What is the Least Common Multiple of 419 and 438?
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 419 and 438 is 183522.
LCM(419,438) = 183522
Least Common Multiple of 419 and 438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 419 and 438, than apply into the LCM equation.
GCF(419,438) = 1
LCM(419,438) = ( 419 × 438) / 1
LCM(419,438) = 183522 / 1
LCM(419,438) = 183522
Least Common Multiple (LCM) of 419 and 438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 419 and 438. First we will calculate the prime factors of 419 and 438.
Prime Factorization of 419
Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:
419 = 4191
Prime Factorization of 438
Prime factors of 438 are 2, 3, 73. Prime factorization of 438 in exponential form is:
438 = 21 × 31 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 419 and 438.
LCM(419,438) = 4191 × 21 × 31 × 731
LCM(419,438) = 183522
Related Least Common Multiples of 419
- LCM of 419 and 423
- LCM of 419 and 424
- LCM of 419 and 425
- LCM of 419 and 426
- LCM of 419 and 427
- LCM of 419 and 428
- LCM of 419 and 429
- LCM of 419 and 430
- LCM of 419 and 431
- LCM of 419 and 432
- LCM of 419 and 433
- LCM of 419 and 434
- LCM of 419 and 435
- LCM of 419 and 436
- LCM of 419 and 437
- LCM of 419 and 438
- LCM of 419 and 439
Related Least Common Multiples of 438
- LCM of 438 and 442
- LCM of 438 and 443
- LCM of 438 and 444
- LCM of 438 and 445
- LCM of 438 and 446
- LCM of 438 and 447
- LCM of 438 and 448
- LCM of 438 and 449
- LCM of 438 and 450
- LCM of 438 and 451
- LCM of 438 and 452
- LCM of 438 and 453
- LCM of 438 and 454
- LCM of 438 and 455
- LCM of 438 and 456
- LCM of 438 and 457
- LCM of 438 and 458