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 7372 the smallest integer that is 13571852 that is divisible by both numbers.
Least Common Multiple (LCM) of 7364 and 7372 is 13571852.
LCM(7364,7372) = 13571852
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 7372. First we will calculate the prime factors of 7364 and 7372.
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 7372
2 | 7372 |
2 | 3686 |
19 | 1843 |
97 | 97 |
1 |
Prime factors of 7372 are 2, 19,97. Prime factorization of 7372 in exponential form is:
7372 = 22×191×971
Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7372.
LCM(7364,7372) = 22×71×191×971×2631
LCM(7364,7372) = 13571852
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 7372
List of positive integer factors of 7372 that divides 7372 without a remainder.
1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7372, than apply into the LCM equation.
GCF(7364,7372) = 4
LCM(7364,7372) = ( 7364 × 7372) / 4
LCM(7364,7372) = 54287408 / 4
LCM(7364,7372) = 13571852
(i) The LCM of 7372 and 7364 is associative
LCM of 7364 and 7372 = LCM of 7372 and 7364
1. What is the LCM of 7364 and 7372?
Answer: LCM of 7364 and 7372 is 13571852.
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 7372?
Answer: Factors of 7372 are 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843, 3686, 7372. There are 12 integers that are factors of 7372. The greatest factor of 7372 is 7372.
4. How to Find the LCM of 7364 and 7372?
Answer:
Least Common Multiple of 7364 and 7372 = 13571852
Step 1: Find the prime factorization of 7364
7364 = 2 x 2 x 7 x 263
Step 2: Find the prime factorization of 7372
7372 = 2 x 2 x 19 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13571852 = 2 x 2 x 7 x 19 x 97 x 263
Step 4: Therefore, the least common multiple of 7364 and 7372 is 13571852.