What is the Least Common Multiple of 392 and 404?
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 392 and 404 is 39592.
LCM(392,404) = 39592
Least Common Multiple of 392 and 404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 392 and 404, than apply into the LCM equation.
GCF(392,404) = 4
LCM(392,404) = ( 392 × 404) / 4
LCM(392,404) = 158368 / 4
LCM(392,404) = 39592
Least Common Multiple (LCM) of 392 and 404 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 392 and 404. First we will calculate the prime factors of 392 and 404.
Prime Factorization of 392
Prime factors of 392 are 2, 7. Prime factorization of 392 in exponential form is:
392 = 23 × 72
Prime Factorization of 404
Prime factors of 404 are 2, 101. Prime factorization of 404 in exponential form is:
404 = 22 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 392 and 404.
LCM(392,404) = 23 × 72 × 1011
LCM(392,404) = 39592
Related Least Common Multiples of 392
- LCM of 392 and 396
- LCM of 392 and 397
- LCM of 392 and 398
- LCM of 392 and 399
- LCM of 392 and 400
- LCM of 392 and 401
- LCM of 392 and 402
- LCM of 392 and 403
- LCM of 392 and 404
- LCM of 392 and 405
- LCM of 392 and 406
- LCM of 392 and 407
- LCM of 392 and 408
- LCM of 392 and 409
- LCM of 392 and 410
- LCM of 392 and 411
- LCM of 392 and 412
Related Least Common Multiples of 404
- LCM of 404 and 408
- LCM of 404 and 409
- LCM of 404 and 410
- LCM of 404 and 411
- LCM of 404 and 412
- LCM of 404 and 413
- LCM of 404 and 414
- LCM of 404 and 415
- LCM of 404 and 416
- LCM of 404 and 417
- LCM of 404 and 418
- LCM of 404 and 419
- LCM of 404 and 420
- LCM of 404 and 421
- LCM of 404 and 422
- LCM of 404 and 423
- LCM of 404 and 424