What is the Least Common Multiple of 397 and 407?
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 397 and 407 is 161579.
LCM(397,407) = 161579
Least Common Multiple of 397 and 407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 397 and 407, than apply into the LCM equation.
GCF(397,407) = 1
LCM(397,407) = ( 397 × 407) / 1
LCM(397,407) = 161579 / 1
LCM(397,407) = 161579
Least Common Multiple (LCM) of 397 and 407 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 397 and 407. First we will calculate the prime factors of 397 and 407.
Prime Factorization of 397
Prime factors of 397 are 397. Prime factorization of 397 in exponential form is:
397 = 3971
Prime Factorization of 407
Prime factors of 407 are 11, 37. Prime factorization of 407 in exponential form is:
407 = 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 397 and 407.
LCM(397,407) = 3971 × 111 × 371
LCM(397,407) = 161579
Related Least Common Multiples of 397
- LCM of 397 and 401
- LCM of 397 and 402
- LCM of 397 and 403
- LCM of 397 and 404
- LCM of 397 and 405
- LCM of 397 and 406
- LCM of 397 and 407
- LCM of 397 and 408
- LCM of 397 and 409
- LCM of 397 and 410
- LCM of 397 and 411
- LCM of 397 and 412
- LCM of 397 and 413
- LCM of 397 and 414
- LCM of 397 and 415
- LCM of 397 and 416
- LCM of 397 and 417
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