Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7360 and 7368 the smallest integer that is 6778560 that is divisible by both numbers.
Least Common Multiple (LCM) of 7360 and 7368 is 6778560.
LCM(7360,7368) = 6778560
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7360 and 7368. First we will calculate the prime factors of 7360 and 7368.
Prime Factorization of 7360
2 | 7360 |
2 | 3680 |
2 | 1840 |
2 | 920 |
2 | 460 |
2 | 230 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 7360 are 2, 5,23. Prime factorization of 7360 in exponential form is:
7360 = 26×51×231
Prime Factorization of 7368
2 | 7368 |
2 | 3684 |
2 | 1842 |
3 | 921 |
307 | 307 |
1 |
Prime factors of 7368 are 2, 3,307. Prime factorization of 7368 in exponential form is:
7368 = 23×31×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 7360 and 7368.
LCM(7360,7368) = 26×31×51×231×3071
LCM(7360,7368) = 6778560
Factors of 7360
List of positive integer factors of 7360 that divides 7360 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
Factors of 7368
List of positive integer factors of 7368 that divides 7368 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7360 and 7368, than apply into the LCM equation.
GCF(7360,7368) = 8
LCM(7360,7368) = ( 7360 × 7368) / 8
LCM(7360,7368) = 54228480 / 8
LCM(7360,7368) = 6778560
(i) The LCM of 7368 and 7360 is associative
LCM of 7360 and 7368 = LCM of 7368 and 7360
1. What is the LCM of 7360 and 7368?
Answer: LCM of 7360 and 7368 is 6778560.
2. What are the Factors of 7360?
Answer: Factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360. There are 28 integers that are factors of 7360. The greatest factor of 7360 is 7360.
3. What are the Factors of 7368?
Answer: Factors of 7368 are 1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684, 7368. There are 16 integers that are factors of 7368. The greatest factor of 7368 is 7368.
4. How to Find the LCM of 7360 and 7368?
Answer:
Least Common Multiple of 7360 and 7368 = 6778560
Step 1: Find the prime factorization of 7360
7360 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 23
Step 2: Find the prime factorization of 7368
7368 = 2 x 2 x 2 x 3 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6778560 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 307
Step 4: Therefore, the least common multiple of 7360 and 7368 is 6778560.