Least Common Multiple of 6335 and 6342
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6335 and 6342 the smallest integer that is 5739510 that is divisible by both numbers.
Least Common Multiple (LCM) of 6335 and 6342 is 5739510.
LCM(6335,6342) = 5739510
LCM of 6335 and 6342
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6335 and 6342 by Prime method
- Least Common Multiple of 6335 and 6342 with GCF Formula
LCM of 6335 and 6342 is 5739510
Least common multiple can be found by multiplying the highest exponent prime factors of 6335 and 6342. First we will calculate the prime factors of 6335 and 6342.
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
Prime Factorization of 6342
| 2 | 6342 |
| 3 | 3171 |
| 7 | 1057 |
| 151 | 151 |
| 1 |
Prime factors of 6342 are 2, 3, 7,151. Prime factorization of 6342 in exponential form is:
6342 = 21×31×71×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 6335 and 6342.
LCM(6335,6342) = 21×31×51×71×1511×1811
LCM(6335,6342) = 5739510
Factors of 6335
List of positive integer factors of 6335 that divides 6335 without a remainder.
1, 5, 7, 35, 181, 905, 1267, 6335
Factors of 6342
List of positive integer factors of 6342 that divides 6342 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342
Least Common Multiple of 6335 and 6342 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6335 and 6342, than apply into the LCM equation.
GCF(6335,6342) = 7
LCM(6335,6342) = ( 6335 × 6342) / 7
LCM(6335,6342) = 40176570 / 7
LCM(6335,6342) = 5739510
Properties of LCM 6335 and 6342
(i) The LCM of 6342 and 6335 is associative
LCM of 6335 and 6342 = LCM of 6342 and 6335
Related Least Common Multiples of 6335
Related Least Common Multiples of 6342
Frequently Asked Questions on LCM of 6335 and 6342
1. What is the LCM of 6335 and 6342?
Answer: LCM of 6335 and 6342 is 5739510.
2. 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.
3. What are the Factors of 6342?
Answer: Factors of 6342 are 1, 2, 3, 6, 7, 14, 21, 42, 151, 302, 453, 906, 1057, 2114, 3171, 6342. There are 16 integers that are factors of 6342. The greatest factor of 6342 is 6342.
4. How to Find the LCM of 6335 and 6342?
Answer:
Least Common Multiple of 6335 and 6342 = 5739510
Step 1: Find the prime factorization of 6335
6335 = 5 x 7 x 181
Step 2: Find the prime factorization of 6342
6342 = 2 x 3 x 7 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5739510 = 2 x 3 x 5 x 7 x 151 x 181
Step 4: Therefore, the least common multiple of 6335 and 6342 is 5739510.