What is the Least Common Multiple of 417 and 435?
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 417 and 435 is 60465.
LCM(417,435) = 60465
Least Common Multiple of 417 and 435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 417 and 435, than apply into the LCM equation.
GCF(417,435) = 3
LCM(417,435) = ( 417 × 435) / 3
LCM(417,435) = 181395 / 3
LCM(417,435) = 60465
Least Common Multiple (LCM) of 417 and 435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 417 and 435. First we will calculate the prime factors of 417 and 435.
Prime Factorization of 417
Prime factors of 417 are 3, 139. Prime factorization of 417 in exponential form is:
417 = 31 × 1391
Prime Factorization of 435
Prime factors of 435 are 3, 5, 29. Prime factorization of 435 in exponential form is:
435 = 31 × 51 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 417 and 435.
LCM(417,435) = 31 × 1391 × 51 × 291
LCM(417,435) = 60465
Related Least Common Multiples of 417
- LCM of 417 and 421
- LCM of 417 and 422
- LCM of 417 and 423
- LCM of 417 and 424
- LCM of 417 and 425
- LCM of 417 and 426
- LCM of 417 and 427
- LCM of 417 and 428
- LCM of 417 and 429
- LCM of 417 and 430
- LCM of 417 and 431
- LCM of 417 and 432
- LCM of 417 and 433
- LCM of 417 and 434
- LCM of 417 and 435
- LCM of 417 and 436
- LCM of 417 and 437
Related Least Common Multiples of 435
- LCM of 435 and 439
- LCM of 435 and 440
- LCM of 435 and 441
- LCM of 435 and 442
- LCM of 435 and 443
- LCM of 435 and 444
- LCM of 435 and 445
- LCM of 435 and 446
- LCM of 435 and 447
- LCM of 435 and 448
- LCM of 435 and 449
- LCM of 435 and 450
- LCM of 435 and 451
- LCM of 435 and 452
- LCM of 435 and 453
- LCM of 435 and 454
- LCM of 435 and 455