What is the Least Common Multiple of 29344 and 29352?
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 29344 and 29352 is 107663136.
LCM(29344,29352) = 107663136
Least Common Multiple of 29344 and 29352 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29344 and 29352, than apply into the LCM equation.
GCF(29344,29352) = 8
LCM(29344,29352) = ( 29344 × 29352) / 8
LCM(29344,29352) = 861305088 / 8
LCM(29344,29352) = 107663136
Least Common Multiple (LCM) of 29344 and 29352 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29344 and 29352. First we will calculate the prime factors of 29344 and 29352.
Prime Factorization of 29344
Prime factors of 29344 are 2, 7, 131. Prime factorization of 29344 in exponential form is:
29344 = 25 × 71 × 1311
Prime Factorization of 29352
Prime factors of 29352 are 2, 3, 1223. Prime factorization of 29352 in exponential form is:
29352 = 23 × 31 × 12231
Now multiplying the highest exponent prime factors to calculate the LCM of 29344 and 29352.
LCM(29344,29352) = 25 × 71 × 1311 × 31 × 12231
LCM(29344,29352) = 107663136
Related Least Common Multiples of 29344
- LCM of 29344 and 29348
- LCM of 29344 and 29349
- LCM of 29344 and 29350
- LCM of 29344 and 29351
- LCM of 29344 and 29352
- LCM of 29344 and 29353
- LCM of 29344 and 29354
- LCM of 29344 and 29355
- LCM of 29344 and 29356
- LCM of 29344 and 29357
- LCM of 29344 and 29358
- LCM of 29344 and 29359
- LCM of 29344 and 29360
- LCM of 29344 and 29361
- LCM of 29344 and 29362
- LCM of 29344 and 29363
- LCM of 29344 and 29364
Related Least Common Multiples of 29352
- LCM of 29352 and 29356
- LCM of 29352 and 29357
- LCM of 29352 and 29358
- LCM of 29352 and 29359
- LCM of 29352 and 29360
- LCM of 29352 and 29361
- LCM of 29352 and 29362
- LCM of 29352 and 29363
- LCM of 29352 and 29364
- LCM of 29352 and 29365
- LCM of 29352 and 29366
- LCM of 29352 and 29367
- LCM of 29352 and 29368
- LCM of 29352 and 29369
- LCM of 29352 and 29370
- LCM of 29352 and 29371
- LCM of 29352 and 29372