What is the Least Common Multiple of 448 and 466?
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 448 and 466 is 104384.
LCM(448,466) = 104384
Least Common Multiple of 448 and 466 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 448 and 466, than apply into the LCM equation.
GCF(448,466) = 2
LCM(448,466) = ( 448 × 466) / 2
LCM(448,466) = 208768 / 2
LCM(448,466) = 104384
Least Common Multiple (LCM) of 448 and 466 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 466. First we will calculate the prime factors of 448 and 466.
Prime Factorization of 448
Prime factors of 448 are 2, 7. Prime factorization of 448 in exponential form is:
448 = 26 × 71
Prime Factorization of 466
Prime factors of 466 are 2, 233. Prime factorization of 466 in exponential form is:
466 = 21 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 448 and 466.
LCM(448,466) = 26 × 71 × 2331
LCM(448,466) = 104384
Related Least Common Multiples of 448
- LCM of 448 and 452
- LCM of 448 and 453
- LCM of 448 and 454
- LCM of 448 and 455
- LCM of 448 and 456
- LCM of 448 and 457
- LCM of 448 and 458
- LCM of 448 and 459
- LCM of 448 and 460
- LCM of 448 and 461
- LCM of 448 and 462
- LCM of 448 and 463
- LCM of 448 and 464
- LCM of 448 and 465
- LCM of 448 and 466
- LCM of 448 and 467
- LCM of 448 and 468
Related Least Common Multiples of 466
- LCM of 466 and 470
- LCM of 466 and 471
- LCM of 466 and 472
- LCM of 466 and 473
- LCM of 466 and 474
- LCM of 466 and 475
- LCM of 466 and 476
- LCM of 466 and 477
- LCM of 466 and 478
- LCM of 466 and 479
- LCM of 466 and 480
- LCM of 466 and 481
- LCM of 466 and 482
- LCM of 466 and 483
- LCM of 466 and 484
- LCM of 466 and 485
- LCM of 466 and 486