Least Common Multiple of 7490 and 7491
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7490 and 7491 the smallest integer that is 56107590 that is divisible by both numbers.
Least Common Multiple (LCM) of 7490 and 7491 is 56107590.
LCM(7490,7491) = 56107590
LCM of 7490 and 7491
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7490 and 7491 by Prime method
- Least Common Multiple of 7490 and 7491 with GCF Formula
LCM of 7490 and 7491 is 56107590
Least common multiple can be found by multiplying the highest exponent prime factors of 7490 and 7491. First we will calculate the prime factors of 7490 and 7491.
Prime Factorization of 7490
| 2 | 7490 |
| 5 | 3745 |
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 7490 are 2, 5, 7,107. Prime factorization of 7490 in exponential form is:
7490 = 21×51×71×1071
Prime Factorization of 7491
| 3 | 7491 |
| 11 | 2497 |
| 227 | 227 |
| 1 |
Prime factors of 7491 are 3, 11,227. Prime factorization of 7491 in exponential form is:
7491 = 31×111×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 7490 and 7491.
LCM(7490,7491) = 21×31×51×71×111×1071×2271
LCM(7490,7491) = 56107590
Factors of 7490
List of positive integer factors of 7490 that divides 7490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490
Factors of 7491
List of positive integer factors of 7491 that divides 7491 without a remainder.
1, 3, 11, 33, 227, 681, 2497, 7491
Least Common Multiple of 7490 and 7491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7490 and 7491, than apply into the LCM equation.
GCF(7490,7491) = 1
LCM(7490,7491) = ( 7490 × 7491) / 1
LCM(7490,7491) = 56107590 / 1
LCM(7490,7491) = 56107590
Properties of LCM 7490 and 7491
(i) The LCM of 7491 and 7490 is associative
LCM of 7490 and 7491 = LCM of 7491 and 7490
Related Least Common Multiples of 7490
Related Least Common Multiples of 7491
Frequently Asked Questions on LCM of 7490 and 7491
1. What is the LCM of 7490 and 7491?
Answer: LCM of 7490 and 7491 is 56107590.
2. What are the Factors of 7490?
Answer: Factors of 7490 are 1, 2, 5, 7, 10, 14, 35, 70, 107, 214, 535, 749, 1070, 1498, 3745, 7490. There are 16 integers that are factors of 7490. The greatest factor of 7490 is 7490.
3. What are the Factors of 7491?
Answer: Factors of 7491 are 1, 3, 11, 33, 227, 681, 2497, 7491. There are 8 integers that are factors of 7491. The greatest factor of 7491 is 7491.
4. How to Find the LCM of 7490 and 7491?
Answer:
Least Common Multiple of 7490 and 7491 = 56107590
Step 1: Find the prime factorization of 7490
7490 = 2 x 5 x 7 x 107
Step 2: Find the prime factorization of 7491
7491 = 3 x 11 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56107590 = 2 x 3 x 5 x 7 x 11 x 107 x 227
Step 4: Therefore, the least common multiple of 7490 and 7491 is 56107590.