What is the Least Common Multiple of 380 and 400?
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 380 and 400 is 7600.
LCM(380,400) = 7600
Least Common Multiple of 380 and 400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 380 and 400, than apply into the LCM equation.
GCF(380,400) = 20
LCM(380,400) = ( 380 × 400) / 20
LCM(380,400) = 152000 / 20
LCM(380,400) = 7600
Least Common Multiple (LCM) of 380 and 400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 400. First we will calculate the prime factors of 380 and 400.
Prime Factorization of 380
Prime factors of 380 are 2, 5, 19. Prime factorization of 380 in exponential form is:
380 = 22 × 51 × 191
Prime Factorization of 400
Prime factors of 400 are 2, 5. Prime factorization of 400 in exponential form is:
400 = 24 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 380 and 400.
LCM(380,400) = 24 × 52 × 191
LCM(380,400) = 7600
Related Least Common Multiples of 380
- LCM of 380 and 384
- LCM of 380 and 385
- LCM of 380 and 386
- LCM of 380 and 387
- LCM of 380 and 388
- LCM of 380 and 389
- LCM of 380 and 390
- LCM of 380 and 391
- LCM of 380 and 392
- LCM of 380 and 393
- LCM of 380 and 394
- LCM of 380 and 395
- LCM of 380 and 396
- LCM of 380 and 397
- LCM of 380 and 398
- LCM of 380 and 399
- LCM of 380 and 400
Related Least Common Multiples of 400
- LCM of 400 and 404
- LCM of 400 and 405
- LCM of 400 and 406
- LCM of 400 and 407
- LCM of 400 and 408
- LCM of 400 and 409
- LCM of 400 and 410
- LCM of 400 and 411
- LCM of 400 and 412
- LCM of 400 and 413
- LCM of 400 and 414
- LCM of 400 and 415
- LCM of 400 and 416
- LCM of 400 and 417
- LCM of 400 and 418
- LCM of 400 and 419
- LCM of 400 and 420