What is the Least Common Multiple of 395 and 406?
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 395 and 406 is 160370.
LCM(395,406) = 160370
Least Common Multiple of 395 and 406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 395 and 406, than apply into the LCM equation.
GCF(395,406) = 1
LCM(395,406) = ( 395 × 406) / 1
LCM(395,406) = 160370 / 1
LCM(395,406) = 160370
Least Common Multiple (LCM) of 395 and 406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 395 and 406. First we will calculate the prime factors of 395 and 406.
Prime Factorization of 395
Prime factors of 395 are 5, 79. Prime factorization of 395 in exponential form is:
395 = 51 × 791
Prime Factorization of 406
Prime factors of 406 are 2, 7, 29. Prime factorization of 406 in exponential form is:
406 = 21 × 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 395 and 406.
LCM(395,406) = 51 × 791 × 21 × 71 × 291
LCM(395,406) = 160370
Related Least Common Multiples of 395
- LCM of 395 and 399
- LCM of 395 and 400
- LCM of 395 and 401
- LCM of 395 and 402
- LCM of 395 and 403
- LCM of 395 and 404
- LCM of 395 and 405
- LCM of 395 and 406
- LCM of 395 and 407
- LCM of 395 and 408
- LCM of 395 and 409
- LCM of 395 and 410
- LCM of 395 and 411
- LCM of 395 and 412
- LCM of 395 and 413
- LCM of 395 and 414
- LCM of 395 and 415
Related Least Common Multiples of 406
- LCM of 406 and 410
- LCM of 406 and 411
- LCM of 406 and 412
- LCM of 406 and 413
- LCM of 406 and 414
- LCM of 406 and 415
- LCM of 406 and 416
- LCM of 406 and 417
- LCM of 406 and 418
- LCM of 406 and 419
- LCM of 406 and 420
- LCM of 406 and 421
- LCM of 406 and 422
- LCM of 406 and 423
- LCM of 406 and 424
- LCM of 406 and 425
- LCM of 406 and 426