What is the Least Common Multiple of 407 and 417?
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 407 and 417 is 169719.
LCM(407,417) = 169719
Least Common Multiple of 407 and 417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 407 and 417, than apply into the LCM equation.
GCF(407,417) = 1
LCM(407,417) = ( 407 × 417) / 1
LCM(407,417) = 169719 / 1
LCM(407,417) = 169719
Least Common Multiple (LCM) of 407 and 417 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 407 and 417. First we will calculate the prime factors of 407 and 417.
Prime Factorization of 407
Prime factors of 407 are 11, 37. Prime factorization of 407 in exponential form is:
407 = 111 × 371
Prime Factorization of 417
Prime factors of 417 are 3, 139. Prime factorization of 417 in exponential form is:
417 = 31 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 407 and 417.
LCM(407,417) = 111 × 371 × 31 × 1391
LCM(407,417) = 169719
Related Least Common Multiples of 407
- LCM of 407 and 411
- LCM of 407 and 412
- LCM of 407 and 413
- LCM of 407 and 414
- LCM of 407 and 415
- LCM of 407 and 416
- LCM of 407 and 417
- LCM of 407 and 418
- LCM of 407 and 419
- LCM of 407 and 420
- LCM of 407 and 421
- LCM of 407 and 422
- LCM of 407 and 423
- LCM of 407 and 424
- LCM of 407 and 425
- LCM of 407 and 426
- LCM of 407 and 427
Related Least Common Multiples of 417
- LCM of 417 and 421
- LCM of 417 and 422
- LCM of 417 and 423
- LCM of 417 and 424
- LCM of 417 and 425
- LCM of 417 and 426
- LCM of 417 and 427
- LCM of 417 and 428
- LCM of 417 and 429
- LCM of 417 and 430
- LCM of 417 and 431
- LCM of 417 and 432
- LCM of 417 and 433
- LCM of 417 and 434
- LCM of 417 and 435
- LCM of 417 and 436
- LCM of 417 and 437