What is the Least Common Multiple of 6360 and 6380?
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 6360 and 6380 is 2028840.
LCM(6360,6380) = 2028840
Least Common Multiple of 6360 and 6380 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6360 and 6380, than apply into the LCM equation.
GCF(6360,6380) = 20
LCM(6360,6380) = ( 6360 × 6380) / 20
LCM(6360,6380) = 40576800 / 20
LCM(6360,6380) = 2028840
Least Common Multiple (LCM) of 6360 and 6380 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6360 and 6380. First we will calculate the prime factors of 6360 and 6380.
Prime Factorization of 6360
Prime factors of 6360 are 2, 3, 5, 53. Prime factorization of 6360 in exponential form is:
6360 = 23 × 31 × 51 × 531
Prime Factorization of 6380
Prime factors of 6380 are 2, 5, 11, 29. Prime factorization of 6380 in exponential form is:
6380 = 22 × 51 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 6360 and 6380.
LCM(6360,6380) = 23 × 31 × 51 × 531 × 111 × 291
LCM(6360,6380) = 2028840
Related Least Common Multiples of 6360
- LCM of 6360 and 6364
- LCM of 6360 and 6365
- LCM of 6360 and 6366
- LCM of 6360 and 6367
- LCM of 6360 and 6368
- LCM of 6360 and 6369
- LCM of 6360 and 6370
- LCM of 6360 and 6371
- LCM of 6360 and 6372
- LCM of 6360 and 6373
- LCM of 6360 and 6374
- LCM of 6360 and 6375
- LCM of 6360 and 6376
- LCM of 6360 and 6377
- LCM of 6360 and 6378
- LCM of 6360 and 6379
- LCM of 6360 and 6380
Related Least Common Multiples of 6380
- LCM of 6380 and 6384
- LCM of 6380 and 6385
- LCM of 6380 and 6386
- LCM of 6380 and 6387
- LCM of 6380 and 6388
- LCM of 6380 and 6389
- LCM of 6380 and 6390
- LCM of 6380 and 6391
- LCM of 6380 and 6392
- LCM of 6380 and 6393
- LCM of 6380 and 6394
- LCM of 6380 and 6395
- LCM of 6380 and 6396
- LCM of 6380 and 6397
- LCM of 6380 and 6398
- LCM of 6380 and 6399
- LCM of 6380 and 6400