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 7348 the smallest integer that is 13483580 that is divisible by both numbers.
Least Common Multiple (LCM) of 7340 and 7348 is 13483580.
LCM(7340,7348) = 13483580
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 7348. First we will calculate the prime factors of 7340 and 7348.
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 7348
2 | 7348 |
2 | 3674 |
11 | 1837 |
167 | 167 |
1 |
Prime factors of 7348 are 2, 11,167. Prime factorization of 7348 in exponential form is:
7348 = 22×111×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 7340 and 7348.
LCM(7340,7348) = 22×51×111×1671×3671
LCM(7340,7348) = 13483580
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 7348
List of positive integer factors of 7348 that divides 7348 without a remainder.
1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7340 and 7348, than apply into the LCM equation.
GCF(7340,7348) = 4
LCM(7340,7348) = ( 7340 × 7348) / 4
LCM(7340,7348) = 53934320 / 4
LCM(7340,7348) = 13483580
(i) The LCM of 7348 and 7340 is associative
LCM of 7340 and 7348 = LCM of 7348 and 7340
1. What is the LCM of 7340 and 7348?
Answer: LCM of 7340 and 7348 is 13483580.
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 7348?
Answer: Factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348. There are 12 integers that are factors of 7348. The greatest factor of 7348 is 7348.
4. How to Find the LCM of 7340 and 7348?
Answer:
Least Common Multiple of 7340 and 7348 = 13483580
Step 1: Find the prime factorization of 7340
7340 = 2 x 2 x 5 x 367
Step 2: Find the prime factorization of 7348
7348 = 2 x 2 x 11 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13483580 = 2 x 2 x 5 x 11 x 167 x 367
Step 4: Therefore, the least common multiple of 7340 and 7348 is 13483580.