Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7426 and 7431 the smallest integer that is 55182606 that is divisible by both numbers.
Least Common Multiple (LCM) of 7426 and 7431 is 55182606.
LCM(7426,7431) = 55182606
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 7426 and 7431. First we will calculate the prime factors of 7426 and 7431.
Prime Factorization of 7426
2 | 7426 |
47 | 3713 |
79 | 79 |
1 |
Prime factors of 7426 are 2, 47,79. Prime factorization of 7426 in exponential form is:
7426 = 21×471×791
Prime Factorization of 7431
3 | 7431 |
2477 | 2477 |
1 |
Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:
7431 = 31×24771
Now multiplying the highest exponent prime factors to calculate the LCM of 7426 and 7431.
LCM(7426,7431) = 21×31×471×791×24771
LCM(7426,7431) = 55182606
Factors of 7426
List of positive integer factors of 7426 that divides 7426 without a remainder.
1, 2, 47, 79, 94, 158, 3713, 7426
Factors of 7431
List of positive integer factors of 7431 that divides 7431 without a remainder.
1, 3, 2477, 7431
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7426 and 7431, than apply into the LCM equation.
GCF(7426,7431) = 1
LCM(7426,7431) = ( 7426 × 7431) / 1
LCM(7426,7431) = 55182606 / 1
LCM(7426,7431) = 55182606
(i) The LCM of 7431 and 7426 is associative
LCM of 7426 and 7431 = LCM of 7431 and 7426
1. What is the LCM of 7426 and 7431?
Answer: LCM of 7426 and 7431 is 55182606.
2. What are the Factors of 7426?
Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.
3. What are the Factors of 7431?
Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.
4. How to Find the LCM of 7426 and 7431?
Answer:
Least Common Multiple of 7426 and 7431 = 55182606
Step 1: Find the prime factorization of 7426
7426 = 2 x 47 x 79
Step 2: Find the prime factorization of 7431
7431 = 3 x 2477
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55182606 = 2 x 3 x 47 x 79 x 2477
Step 4: Therefore, the least common multiple of 7426 and 7431 is 55182606.