Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6328 and 6335 the smallest integer that is 5726840 that is divisible by both numbers.
Least Common Multiple (LCM) of 6328 and 6335 is 5726840.
LCM(6328,6335) = 5726840
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6328 and 6335. First we will calculate the prime factors of 6328 and 6335.
Prime Factorization of 6328
2 | 6328 |
2 | 3164 |
2 | 1582 |
7 | 791 |
113 | 113 |
1 |
Prime factors of 6328 are 2, 7,113. Prime factorization of 6328 in exponential form is:
6328 = 23×71×1131
Prime Factorization of 6335
5 | 6335 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 6335 are 5, 7,181. Prime factorization of 6335 in exponential form is:
6335 = 51×71×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 6328 and 6335.
LCM(6328,6335) = 23×51×71×1131×1811
LCM(6328,6335) = 5726840
Factors of 6328
List of positive integer factors of 6328 that divides 6328 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328
Factors of 6335
List of positive integer factors of 6335 that divides 6335 without a remainder.
1, 5, 7, 35, 181, 905, 1267, 6335
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6328 and 6335, than apply into the LCM equation.
GCF(6328,6335) = 7
LCM(6328,6335) = ( 6328 × 6335) / 7
LCM(6328,6335) = 40087880 / 7
LCM(6328,6335) = 5726840
(i) The LCM of 6335 and 6328 is associative
LCM of 6328 and 6335 = LCM of 6335 and 6328
1. What is the LCM of 6328 and 6335?
Answer: LCM of 6328 and 6335 is 5726840.
2. What are the Factors of 6328?
Answer: Factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328. There are 16 integers that are factors of 6328. The greatest factor of 6328 is 6328.
3. What are the Factors of 6335?
Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.
4. How to Find the LCM of 6328 and 6335?
Answer:
Least Common Multiple of 6328 and 6335 = 5726840
Step 1: Find the prime factorization of 6328
6328 = 2 x 2 x 2 x 7 x 113
Step 2: Find the prime factorization of 6335
6335 = 5 x 7 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5726840 = 2 x 2 x 2 x 5 x 7 x 113 x 181
Step 4: Therefore, the least common multiple of 6328 and 6335 is 5726840.