Least Common Multiple of 7319 and 7326
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7319 and 7326 the smallest integer that is 53618994 that is divisible by both numbers.
Least Common Multiple (LCM) of 7319 and 7326 is 53618994.
LCM(7319,7326) = 53618994
LCM of 7319 and 7326
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7319 and 7326 by Prime method
- Least Common Multiple of 7319 and 7326 with GCF Formula
LCM of 7319 and 7326 is 53618994
Least common multiple can be found by multiplying the highest exponent prime factors of 7319 and 7326. First we will calculate the prime factors of 7319 and 7326.
Prime Factorization of 7319
| 13 | 7319 |
| 563 | 563 |
| 1 |
Prime factors of 7319 are 13,563. Prime factorization of 7319 in exponential form is:
7319 = 131×5631
Prime Factorization of 7326
| 2 | 7326 |
| 3 | 3663 |
| 3 | 1221 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 7326 are 2, 3, 11,37. Prime factorization of 7326 in exponential form is:
7326 = 21×32×111×371
Now multiplying the highest exponent prime factors to calculate the LCM of 7319 and 7326.
LCM(7319,7326) = 21×32×111×131×371×5631
LCM(7319,7326) = 53618994
Factors of 7319
List of positive integer factors of 7319 that divides 7319 without a remainder.
1, 13, 563, 7319
Factors of 7326
List of positive integer factors of 7326 that divides 7326 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
Least Common Multiple of 7319 and 7326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7319 and 7326, than apply into the LCM equation.
GCF(7319,7326) = 1
LCM(7319,7326) = ( 7319 × 7326) / 1
LCM(7319,7326) = 53618994 / 1
LCM(7319,7326) = 53618994
Properties of LCM 7319 and 7326
(i) The LCM of 7326 and 7319 is associative
LCM of 7319 and 7326 = LCM of 7326 and 7319
Related Least Common Multiples of 7319
Related Least Common Multiples of 7326
Frequently Asked Questions on LCM of 7319 and 7326
1. What is the LCM of 7319 and 7326?
Answer: LCM of 7319 and 7326 is 53618994.
2. What are the Factors of 7319?
Answer: Factors of 7319 are 1, 13, 563, 7319. There are 4 integers that are factors of 7319. The greatest factor of 7319 is 7319.
3. What are the Factors of 7326?
Answer: Factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326. There are 24 integers that are factors of 7326. The greatest factor of 7326 is 7326.
4. How to Find the LCM of 7319 and 7326?
Answer:
Least Common Multiple of 7319 and 7326 = 53618994
Step 1: Find the prime factorization of 7319
7319 = 13 x 563
Step 2: Find the prime factorization of 7326
7326 = 2 x 3 x 3 x 11 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53618994 = 2 x 3 x 3 x 11 x 13 x 37 x 563
Step 4: Therefore, the least common multiple of 7319 and 7326 is 53618994.