What is the Least Common Multiple of 17231 and 17240?
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 17231 and 17240 is 297062440.
LCM(17231,17240) = 297062440
Least Common Multiple of 17231 and 17240 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17231 and 17240, than apply into the LCM equation.
GCF(17231,17240) = 1
LCM(17231,17240) = ( 17231 × 17240) / 1
LCM(17231,17240) = 297062440 / 1
LCM(17231,17240) = 297062440
Least Common Multiple (LCM) of 17231 and 17240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17231 and 17240. First we will calculate the prime factors of 17231 and 17240.
Prime Factorization of 17231
Prime factors of 17231 are 17231. Prime factorization of 17231 in exponential form is:
17231 = 172311
Prime Factorization of 17240
Prime factors of 17240 are 2, 5, 431. Prime factorization of 17240 in exponential form is:
17240 = 23 × 51 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 17231 and 17240.
LCM(17231,17240) = 172311 × 23 × 51 × 4311
LCM(17231,17240) = 297062440
Related Least Common Multiples of 17231
- LCM of 17231 and 17235
- LCM of 17231 and 17236
- LCM of 17231 and 17237
- LCM of 17231 and 17238
- LCM of 17231 and 17239
- LCM of 17231 and 17240
- LCM of 17231 and 17241
- LCM of 17231 and 17242
- LCM of 17231 and 17243
- LCM of 17231 and 17244
- LCM of 17231 and 17245
- LCM of 17231 and 17246
- LCM of 17231 and 17247
- LCM of 17231 and 17248
- LCM of 17231 and 17249
- LCM of 17231 and 17250
- LCM of 17231 and 17251
Related Least Common Multiples of 17240
- LCM of 17240 and 17244
- LCM of 17240 and 17245
- LCM of 17240 and 17246
- LCM of 17240 and 17247
- LCM of 17240 and 17248
- LCM of 17240 and 17249
- LCM of 17240 and 17250
- LCM of 17240 and 17251
- LCM of 17240 and 17252
- LCM of 17240 and 17253
- LCM of 17240 and 17254
- LCM of 17240 and 17255
- LCM of 17240 and 17256
- LCM of 17240 and 17257
- LCM of 17240 and 17258
- LCM of 17240 and 17259
- LCM of 17240 and 17260