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 7432 the smallest integer that is 27595016 that is divisible by both numbers.
Least Common Multiple (LCM) of 7426 and 7432 is 27595016.
LCM(7426,7432) = 27595016
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 7432. First we will calculate the prime factors of 7426 and 7432.
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 7432
2 | 7432 |
2 | 3716 |
2 | 1858 |
929 | 929 |
1 |
Prime factors of 7432 are 2,929. Prime factorization of 7432 in exponential form is:
7432 = 23×9291
Now multiplying the highest exponent prime factors to calculate the LCM of 7426 and 7432.
LCM(7426,7432) = 23×471×791×9291
LCM(7426,7432) = 27595016
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 7432
List of positive integer factors of 7432 that divides 7432 without a remainder.
1, 2, 4, 8, 929, 1858, 3716, 7432
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7426 and 7432, than apply into the LCM equation.
GCF(7426,7432) = 2
LCM(7426,7432) = ( 7426 × 7432) / 2
LCM(7426,7432) = 55190032 / 2
LCM(7426,7432) = 27595016
(i) The LCM of 7432 and 7426 is associative
LCM of 7426 and 7432 = LCM of 7432 and 7426
1. What is the LCM of 7426 and 7432?
Answer: LCM of 7426 and 7432 is 27595016.
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 7432?
Answer: Factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432. There are 8 integers that are factors of 7432. The greatest factor of 7432 is 7432.
4. How to Find the LCM of 7426 and 7432?
Answer:
Least Common Multiple of 7426 and 7432 = 27595016
Step 1: Find the prime factorization of 7426
7426 = 2 x 47 x 79
Step 2: Find the prime factorization of 7432
7432 = 2 x 2 x 2 x 929
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27595016 = 2 x 2 x 2 x 47 x 79 x 929
Step 4: Therefore, the least common multiple of 7426 and 7432 is 27595016.