What is the Least Common Multiple of 424 and 442?
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 424 and 442 is 93704.
LCM(424,442) = 93704
Least Common Multiple of 424 and 442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 442, than apply into the LCM equation.
GCF(424,442) = 2
LCM(424,442) = ( 424 × 442) / 2
LCM(424,442) = 187408 / 2
LCM(424,442) = 93704
Least Common Multiple (LCM) of 424 and 442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 442. First we will calculate the prime factors of 424 and 442.
Prime Factorization of 424
Prime factors of 424 are 2, 53. Prime factorization of 424 in exponential form is:
424 = 23 × 531
Prime Factorization of 442
Prime factors of 442 are 2, 13, 17. Prime factorization of 442 in exponential form is:
442 = 21 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 424 and 442.
LCM(424,442) = 23 × 531 × 131 × 171
LCM(424,442) = 93704
Related Least Common Multiples of 424
- LCM of 424 and 428
- LCM of 424 and 429
- LCM of 424 and 430
- LCM of 424 and 431
- LCM of 424 and 432
- LCM of 424 and 433
- LCM of 424 and 434
- LCM of 424 and 435
- LCM of 424 and 436
- LCM of 424 and 437
- LCM of 424 and 438
- LCM of 424 and 439
- LCM of 424 and 440
- LCM of 424 and 441
- LCM of 424 and 442
- LCM of 424 and 443
- LCM of 424 and 444
Related Least Common Multiples of 442
- LCM of 442 and 446
- LCM of 442 and 447
- LCM of 442 and 448
- LCM of 442 and 449
- LCM of 442 and 450
- LCM of 442 and 451
- LCM of 442 and 452
- LCM of 442 and 453
- LCM of 442 and 454
- LCM of 442 and 455
- LCM of 442 and 456
- LCM of 442 and 457
- LCM of 442 and 458
- LCM of 442 and 459
- LCM of 442 and 460
- LCM of 442 and 461
- LCM of 442 and 462