Least Common Multiple of 31402 and 31409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31402 and 31409 the smallest integer that is 140900774 that is divisible by both numbers.
Least Common Multiple (LCM) of 31402 and 31409 is 140900774.
LCM(31402,31409) = 140900774
LCM of 31402 and 31409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31402 and 31409 by Prime method
- Least Common Multiple of 31402 and 31409 with GCF Formula
LCM of 31402 and 31409 is 140900774
Least common multiple can be found by multiplying the highest exponent prime factors of 31402 and 31409. First we will calculate the prime factors of 31402 and 31409.
Prime Factorization of 31402
| 2 | 31402 |
| 7 | 15701 |
| 2243 | 2243 |
| 1 |
Prime factors of 31402 are 2, 7,2243. Prime factorization of 31402 in exponential form is:
31402 = 21×71×22431
Prime Factorization of 31409
| 7 | 31409 |
| 7 | 4487 |
| 641 | 641 |
| 1 |
Prime factors of 31409 are 7,641. Prime factorization of 31409 in exponential form is:
31409 = 72×6411
Now multiplying the highest exponent prime factors to calculate the LCM of 31402 and 31409.
LCM(31402,31409) = 21×72×6411×22431
LCM(31402,31409) = 140900774
Factors of 31402
List of positive integer factors of 31402 that divides 31402 without a remainder.
1, 2, 7, 14, 2243, 4486, 15701, 31402
Factors of 31409
List of positive integer factors of 31409 that divides 31409 without a remainder.
1, 7, 49, 641, 4487, 31409
Least Common Multiple of 31402 and 31409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31402 and 31409, than apply into the LCM equation.
GCF(31402,31409) = 7
LCM(31402,31409) = ( 31402 × 31409) / 7
LCM(31402,31409) = 986305418 / 7
LCM(31402,31409) = 140900774
Properties of LCM 31402 and 31409
(i) The LCM of 31409 and 31402 is associative
LCM of 31402 and 31409 = LCM of 31409 and 31402
Related Least Common Multiples of 31402
Related Least Common Multiples of 31409
Frequently Asked Questions on LCM of 31402 and 31409
1. What is the LCM of 31402 and 31409?
Answer: LCM of 31402 and 31409 is 140900774.
2. What are the Factors of 31402?
Answer: Factors of 31402 are 1, 2, 7, 14, 2243, 4486, 15701, 31402. There are 8 integers that are factors of 31402. The greatest factor of 31402 is 31402.
3. What are the Factors of 31409?
Answer: Factors of 31409 are 1, 7, 49, 641, 4487, 31409. There are 6 integers that are factors of 31409. The greatest factor of 31409 is 31409.
4. How to Find the LCM of 31402 and 31409?
Answer:
Least Common Multiple of 31402 and 31409 = 140900774
Step 1: Find the prime factorization of 31402
31402 = 2 x 7 x 2243
Step 2: Find the prime factorization of 31409
31409 = 7 x 7 x 641
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 140900774 = 2 x 7 x 7 x 641 x 2243
Step 4: Therefore, the least common multiple of 31402 and 31409 is 140900774.