What is the Least Common Multiple of 423 and 434?
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 423 and 434 is 183582.
LCM(423,434) = 183582
Least Common Multiple of 423 and 434 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 423 and 434, than apply into the LCM equation.
GCF(423,434) = 1
LCM(423,434) = ( 423 × 434) / 1
LCM(423,434) = 183582 / 1
LCM(423,434) = 183582
Least Common Multiple (LCM) of 423 and 434 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 434. First we will calculate the prime factors of 423 and 434.
Prime Factorization of 423
Prime factors of 423 are 3, 47. Prime factorization of 423 in exponential form is:
423 = 32 × 471
Prime Factorization of 434
Prime factors of 434 are 2, 7, 31. Prime factorization of 434 in exponential form is:
434 = 21 × 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 423 and 434.
LCM(423,434) = 32 × 471 × 21 × 71 × 311
LCM(423,434) = 183582
Related Least Common Multiples of 423
- LCM of 423 and 427
- LCM of 423 and 428
- LCM of 423 and 429
- LCM of 423 and 430
- LCM of 423 and 431
- LCM of 423 and 432
- LCM of 423 and 433
- LCM of 423 and 434
- LCM of 423 and 435
- LCM of 423 and 436
- LCM of 423 and 437
- LCM of 423 and 438
- LCM of 423 and 439
- LCM of 423 and 440
- LCM of 423 and 441
- LCM of 423 and 442
- LCM of 423 and 443
Related Least Common Multiples of 434
- LCM of 434 and 438
- LCM of 434 and 439
- LCM of 434 and 440
- LCM of 434 and 441
- LCM of 434 and 442
- LCM of 434 and 443
- LCM of 434 and 444
- LCM of 434 and 445
- LCM of 434 and 446
- LCM of 434 and 447
- LCM of 434 and 448
- LCM of 434 and 449
- LCM of 434 and 450
- LCM of 434 and 451
- LCM of 434 and 452
- LCM of 434 and 453
- LCM of 434 and 454