of 5365 and 5374
- LCM of 5365 and 5375
- LCM of 5365 and 5376
- LCM of 5365 and 5377
- LCM of 5365 and 5378
- LCM of 5365 and 5379
- LCM of 5365 and 5380
- LCM of 5365 and 5381
- LCM of 5365 and 5382
- LCM of 5365 and 5383
- LCM of 5365 and 5384
- LCM of 5365 and 5385