Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5069 and 5076 the smallest integer that is 25730244 that is divisible by both numbers.
Least Common Multiple (LCM) of 5069 and 5076 is 25730244.
LCM(5069,5076) = 25730244
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 5069 and 5076. First we will calculate the prime factors of 5069 and 5076.
Prime Factorization of 5069
37 | 5069 |
137 | 137 |
1 |
Prime factors of 5069 are 37,137. Prime factorization of 5069 in exponential form is:
5069 = 371×1371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5069 and 5076.
LCM(5069,5076) = 22×33×371×471×1371
LCM(5069,5076) = 25730244
Factors of 5069
List of positive integer factors of 5069 that divides 5069 without a remainder.
1, 37, 137, 5069
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5069 and 5076, than apply into the LCM equation.
GCF(5069,5076) = 1
LCM(5069,5076) = ( 5069 × 5076) / 1
LCM(5069,5076) = 25730244 / 1
LCM(5069,5076) = 25730244
(i) The LCM of 5076 and 5069 is associative
LCM of 5069 and 5076 = LCM of 5076 and 5069
1. What is the LCM of 5069 and 5076?
Answer: LCM of 5069 and 5076 is 25730244.
2. What are the Factors of 5069?
Answer: Factors of 5069 are 1, 37, 137, 5069. There are 4 integers that are factors of 5069. The greatest factor of 5069 is 5069.
3. 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.
4. How to Find the LCM of 5069 and 5076?
Answer:
Least Common Multiple of 5069 and 5076 = 25730244
Step 1: Find the prime factorization of 5069
5069 = 37 x 137
Step 2: Find the prime factorization of 5076
5076 = 2 x 2 x 3 x 3 x 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25730244 = 2 x 2 x 3 x 3 x 3 x 37 x 47 x 137
Step 4: Therefore, the least common multiple of 5069 and 5076 is 25730244.