What is the Least Common Multiple of 365 and 384?
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 365 and 384 is 140160.
LCM(365,384) = 140160
Least Common Multiple of 365 and 384 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 384, than apply into the LCM equation.
GCF(365,384) = 1
LCM(365,384) = ( 365 × 384) / 1
LCM(365,384) = 140160 / 1
LCM(365,384) = 140160
Least Common Multiple (LCM) of 365 and 384 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 384. First we will calculate the prime factors of 365 and 384.
Prime Factorization of 365
Prime factors of 365 are 5, 73. Prime factorization of 365 in exponential form is:
365 = 51 × 731
Prime Factorization of 384
Prime factors of 384 are 2, 3. Prime factorization of 384 in exponential form is:
384 = 27 × 31
Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 384.
LCM(365,384) = 51 × 731 × 27 × 31
LCM(365,384) = 140160
Related Least Common Multiples of 365
- LCM of 365 and 369
- LCM of 365 and 370
- LCM of 365 and 371
- LCM of 365 and 372
- LCM of 365 and 373
- LCM of 365 and 374
- LCM of 365 and 375
- LCM of 365 and 376
- LCM of 365 and 377
- LCM of 365 and 378
- LCM of 365 and 379
- LCM of 365 and 380
- LCM of 365 and 381
- LCM of 365 and 382
- LCM of 365 and 383
- LCM of 365 and 384
- LCM of 365 and 385
Related Least Common Multiples of 384
- LCM of 384 and 388
- LCM of 384 and 389
- LCM of 384 and 390
- LCM of 384 and 391
- LCM of 384 and 392
- LCM of 384 and 393
- LCM of 384 and 394
- LCM of 384 and 395
- LCM of 384 and 396
- LCM of 384 and 397
- LCM of 384 and 398
- LCM of 384 and 399
- LCM of 384 and 400
- LCM of 384 and 401
- LCM of 384 and 402
- LCM of 384 and 403
- LCM of 384 and 404