What is the Least Common Multiple of 315 and 320?
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 315 and 320 is 20160.
LCM(315,320) = 20160
Least Common Multiple of 315 and 320 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 315 and 320, than apply into the LCM equation.
GCF(315,320) = 5
LCM(315,320) = ( 315 × 320) / 5
LCM(315,320) = 100800 / 5
LCM(315,320) = 20160
Least Common Multiple (LCM) of 315 and 320 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 315 and 320. First we will calculate the prime factors of 315 and 320.
Prime Factorization of 315
Prime factors of 315 are 3, 5, 7. Prime factorization of 315 in exponential form is:
315 = 32 × 51 × 71
Prime Factorization of 320
Prime factors of 320 are 2, 5. Prime factorization of 320 in exponential form is:
320 = 26 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 315 and 320.
LCM(315,320) = 32 × 51 × 71 × 26
LCM(315,320) = 20160
Related Least Common Multiples of 315
- LCM of 315 and 319
- LCM of 315 and 320
- LCM of 315 and 321
- LCM of 315 and 322
- LCM of 315 and 323
- LCM of 315 and 324
- LCM of 315 and 325
- LCM of 315 and 326
- LCM of 315 and 327
- LCM of 315 and 328
- LCM of 315 and 329
- LCM of 315 and 330
- LCM of 315 and 331
- LCM of 315 and 332
- LCM of 315 and 333
- LCM of 315 and 334
- LCM of 315 and 335
Related Least Common Multiples of 320
- LCM of 320 and 324
- LCM of 320 and 325
- LCM of 320 and 326
- LCM of 320 and 327
- LCM of 320 and 328
- LCM of 320 and 329
- LCM of 320 and 330
- LCM of 320 and 331
- LCM of 320 and 332
- LCM of 320 and 333
- LCM of 320 and 334
- LCM of 320 and 335
- LCM of 320 and 336
- LCM of 320 and 337
- LCM of 320 and 338
- LCM of 320 and 339
- LCM of 320 and 340