Least Common Multiple of 7430 and 7437
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7430 and 7437 the smallest integer that is 55256910 that is divisible by both numbers.
Least Common Multiple (LCM) of 7430 and 7437 is 55256910.
LCM(7430,7437) = 55256910
LCM of 7430 and 7437
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7430 and 7437 by Prime method
- Least Common Multiple of 7430 and 7437 with GCF Formula
LCM of 7430 and 7437 is 55256910
Least common multiple can be found by multiplying the highest exponent prime factors of 7430 and 7437. First we will calculate the prime factors of 7430 and 7437.
Prime Factorization of 7430
| 2 | 7430 |
| 5 | 3715 |
| 743 | 743 |
| 1 |
Prime factors of 7430 are 2, 5,743. Prime factorization of 7430 in exponential form is:
7430 = 21×51×7431
Prime Factorization of 7437
| 3 | 7437 |
| 37 | 2479 |
| 67 | 67 |
| 1 |
Prime factors of 7437 are 3, 37,67. Prime factorization of 7437 in exponential form is:
7437 = 31×371×671
Now multiplying the highest exponent prime factors to calculate the LCM of 7430 and 7437.
LCM(7430,7437) = 21×31×51×371×671×7431
LCM(7430,7437) = 55256910
Factors of 7430
List of positive integer factors of 7430 that divides 7430 without a remainder.
1, 2, 5, 10, 743, 1486, 3715, 7430
Factors of 7437
List of positive integer factors of 7437 that divides 7437 without a remainder.
1, 3, 37, 67, 111, 201, 2479, 7437
Least Common Multiple of 7430 and 7437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7430 and 7437, than apply into the LCM equation.
GCF(7430,7437) = 1
LCM(7430,7437) = ( 7430 × 7437) / 1
LCM(7430,7437) = 55256910 / 1
LCM(7430,7437) = 55256910
Properties of LCM 7430 and 7437
(i) The LCM of 7437 and 7430 is associative
LCM of 7430 and 7437 = LCM of 7437 and 7430
Related Least Common Multiples of 7430
Related Least Common Multiples of 7437
Frequently Asked Questions on LCM of 7430 and 7437
1. What is the LCM of 7430 and 7437?
Answer: LCM of 7430 and 7437 is 55256910.
2. What are the Factors of 7430?
Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.
3. What are the Factors of 7437?
Answer: Factors of 7437 are 1, 3, 37, 67, 111, 201, 2479, 7437. There are 8 integers that are factors of 7437. The greatest factor of 7437 is 7437.
4. How to Find the LCM of 7430 and 7437?
Answer:
Least Common Multiple of 7430 and 7437 = 55256910
Step 1: Find the prime factorization of 7430
7430 = 2 x 5 x 743
Step 2: Find the prime factorization of 7437
7437 = 3 x 37 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 = 55256910 = 2 x 3 x 5 x 37 x 67 x 743
Step 4: Therefore, the least common multiple of 7430 and 7437 is 55256910.