What is the Least Common Multiple of 5291 and 5296?
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 5291 and 5296 is 28021136.
LCM(5291,5296) = 28021136
Least Common Multiple of 5291 and 5296 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5291 and 5296, than apply into the LCM equation.
GCF(5291,5296) = 1
LCM(5291,5296) = ( 5291 × 5296) / 1
LCM(5291,5296) = 28021136 / 1
LCM(5291,5296) = 28021136
Least Common Multiple (LCM) of 5291 and 5296 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5291 and 5296. First we will calculate the prime factors of 5291 and 5296.
Prime Factorization of 5291
Prime factors of 5291 are 11, 13, 37. Prime factorization of 5291 in exponential form is:
5291 = 111 × 131 × 371
Prime Factorization of 5296
Prime factors of 5296 are 2, 331. Prime factorization of 5296 in exponential form is:
5296 = 24 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 5291 and 5296.
LCM(5291,5296) = 111 × 131 × 371 × 24 × 3311
LCM(5291,5296) = 28021136
Related Least Common Multiples of 5291
- LCM of 5291 and 5295
- LCM of 5291 and 5296
- LCM of 5291 and 5297
- LCM of 5291 and 5298
- LCM of 5291 and 5299
- LCM of 5291 and 5300
- LCM of 5291 and 5301
- LCM of 5291 and 5302
- LCM of 5291 and 5303
- LCM of 5291 and 5304
- LCM of 5291 and 5305
- LCM of 5291 and 5306
- LCM of 5291 and 5307
- LCM of 5291 and 5308
- LCM of 5291 and 5309
- LCM of 5291 and 5310
- LCM of 5291 and 5311
Related Least Common Multiples of 5296
- LCM of 5296 and 5300
- LCM of 5296 and 5301
- LCM of 5296 and 5302
- LCM of 5296 and 5303
- LCM of 5296 and 5304
- LCM of 5296 and 5305
- LCM of 5296 and 5306
- LCM of 5296 and 5307
- LCM of 5296 and 5308
- LCM of 5296 and 5309
- LCM of 5296 and 5310
- LCM of 5296 and 5311
- LCM of 5296 and 5312
- LCM of 5296 and 5313
- LCM of 5296 and 5314
- LCM of 5296 and 5315
- LCM of 5296 and 5316