What is the Least Common Multiple of 406 and 421?
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 406 and 421 is 170926.
LCM(406,421) = 170926
Least Common Multiple of 406 and 421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 406 and 421, than apply into the LCM equation.
GCF(406,421) = 1
LCM(406,421) = ( 406 × 421) / 1
LCM(406,421) = 170926 / 1
LCM(406,421) = 170926
Least Common Multiple (LCM) of 406 and 421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 406 and 421. First we will calculate the prime factors of 406 and 421.
Prime Factorization of 406
Prime factors of 406 are 2, 7, 29. Prime factorization of 406 in exponential form is:
406 = 21 × 71 × 291
Prime Factorization of 421
Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:
421 = 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 406 and 421.
LCM(406,421) = 21 × 71 × 291 × 4211
LCM(406,421) = 170926
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
Related Least Common Multiples of 421
- LCM of 421 and 425
- LCM of 421 and 426
- LCM of 421 and 427
- LCM of 421 and 428
- LCM of 421 and 429
- LCM of 421 and 430
- LCM of 421 and 431
- LCM of 421 and 432
- LCM of 421 and 433
- LCM of 421 and 434
- LCM of 421 and 435
- LCM of 421 and 436
- LCM of 421 and 437
- LCM of 421 and 438
- LCM of 421 and 439
- LCM of 421 and 440
- LCM of 421 and 441