What is the Least Common Multiple of 14367 and 14380?
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 14367 and 14380 is 206597460.
LCM(14367,14380) = 206597460
Least Common Multiple of 14367 and 14380 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14367 and 14380, than apply into the LCM equation.
GCF(14367,14380) = 1
LCM(14367,14380) = ( 14367 × 14380) / 1
LCM(14367,14380) = 206597460 / 1
LCM(14367,14380) = 206597460
Least Common Multiple (LCM) of 14367 and 14380 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14367 and 14380. First we will calculate the prime factors of 14367 and 14380.
Prime Factorization of 14367
Prime factors of 14367 are 3, 4789. Prime factorization of 14367 in exponential form is:
14367 = 31 × 47891
Prime Factorization of 14380
Prime factors of 14380 are 2, 5, 719. Prime factorization of 14380 in exponential form is:
14380 = 22 × 51 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 14367 and 14380.
LCM(14367,14380) = 31 × 47891 × 22 × 51 × 7191
LCM(14367,14380) = 206597460
Related Least Common Multiples of 14367
- LCM of 14367 and 14371
- LCM of 14367 and 14372
- LCM of 14367 and 14373
- LCM of 14367 and 14374
- LCM of 14367 and 14375
- LCM of 14367 and 14376
- LCM of 14367 and 14377
- LCM of 14367 and 14378
- LCM of 14367 and 14379
- LCM of 14367 and 14380
- LCM of 14367 and 14381
- LCM of 14367 and 14382
- LCM of 14367 and 14383
- LCM of 14367 and 14384
- LCM of 14367 and 14385
- LCM of 14367 and 14386
- LCM of 14367 and 14387
Related Least Common Multiples of 14380
- LCM of 14380 and 14384
- LCM of 14380 and 14385
- LCM of 14380 and 14386
- LCM of 14380 and 14387
- LCM of 14380 and 14388
- LCM of 14380 and 14389
- LCM of 14380 and 14390
- LCM of 14380 and 14391
- LCM of 14380 and 14392
- LCM of 14380 and 14393
- LCM of 14380 and 14394
- LCM of 14380 and 14395
- LCM of 14380 and 14396
- LCM of 14380 and 14397
- LCM of 14380 and 14398
- LCM of 14380 and 14399
- LCM of 14380 and 14400