Least Common Multiple of 9479 and 9486
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9479 and 9486 the smallest integer that is 89917794 that is divisible by both numbers.
Least Common Multiple (LCM) of 9479 and 9486 is 89917794.
LCM(9479,9486) = 89917794
LCM of 9479 and 9486
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9479 and 9486 by Prime method
- Least Common Multiple of 9479 and 9486 with GCF Formula
LCM of 9479 and 9486 is 89917794
Least common multiple can be found by multiplying the highest exponent prime factors of 9479 and 9486. First we will calculate the prime factors of 9479 and 9486.
Prime Factorization of 9479
| 9479 | 9479 |
| 1 |
Prime factors of 9479 are 9479. Prime factorization of 9479 in exponential form is:
9479 = 94791
Prime Factorization of 9486
| 2 | 9486 |
| 3 | 4743 |
| 3 | 1581 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 9486 are 2, 3, 17,31. Prime factorization of 9486 in exponential form is:
9486 = 21×32×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 9479 and 9486.
LCM(9479,9486) = 21×32×171×311×94791
LCM(9479,9486) = 89917794
Factors of 9479
List of positive integer factors of 9479 that divides 9479 without a remainder.
1, 9479
Factors of 9486
List of positive integer factors of 9486 that divides 9486 without a remainder.
1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486
Least Common Multiple of 9479 and 9486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9479 and 9486, than apply into the LCM equation.
GCF(9479,9486) = 1
LCM(9479,9486) = ( 9479 × 9486) / 1
LCM(9479,9486) = 89917794 / 1
LCM(9479,9486) = 89917794
Properties of LCM 9479 and 9486
(i) The LCM of 9486 and 9479 is associative
LCM of 9479 and 9486 = LCM of 9486 and 9479
Related Least Common Multiples of 9479
Related Least Common Multiples of 9486
Frequently Asked Questions on LCM of 9479 and 9486
1. What is the LCM of 9479 and 9486?
Answer: LCM of 9479 and 9486 is 89917794.
2. What are the Factors of 9479?
Answer: Factors of 9479 are 1, 9479. There are 2 integers that are factors of 9479. The greatest factor of 9479 is 9479.
3. What are the Factors of 9486?
Answer: Factors of 9486 are 1, 2, 3, 6, 9, 17, 18, 31, 34, 51, 62, 93, 102, 153, 186, 279, 306, 527, 558, 1054, 1581, 3162, 4743, 9486. There are 24 integers that are factors of 9486. The greatest factor of 9486 is 9486.
4. How to Find the LCM of 9479 and 9486?
Answer:
Least Common Multiple of 9479 and 9486 = 89917794
Step 1: Find the prime factorization of 9479
9479 = 9479
Step 2: Find the prime factorization of 9486
9486 = 2 x 3 x 3 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89917794 = 2 x 3 x 3 x 17 x 31 x 9479
Step 4: Therefore, the least common multiple of 9479 and 9486 is 89917794.