What is the Least Common Multiple of 17331 and 17337?
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 17331 and 17337 is 100155849.
LCM(17331,17337) = 100155849
Least Common Multiple of 17331 and 17337 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17331 and 17337, than apply into the LCM equation.
GCF(17331,17337) = 3
LCM(17331,17337) = ( 17331 × 17337) / 3
LCM(17331,17337) = 300467547 / 3
LCM(17331,17337) = 100155849
Least Common Multiple (LCM) of 17331 and 17337 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17331 and 17337. First we will calculate the prime factors of 17331 and 17337.
Prime Factorization of 17331
Prime factors of 17331 are 3, 53, 109. Prime factorization of 17331 in exponential form is:
17331 = 31 × 531 × 1091
Prime Factorization of 17337
Prime factors of 17337 are 3, 5779. Prime factorization of 17337 in exponential form is:
17337 = 31 × 57791
Now multiplying the highest exponent prime factors to calculate the LCM of 17331 and 17337.
LCM(17331,17337) = 31 × 531 × 1091 × 57791
LCM(17331,17337) = 100155849
Related Least Common Multiples of 17331
- LCM of 17331 and 17335
- LCM of 17331 and 17336
- LCM of 17331 and 17337
- LCM of 17331 and 17338
- LCM of 17331 and 17339
- LCM of 17331 and 17340
- LCM of 17331 and 17341
- LCM of 17331 and 17342
- LCM of 17331 and 17343
- LCM of 17331 and 17344
- LCM of 17331 and 17345
- LCM of 17331 and 17346
- LCM of 17331 and 17347
- LCM of 17331 and 17348
- LCM of 17331 and 17349
- LCM of 17331 and 17350
- LCM of 17331 and 17351
Related Least Common Multiples of 17337
- LCM of 17337 and 17341
- LCM of 17337 and 17342
- LCM of 17337 and 17343
- LCM of 17337 and 17344
- LCM of 17337 and 17345
- LCM of 17337 and 17346
- LCM of 17337 and 17347
- LCM of 17337 and 17348
- LCM of 17337 and 17349
- LCM of 17337 and 17350
- LCM of 17337 and 17351
- LCM of 17337 and 17352
- LCM of 17337 and 17353
- LCM of 17337 and 17354
- LCM of 17337 and 17355
- LCM of 17337 and 17356
- LCM of 17337 and 17357