What is the Least Common Multiple of 14355 and 14375?
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 14355 and 14375 is 41270625.
LCM(14355,14375) = 41270625
Least Common Multiple of 14355 and 14375 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14355 and 14375, than apply into the LCM equation.
GCF(14355,14375) = 5
LCM(14355,14375) = ( 14355 × 14375) / 5
LCM(14355,14375) = 206353125 / 5
LCM(14355,14375) = 41270625
Least Common Multiple (LCM) of 14355 and 14375 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14355 and 14375. First we will calculate the prime factors of 14355 and 14375.
Prime Factorization of 14355
Prime factors of 14355 are 3, 5, 11, 29. Prime factorization of 14355 in exponential form is:
14355 = 32 × 51 × 111 × 291
Prime Factorization of 14375
Prime factors of 14375 are 5, 23. Prime factorization of 14375 in exponential form is:
14375 = 54 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 14355 and 14375.
LCM(14355,14375) = 32 × 54 × 111 × 291 × 231
LCM(14355,14375) = 41270625
Related Least Common Multiples of 14355
- LCM of 14355 and 14359
- LCM of 14355 and 14360
- LCM of 14355 and 14361
- LCM of 14355 and 14362
- LCM of 14355 and 14363
- LCM of 14355 and 14364
- LCM of 14355 and 14365
- LCM of 14355 and 14366
- LCM of 14355 and 14367
- LCM of 14355 and 14368
- LCM of 14355 and 14369
- LCM of 14355 and 14370
- LCM of 14355 and 14371
- LCM of 14355 and 14372
- LCM of 14355 and 14373
- LCM of 14355 and 14374
- LCM of 14355 and 14375
Related Least Common Multiples of 14375
- LCM of 14375 and 14379
- LCM of 14375 and 14380
- LCM of 14375 and 14381
- LCM of 14375 and 14382
- LCM of 14375 and 14383
- LCM of 14375 and 14384
- LCM of 14375 and 14385
- LCM of 14375 and 14386
- LCM of 14375 and 14387
- LCM of 14375 and 14388
- LCM of 14375 and 14389
- LCM of 14375 and 14390
- LCM of 14375 and 14391
- LCM of 14375 and 14392
- LCM of 14375 and 14393
- LCM of 14375 and 14394
- LCM of 14375 and 14395