Least Common Multiple of 6342 and 6349
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6342 and 6349 the smallest integer that is 5752194 that is divisible by both numbers.
Least Common Multiple (LCM) of 6342 and 6349 is 5752194.
LCM(6342,6349) = 5752194
LCM of 6342 and 6349
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6342 and 6349 by Prime method
- Least Common Multiple of 6342 and 6349 with GCF Formula
LCM of 6342 and 6349 is 5752194
Least common multiple can be found by multiplying the highest exponent prime factors of 6342 and 6349. First we will calculate the prime factors of 6342 and 6349.
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
Prime Factorization of 6349
| 7 | 6349 |
| 907 | 907 |
| 1 |
Prime factors of 6349 are 7,907. Prime factorization of 6349 in exponential form is:
6349 = 71×9071
Now multiplying the highest exponent prime factors to calculate the LCM of 6342 and 6349.
LCM(6342,6349) = 21×31×71×1511×9071
LCM(6342,6349) = 5752194
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
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1, 7, 907, 6349
Least Common Multiple of 6342 and 6349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6342 and 6349, than apply into the LCM equation.
GCF(6342,6349) = 7
LCM(6342,6349) = ( 6342 × 6349) / 7
LCM(6342,6349) = 40265358 / 7
LCM(6342,6349) = 5752194
Properties of LCM 6342 and 6349
(i) The LCM of 6349 and 6342 is associative
LCM of 6342 and 6349 = LCM of 6349 and 6342
Related Least Common Multiples of 6342
Related Least Common Multiples of 6349
Frequently Asked Questions on LCM of 6342 and 6349
1. What is the LCM of 6342 and 6349?
Answer: LCM of 6342 and 6349 is 5752194.
2. 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.
3. What are the Factors of 6349?
Answer: Factors of 6349 are 1, 7, 907, 6349. There are 4 integers that are factors of 6349. The greatest factor of 6349 is 6349.
4. How to Find the LCM of 6342 and 6349?
Answer:
Least Common Multiple of 6342 and 6349 = 5752194
Step 1: Find the prime factorization of 6342
6342 = 2 x 3 x 7 x 151
Step 2: Find the prime factorization of 6349
6349 = 7 x 907
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5752194 = 2 x 3 x 7 x 151 x 907
Step 4: Therefore, the least common multiple of 6342 and 6349 is 5752194.