What is the Least Common Multiple of 14358 and 14378?
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 14358 and 14378 is 103219662.
LCM(14358,14378) = 103219662
Least Common Multiple of 14358 and 14378 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14358 and 14378, than apply into the LCM equation.
GCF(14358,14378) = 2
LCM(14358,14378) = ( 14358 × 14378) / 2
LCM(14358,14378) = 206439324 / 2
LCM(14358,14378) = 103219662
Least Common Multiple (LCM) of 14358 and 14378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14358 and 14378. First we will calculate the prime factors of 14358 and 14378.
Prime Factorization of 14358
Prime factors of 14358 are 2, 3, 2393. Prime factorization of 14358 in exponential form is:
14358 = 21 × 31 × 23931
Prime Factorization of 14378
Prime factors of 14378 are 2, 7, 13, 79. Prime factorization of 14378 in exponential form is:
14378 = 21 × 71 × 131 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 14358 and 14378.
LCM(14358,14378) = 21 × 31 × 23931 × 71 × 131 × 791
LCM(14358,14378) = 103219662
Related Least Common Multiples of 14358
- LCM of 14358 and 14362
- LCM of 14358 and 14363
- LCM of 14358 and 14364
- LCM of 14358 and 14365
- LCM of 14358 and 14366
- LCM of 14358 and 14367
- LCM of 14358 and 14368
- LCM of 14358 and 14369
- LCM of 14358 and 14370
- LCM of 14358 and 14371
- LCM of 14358 and 14372
- LCM of 14358 and 14373
- LCM of 14358 and 14374
- LCM of 14358 and 14375
- LCM of 14358 and 14376
- LCM of 14358 and 14377
- LCM of 14358 and 14378
Related Least Common Multiples of 14378
- LCM of 14378 and 14382
- LCM of 14378 and 14383
- LCM of 14378 and 14384
- LCM of 14378 and 14385
- LCM of 14378 and 14386
- LCM of 14378 and 14387
- LCM of 14378 and 14388
- LCM of 14378 and 14389
- LCM of 14378 and 14390
- LCM of 14378 and 14391
- LCM of 14378 and 14392
- LCM of 14378 and 14393
- LCM of 14378 and 14394
- LCM of 14378 and 14395
- LCM of 14378 and 14396
- LCM of 14378 and 14397
- LCM of 14378 and 14398