Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7340 and 7347 the smallest integer that is 53926980 that is divisible by both numbers.
Least Common Multiple (LCM) of 7340 and 7347 is 53926980.
LCM(7340,7347) = 53926980
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 7340 and 7347. First we will calculate the prime factors of 7340 and 7347.
Prime Factorization of 7340
2 | 7340 |
2 | 3670 |
5 | 1835 |
367 | 367 |
1 |
Prime factors of 7340 are 2, 5,367. Prime factorization of 7340 in exponential form is:
7340 = 22×51×3671
Prime Factorization of 7347
3 | 7347 |
31 | 2449 |
79 | 79 |
1 |
Prime factors of 7347 are 3, 31,79. Prime factorization of 7347 in exponential form is:
7347 = 31×311×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7347.
LCM(7340,7347) = 22×31×51×311×791×3671
LCM(7340,7347) = 53926980
Factors of 7340
List of positive integer factors of 7340 that divides 7340 without a remainder.
1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340
Factors of 7347
List of positive integer factors of 7347 that divides 7347 without a remainder.
1, 3, 31, 79, 93, 237, 2449, 7347
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7340 and 7347, than apply into the LCM equation.
GCF(7340,7347) = 1
LCM(7340,7347) = ( 7340 × 7347) / 1
LCM(7340,7347) = 53926980 / 1
LCM(7340,7347) = 53926980
(i) The LCM of 7347 and 7340 is associative
LCM of 7340 and 7347 = LCM of 7347 and 7340
1. What is the LCM of 7340 and 7347?
Answer: LCM of 7340 and 7347 is 53926980.
2. What are the Factors of 7340?
Answer: Factors of 7340 are 1, 2, 4, 5, 10, 20, 367, 734, 1468, 1835, 3670, 7340. There are 12 integers that are factors of 7340. The greatest factor of 7340 is 7340.
3. What are the Factors of 7347?
Answer: Factors of 7347 are 1, 3, 31, 79, 93, 237, 2449, 7347. There are 8 integers that are factors of 7347. The greatest factor of 7347 is 7347.
4. How to Find the LCM of 7340 and 7347?
Answer:
Least Common Multiple of 7340 and 7347 = 53926980
Step 1: Find the prime factorization of 7340
7340 = 2 x 2 x 5 x 367
Step 2: Find the prime factorization of 7347
7347 = 3 x 31 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53926980 = 2 x 2 x 3 x 5 x 31 x 79 x 367
Step 4: Therefore, the least common multiple of 7340 and 7347 is 53926980.