What is the Least Common Multiple of 400 and 413?
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 400 and 413 is 165200.
LCM(400,413) = 165200
Least Common Multiple of 400 and 413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 400 and 413, than apply into the LCM equation.
GCF(400,413) = 1
LCM(400,413) = ( 400 × 413) / 1
LCM(400,413) = 165200 / 1
LCM(400,413) = 165200
Least Common Multiple (LCM) of 400 and 413 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 400 and 413. First we will calculate the prime factors of 400 and 413.
Prime Factorization of 400
Prime factors of 400 are 2, 5. Prime factorization of 400 in exponential form is:
400 = 24 × 52
Prime Factorization of 413
Prime factors of 413 are 7, 59. Prime factorization of 413 in exponential form is:
413 = 71 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 400 and 413.
LCM(400,413) = 24 × 52 × 71 × 591
LCM(400,413) = 165200
Related Least Common Multiples of 400
- LCM of 400 and 404
- LCM of 400 and 405
- LCM of 400 and 406
- LCM of 400 and 407
- LCM of 400 and 408
- LCM of 400 and 409
- LCM of 400 and 410
- LCM of 400 and 411
- LCM of 400 and 412
- LCM of 400 and 413
- LCM of 400 and 414
- LCM of 400 and 415
- LCM of 400 and 416
- LCM of 400 and 417
- LCM of 400 and 418
- LCM of 400 and 419
- LCM of 400 and 420
Related Least Common Multiples of 413
- LCM of 413 and 417
- LCM of 413 and 418
- LCM of 413 and 419
- LCM of 413 and 420
- LCM of 413 and 421
- LCM of 413 and 422
- LCM of 413 and 423
- LCM of 413 and 424
- LCM of 413 and 425
- LCM of 413 and 426
- LCM of 413 and 427
- LCM of 413 and 428
- LCM of 413 and 429
- LCM of 413 and 430
- LCM of 413 and 431
- LCM of 413 and 432
- LCM of 413 and 433