Least Common Multiple of 316442 and 316449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 316442 and 316449 the smallest integer that is 14305393494 that is divisible by both numbers.
Least Common Multiple (LCM) of 316442 and 316449 is 14305393494.
LCM(316442,316449) = 14305393494
LCM of 316442 and 316449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 316442 and 316449 by Prime method
- Least Common Multiple of 316442 and 316449 with GCF Formula
LCM of 316442 and 316449 is 14305393494
Least common multiple can be found by multiplying the highest exponent prime factors of 316442 and 316449. First we will calculate the prime factors of 316442 and 316449.
Prime Factorization of 316442
| 2 | 316442 |
| 7 | 158221 |
| 7 | 22603 |
| 3229 | 3229 |
| 1 |
Prime factors of 316442 are 2, 7,3229. Prime factorization of 316442 in exponential form is:
316442 = 21×72×32291
Prime Factorization of 316449
| 3 | 316449 |
| 3 | 105483 |
| 7 | 35161 |
| 5023 | 5023 |
| 1 |
Prime factors of 316449 are 3, 7,5023. Prime factorization of 316449 in exponential form is:
316449 = 32×71×50231
Now multiplying the highest exponent prime factors to calculate the LCM of 316442 and 316449.
LCM(316442,316449) = 21×32×72×32291×50231
LCM(316442,316449) = 14305393494
Factors of 316442
List of positive integer factors of 316442 that divides 316442 without a remainder.
1, 2, 7, 14, 49, 98, 3229, 6458, 22603, 45206, 158221, 316442
Factors of 316449
List of positive integer factors of 316449 that divides 316449 without a remainder.
1, 3, 7, 9, 21, 63, 5023, 15069, 35161, 45207, 105483, 316449
Least Common Multiple of 316442 and 316449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316442 and 316449, than apply into the LCM equation.
GCF(316442,316449) = 7
LCM(316442,316449) = ( 316442 × 316449) / 7
LCM(316442,316449) = 100137754458 / 7
LCM(316442,316449) = 14305393494
Properties of LCM 316442 and 316449
(i) The LCM of 316449 and 316442 is associative
LCM of 316442 and 316449 = LCM of 316449 and 316442
Related Least Common Multiples of 316442
Related Least Common Multiples of 316449
Frequently Asked Questions on LCM of 316442 and 316449
1. What is the LCM of 316442 and 316449?
Answer: LCM of 316442 and 316449 is 14305393494.
2. What are the Factors of 316442?
Answer: Factors of 316442 are 1, 2, 7, 14, 49, 98, 3229, 6458, 22603, 45206, 158221, 316442. There are 12 integers that are factors of 316442. The greatest factor of 316442 is 316442.
3. What are the Factors of 316449?
Answer: Factors of 316449 are 1, 3, 7, 9, 21, 63, 5023, 15069, 35161, 45207, 105483, 316449. There are 12 integers that are factors of 316449. The greatest factor of 316449 is 316449.
4. How to Find the LCM of 316442 and 316449?
Answer:
Least Common Multiple of 316442 and 316449 = 14305393494
Step 1: Find the prime factorization of 316442
316442 = 2 x 7 x 7 x 3229
Step 2: Find the prime factorization of 316449
316449 = 3 x 3 x 7 x 5023
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14305393494 = 2 x 3 x 3 x 7 x 7 x 3229 x 5023
Step 4: Therefore, the least common multiple of 316442 and 316449 is 14305393494.