What is the Least Common Multiple of 403 and 416?
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 403 and 416 is 12896.
LCM(403,416) = 12896
Least Common Multiple of 403 and 416 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 403 and 416, than apply into the LCM equation.
GCF(403,416) = 13
LCM(403,416) = ( 403 × 416) / 13
LCM(403,416) = 167648 / 13
LCM(403,416) = 12896
Least Common Multiple (LCM) of 403 and 416 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 403 and 416. First we will calculate the prime factors of 403 and 416.
Prime Factorization of 403
Prime factors of 403 are 13, 31. Prime factorization of 403 in exponential form is:
403 = 131 × 311
Prime Factorization of 416
Prime factors of 416 are 2, 13. Prime factorization of 416 in exponential form is:
416 = 25 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 403 and 416.
LCM(403,416) = 131 × 311 × 25
LCM(403,416) = 12896
Related Least Common Multiples of 403
- LCM of 403 and 407
- LCM of 403 and 408
- LCM of 403 and 409
- LCM of 403 and 410
- LCM of 403 and 411
- LCM of 403 and 412
- LCM of 403 and 413
- LCM of 403 and 414
- LCM of 403 and 415
- LCM of 403 and 416
- LCM of 403 and 417
- LCM of 403 and 418
- LCM of 403 and 419
- LCM of 403 and 420
- LCM of 403 and 421
- LCM of 403 and 422
- LCM of 403 and 423
Related Least Common Multiples of 416
- LCM of 416 and 420
- LCM of 416 and 421
- LCM of 416 and 422
- LCM of 416 and 423
- LCM of 416 and 424
- LCM of 416 and 425
- LCM of 416 and 426
- LCM of 416 and 427
- LCM of 416 and 428
- LCM of 416 and 429
- LCM of 416 and 430
- LCM of 416 and 431
- LCM of 416 and 432
- LCM of 416 and 433
- LCM of 416 and 434
- LCM of 416 and 435
- LCM of 416 and 436