Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5076 and 5084 the smallest integer that is 6451596 that is divisible by both numbers.
Least Common Multiple (LCM) of 5076 and 5084 is 6451596.
LCM(5076,5084) = 6451596
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 5076 and 5084. First we will calculate the prime factors of 5076 and 5084.
Prime Factorization of 5076
2 | 5076 |
2 | 2538 |
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 5076 are 2, 3,47. Prime factorization of 5076 in exponential form is:
5076 = 22×33×471
Prime Factorization of 5084
2 | 5084 |
2 | 2542 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 5084 are 2, 31,41. Prime factorization of 5084 in exponential form is:
5084 = 22×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5076 and 5084.
LCM(5076,5084) = 22×33×311×411×471
LCM(5076,5084) = 6451596
Factors of 5076
List of positive integer factors of 5076 that divides 5076 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076
Factors of 5084
List of positive integer factors of 5084 that divides 5084 without a remainder.
1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5076 and 5084, than apply into the LCM equation.
GCF(5076,5084) = 4
LCM(5076,5084) = ( 5076 × 5084) / 4
LCM(5076,5084) = 25806384 / 4
LCM(5076,5084) = 6451596
(i) The LCM of 5084 and 5076 is associative
LCM of 5076 and 5084 = LCM of 5084 and 5076
1. What is the LCM of 5076 and 5084?
Answer: LCM of 5076 and 5084 is 6451596.
2. What are the Factors of 5076?
Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.
3. What are the Factors of 5084?
Answer: Factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084. There are 12 integers that are factors of 5084. The greatest factor of 5084 is 5084.
4. How to Find the LCM of 5076 and 5084?
Answer:
Least Common Multiple of 5076 and 5084 = 6451596
Step 1: Find the prime factorization of 5076
5076 = 2 x 2 x 3 x 3 x 3 x 47
Step 2: Find the prime factorization of 5084
5084 = 2 x 2 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6451596 = 2 x 2 x 3 x 3 x 3 x 31 x 41 x 47
Step 4: Therefore, the least common multiple of 5076 and 5084 is 6451596.