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 7370 the smallest integer that is 27136340 that is divisible by both numbers.
Least Common Multiple (LCM) of 7364 and 7370 is 27136340.
LCM(7364,7370) = 27136340
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 7370. First we will calculate the prime factors of 7364 and 7370.
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 7370
2 | 7370 |
5 | 3685 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 7370 are 2, 5, 11,67. Prime factorization of 7370 in exponential form is:
7370 = 21×51×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7364 and 7370.
LCM(7364,7370) = 22×51×71×111×671×2631
LCM(7364,7370) = 27136340
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 7370
List of positive integer factors of 7370 that divides 7370 without a remainder.
1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7364 and 7370, than apply into the LCM equation.
GCF(7364,7370) = 2
LCM(7364,7370) = ( 7364 × 7370) / 2
LCM(7364,7370) = 54272680 / 2
LCM(7364,7370) = 27136340
(i) The LCM of 7370 and 7364 is associative
LCM of 7364 and 7370 = LCM of 7370 and 7364
1. What is the LCM of 7364 and 7370?
Answer: LCM of 7364 and 7370 is 27136340.
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 7370?
Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.
4. How to Find the LCM of 7364 and 7370?
Answer:
Least Common Multiple of 7364 and 7370 = 27136340
Step 1: Find the prime factorization of 7364
7364 = 2 x 2 x 7 x 263
Step 2: Find the prime factorization of 7370
7370 = 2 x 5 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27136340 = 2 x 2 x 5 x 7 x 11 x 67 x 263
Step 4: Therefore, the least common multiple of 7364 and 7370 is 27136340.