What is the Least Common Multiple of 410 and 429?
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 429 is 175890.
LCM(410,429) = 175890
Least Common Multiple of 410 and 429 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 429, than apply into the LCM equation.
GCF(410,429) = 1
LCM(410,429) = ( 410 × 429) / 1
LCM(410,429) = 175890 / 1
LCM(410,429) = 175890
Least Common Multiple (LCM) of 410 and 429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 410 and 429. First we will calculate the prime factors of 410 and 429.
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 429
Prime factors of 429 are 3, 11, 13. Prime factorization of 429 in exponential form is:
429 = 31 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 410 and 429.
LCM(410,429) = 21 × 51 × 411 × 31 × 111 × 131
LCM(410,429) = 175890
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 429
- LCM of 429 and 433
- LCM of 429 and 434
- LCM of 429 and 435
- LCM of 429 and 436
- LCM of 429 and 437
- LCM of 429 and 438
- LCM of 429 and 439
- LCM of 429 and 440
- LCM of 429 and 441
- LCM of 429 and 442
- LCM of 429 and 443
- LCM of 429 and 444
- LCM of 429 and 445
- LCM of 429 and 446
- LCM of 429 and 447
- LCM of 429 and 448
- LCM of 429 and 449