What is the Least Common Multiple of 410 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 410 and 421 is 172610.
LCM(410,421) = 172610
Least Common Multiple of 410 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 410 and 421, than apply into the LCM equation.
GCF(410,421) = 1
LCM(410,421) = ( 410 × 421) / 1
LCM(410,421) = 172610 / 1
LCM(410,421) = 172610
Least Common Multiple (LCM) of 410 and 421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 410 and 421. First we will calculate the prime factors of 410 and 421.
Prime Factorization of 410
Prime factors of 410 are 2, 5, 41. Prime factorization of 410 in exponential form is:
410 = 21 × 51 × 411
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 410 and 421.
LCM(410,421) = 21 × 51 × 411 × 4211
LCM(410,421) = 172610
Related Least Common Multiples of 410
- LCM of 410 and 414
- LCM of 410 and 415
- LCM of 410 and 416
- LCM of 410 and 417
- LCM of 410 and 418
- LCM of 410 and 419
- LCM of 410 and 420
- LCM of 410 and 421
- LCM of 410 and 422
- LCM of 410 and 423
- LCM of 410 and 424
- LCM of 410 and 425
- LCM of 410 and 426
- LCM of 410 and 427
- LCM of 410 and 428
- LCM of 410 and 429
- LCM of 410 and 430
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