What is the Least Common Multiple of 17280 and 17292?
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 17280 and 17292 is 24900480.
LCM(17280,17292) = 24900480
Least Common Multiple of 17280 and 17292 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17280 and 17292, than apply into the LCM equation.
GCF(17280,17292) = 12
LCM(17280,17292) = ( 17280 × 17292) / 12
LCM(17280,17292) = 298805760 / 12
LCM(17280,17292) = 24900480
Least Common Multiple (LCM) of 17280 and 17292 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17280 and 17292. First we will calculate the prime factors of 17280 and 17292.
Prime Factorization of 17280
Prime factors of 17280 are 2, 3, 5. Prime factorization of 17280 in exponential form is:
17280 = 27 × 33 × 51
Prime Factorization of 17292
Prime factors of 17292 are 2, 3, 11, 131. Prime factorization of 17292 in exponential form is:
17292 = 22 × 31 × 111 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 17280 and 17292.
LCM(17280,17292) = 27 × 33 × 51 × 111 × 1311
LCM(17280,17292) = 24900480
Related Least Common Multiples of 17280
- LCM of 17280 and 17284
- LCM of 17280 and 17285
- LCM of 17280 and 17286
- LCM of 17280 and 17287
- LCM of 17280 and 17288
- LCM of 17280 and 17289
- LCM of 17280 and 17290
- LCM of 17280 and 17291
- LCM of 17280 and 17292
- LCM of 17280 and 17293
- LCM of 17280 and 17294
- LCM of 17280 and 17295
- LCM of 17280 and 17296
- LCM of 17280 and 17297
- LCM of 17280 and 17298
- LCM of 17280 and 17299
- LCM of 17280 and 17300
Related Least Common Multiples of 17292
- LCM of 17292 and 17296
- LCM of 17292 and 17297
- LCM of 17292 and 17298
- LCM of 17292 and 17299
- LCM of 17292 and 17300
- LCM of 17292 and 17301
- LCM of 17292 and 17302
- LCM of 17292 and 17303
- LCM of 17292 and 17304
- LCM of 17292 and 17305
- LCM of 17292 and 17306
- LCM of 17292 and 17307
- LCM of 17292 and 17308
- LCM of 17292 and 17309
- LCM of 17292 and 17310
- LCM of 17292 and 17311
- LCM of 17292 and 17312