What is the Least Common Multiple of 416 and 433?
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 416 and 433 is 180128.
LCM(416,433) = 180128
Least Common Multiple of 416 and 433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 416 and 433, than apply into the LCM equation.
GCF(416,433) = 1
LCM(416,433) = ( 416 × 433) / 1
LCM(416,433) = 180128 / 1
LCM(416,433) = 180128
Least Common Multiple (LCM) of 416 and 433 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 416 and 433. First we will calculate the prime factors of 416 and 433.
Prime Factorization of 416
Prime factors of 416 are 2, 13. Prime factorization of 416 in exponential form is:
416 = 25 × 131
Prime Factorization of 433
Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:
433 = 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 416 and 433.
LCM(416,433) = 25 × 131 × 4331
LCM(416,433) = 180128
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
Related Least Common Multiples of 433
- LCM of 433 and 437
- LCM of 433 and 438
- LCM of 433 and 439
- LCM of 433 and 440
- LCM of 433 and 441
- LCM of 433 and 442
- LCM of 433 and 443
- LCM of 433 and 444
- LCM of 433 and 445
- LCM of 433 and 446
- LCM of 433 and 447
- LCM of 433 and 448
- LCM of 433 and 449
- LCM of 433 and 450
- LCM of 433 and 451
- LCM of 433 and 452
- LCM of 433 and 453