Least Common Multiple of 31409 and 31417
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31409 and 31417 the smallest integer that is 986776553 that is divisible by both numbers.
Least Common Multiple (LCM) of 31409 and 31417 is 986776553.
LCM(31409,31417) = 986776553
LCM of 31409 and 31417
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31409 and 31417 by Prime method
- Least Common Multiple of 31409 and 31417 with GCF Formula
LCM of 31409 and 31417 is 986776553
Least common multiple can be found by multiplying the highest exponent prime factors of 31409 and 31417. First we will calculate the prime factors of 31409 and 31417.
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
Prime Factorization of 31417
| 89 | 31417 |
| 353 | 353 |
| 1 |
Prime factors of 31417 are 89,353. Prime factorization of 31417 in exponential form is:
31417 = 891×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 31409 and 31417.
LCM(31409,31417) = 72×891×3531×6411
LCM(31409,31417) = 986776553
Factors of 31409
List of positive integer factors of 31409 that divides 31409 without a remainder.
1, 7, 49, 641, 4487, 31409
Factors of 31417
List of positive integer factors of 31417 that divides 31417 without a remainder.
1, 89, 353, 31417
Least Common Multiple of 31409 and 31417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31409 and 31417, than apply into the LCM equation.
GCF(31409,31417) = 1
LCM(31409,31417) = ( 31409 × 31417) / 1
LCM(31409,31417) = 986776553 / 1
LCM(31409,31417) = 986776553
Properties of LCM 31409 and 31417
(i) The LCM of 31417 and 31409 is associative
LCM of 31409 and 31417 = LCM of 31417 and 31409
Related Least Common Multiples of 31409
Related Least Common Multiples of 31417
Frequently Asked Questions on LCM of 31409 and 31417
1. What is the LCM of 31409 and 31417?
Answer: LCM of 31409 and 31417 is 986776553.
2. 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.
3. What are the Factors of 31417?
Answer: Factors of 31417 are 1, 89, 353, 31417. There are 4 integers that are factors of 31417. The greatest factor of 31417 is 31417.
4. How to Find the LCM of 31409 and 31417?
Answer:
Least Common Multiple of 31409 and 31417 = 986776553
Step 1: Find the prime factorization of 31409
31409 = 7 x 7 x 641
Step 2: Find the prime factorization of 31417
31417 = 89 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 986776553 = 7 x 7 x 89 x 353 x 641
Step 4: Therefore, the least common multiple of 31409 and 31417 is 986776553.