What is the Least Common Multiple of 402 and 409?
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 402 and 409 is 164418.
LCM(402,409) = 164418
Least Common Multiple of 402 and 409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 402 and 409, than apply into the LCM equation.
GCF(402,409) = 1
LCM(402,409) = ( 402 × 409) / 1
LCM(402,409) = 164418 / 1
LCM(402,409) = 164418
Least Common Multiple (LCM) of 402 and 409 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 402 and 409. First we will calculate the prime factors of 402 and 409.
Prime Factorization of 402
Prime factors of 402 are 2, 3, 67. Prime factorization of 402 in exponential form is:
402 = 21 × 31 × 671
Prime Factorization of 409
Prime factors of 409 are 409. Prime factorization of 409 in exponential form is:
409 = 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 402 and 409.
LCM(402,409) = 21 × 31 × 671 × 4091
LCM(402,409) = 164418
Related Least Common Multiples of 402
- LCM of 402 and 406
- LCM of 402 and 407
- LCM of 402 and 408
- LCM of 402 and 409
- LCM of 402 and 410
- LCM of 402 and 411
- LCM of 402 and 412
- LCM of 402 and 413
- LCM of 402 and 414
- LCM of 402 and 415
- LCM of 402 and 416
- LCM of 402 and 417
- LCM of 402 and 418
- LCM of 402 and 419
- LCM of 402 and 420
- LCM of 402 and 421
- LCM of 402 and 422
Related Least Common Multiples of 409
- LCM of 409 and 413
- LCM of 409 and 414
- LCM of 409 and 415
- LCM of 409 and 416
- LCM of 409 and 417
- LCM of 409 and 418
- LCM of 409 and 419
- LCM of 409 and 420
- LCM of 409 and 421
- LCM of 409 and 422
- LCM of 409 and 423
- LCM of 409 and 424
- LCM of 409 and 425
- LCM of 409 and 426
- LCM of 409 and 427
- LCM of 409 and 428
- LCM of 409 and 429