Least Common Multiple of 7370 and 7377
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7370 and 7377 the smallest integer that is 54368490 that is divisible by both numbers.
Least Common Multiple (LCM) of 7370 and 7377 is 54368490.
LCM(7370,7377) = 54368490
LCM of 7370 and 7377
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7370 and 7377 by Prime method
- Least Common Multiple of 7370 and 7377 with GCF Formula
LCM of 7370 and 7377 is 54368490
Least common multiple can be found by multiplying the highest exponent prime factors of 7370 and 7377. First we will calculate the prime factors of 7370 and 7377.
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
Prime Factorization of 7377
| 3 | 7377 |
| 2459 | 2459 |
| 1 |
Prime factors of 7377 are 3,2459. Prime factorization of 7377 in exponential form is:
7377 = 31×24591
Now multiplying the highest exponent prime factors to calculate the LCM of 7370 and 7377.
LCM(7370,7377) = 21×31×51×111×671×24591
LCM(7370,7377) = 54368490
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
Factors of 7377
List of positive integer factors of 7377 that divides 7377 without a remainder.
1, 3, 2459, 7377
Least Common Multiple of 7370 and 7377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7370 and 7377, than apply into the LCM equation.
GCF(7370,7377) = 1
LCM(7370,7377) = ( 7370 × 7377) / 1
LCM(7370,7377) = 54368490 / 1
LCM(7370,7377) = 54368490
Properties of LCM 7370 and 7377
(i) The LCM of 7377 and 7370 is associative
LCM of 7370 and 7377 = LCM of 7377 and 7370
Related Least Common Multiples of 7370
Related Least Common Multiples of 7377
Frequently Asked Questions on LCM of 7370 and 7377
1. What is the LCM of 7370 and 7377?
Answer: LCM of 7370 and 7377 is 54368490.
2. 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.
3. What are the Factors of 7377?
Answer: Factors of 7377 are 1, 3, 2459, 7377. There are 4 integers that are factors of 7377. The greatest factor of 7377 is 7377.
4. How to Find the LCM of 7370 and 7377?
Answer:
Least Common Multiple of 7370 and 7377 = 54368490
Step 1: Find the prime factorization of 7370
7370 = 2 x 5 x 11 x 67
Step 2: Find the prime factorization of 7377
7377 = 3 x 2459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54368490 = 2 x 3 x 5 x 11 x 67 x 2459
Step 4: Therefore, the least common multiple of 7370 and 7377 is 54368490.