What is the Least Common Multiple of 96288 and 96296?
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 96288 and 96296 is 1159018656.
LCM(96288,96296) = 1159018656
Least Common Multiple of 96288 and 96296 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96288 and 96296, than apply into the LCM equation.
GCF(96288,96296) = 8
LCM(96288,96296) = ( 96288 × 96296) / 8
LCM(96288,96296) = 9272149248 / 8
LCM(96288,96296) = 1159018656
Least Common Multiple (LCM) of 96288 and 96296 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96288 and 96296. First we will calculate the prime factors of 96288 and 96296.
Prime Factorization of 96288
Prime factors of 96288 are 2, 3, 17, 59. Prime factorization of 96288 in exponential form is:
96288 = 25 × 31 × 171 × 591
Prime Factorization of 96296
Prime factors of 96296 are 2, 12037. Prime factorization of 96296 in exponential form is:
96296 = 23 × 120371
Now multiplying the highest exponent prime factors to calculate the LCM of 96288 and 96296.
LCM(96288,96296) = 25 × 31 × 171 × 591 × 120371
LCM(96288,96296) = 1159018656
Related Least Common Multiples of 96288
- LCM of 96288 and 96292
- LCM of 96288 and 96293
- LCM of 96288 and 96294
- LCM of 96288 and 96295
- LCM of 96288 and 96296
- LCM of 96288 and 96297
- LCM of 96288 and 96298
- LCM of 96288 and 96299
- LCM of 96288 and 96300
- LCM of 96288 and 96301
- LCM of 96288 and 96302
- LCM of 96288 and 96303
- LCM of 96288 and 96304
- LCM of 96288 and 96305
- LCM of 96288 and 96306
- LCM of 96288 and 96307
- LCM of 96288 and 96308
Related Least Common Multiples of 96296
- LCM of 96296 and 96300
- LCM of 96296 and 96301
- LCM of 96296 and 96302
- LCM of 96296 and 96303
- LCM of 96296 and 96304
- LCM of 96296 and 96305
- LCM of 96296 and 96306
- LCM of 96296 and 96307
- LCM of 96296 and 96308
- LCM of 96296 and 96309
- LCM of 96296 and 96310
- LCM of 96296 and 96311
- LCM of 96296 and 96312
- LCM of 96296 and 96313
- LCM of 96296 and 96314
- LCM of 96296 and 96315
- LCM of 96296 and 96316