Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7364 and 7368 the smallest integer that is 13564488 that is divisible by both numbers.
Least Common Multiple (LCM) of 7364 and 7368 is 13564488.
LCM(7364,7368) = 13564488
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 7364 and 7368. First we will calculate the prime factors of 7364 and 7368.
Prime Factorization of 7364
2 | 7364 |
2 | 3682 |
7 | 1841 |
263 | 263 |
1 |
Prime factors of 7364 are 2, 7,263. Prime factorization of 7364 in exponential form is:
7364 = 22×71×2631
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 7364 and 7368.
LCM(7364,7368) = 23×31×71×2631×3071
LCM(7364,7368) = 13564488
Factors of 7364
List of positive integer factors of 7364 that divides 7364 without a remainder.
1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364
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 7364 and 7368, than apply into the LCM equation.
GCF(7364,7368) = 4
LCM(7364,7368) = ( 7364 × 7368) / 4
LCM(7364,7368) = 54257952 / 4
LCM(7364,7368) = 13564488
(i) The LCM of 7368 and 7364 is associative
LCM of 7364 and 7368 = LCM of 7368 and 7364
1. What is the LCM of 7364 and 7368?
Answer: LCM of 7364 and 7368 is 13564488.
2. What are the Factors of 7364?
Answer: Factors of 7364 are 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364. There are 12 integers that are factors of 7364. The greatest factor of 7364 is 7364.
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 7364 and 7368?
Answer:
Least Common Multiple of 7364 and 7368 = 13564488
Step 1: Find the prime factorization of 7364
7364 = 2 x 2 x 7 x 263
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 = 13564488 = 2 x 2 x 2 x 3 x 7 x 263 x 307
Step 4: Therefore, the least common multiple of 7364 and 7368 is 13564488.