Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5081 and 5088 the smallest integer that is 25852128 that is divisible by both numbers.
Least Common Multiple (LCM) of 5081 and 5088 is 25852128.
LCM(5081,5088) = 25852128
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 5081 and 5088. First we will calculate the prime factors of 5081 and 5088.
Prime Factorization of 5081
5081 | 5081 |
1 |
Prime factors of 5081 are 5081. Prime factorization of 5081 in exponential form is:
5081 = 50811
Prime Factorization of 5088
2 | 5088 |
2 | 2544 |
2 | 1272 |
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 5088 are 2, 3,53. Prime factorization of 5088 in exponential form is:
5088 = 25×31×531
Now multiplying the highest exponent prime factors to calculate the LCM of 5081 and 5088.
LCM(5081,5088) = 25×31×531×50811
LCM(5081,5088) = 25852128
Factors of 5081
List of positive integer factors of 5081 that divides 5081 without a remainder.
1, 5081
Factors of 5088
List of positive integer factors of 5088 that divides 5088 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5081 and 5088, than apply into the LCM equation.
GCF(5081,5088) = 1
LCM(5081,5088) = ( 5081 × 5088) / 1
LCM(5081,5088) = 25852128 / 1
LCM(5081,5088) = 25852128
(i) The LCM of 5088 and 5081 is associative
LCM of 5081 and 5088 = LCM of 5088 and 5081
1. What is the LCM of 5081 and 5088?
Answer: LCM of 5081 and 5088 is 25852128.
2. What are the Factors of 5081?
Answer: Factors of 5081 are 1, 5081. There are 2 integers that are factors of 5081. The greatest factor of 5081 is 5081.
3. What are the Factors of 5088?
Answer: Factors of 5088 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, 1696, 2544, 5088. There are 24 integers that are factors of 5088. The greatest factor of 5088 is 5088.
4. How to Find the LCM of 5081 and 5088?
Answer:
Least Common Multiple of 5081 and 5088 = 25852128
Step 1: Find the prime factorization of 5081
5081 = 5081
Step 2: Find the prime factorization of 5088
5088 = 2 x 2 x 2 x 2 x 2 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25852128 = 2 x 2 x 2 x 2 x 2 x 3 x 53 x 5081
Step 4: Therefore, the least common multiple of 5081 and 5088 is 25852128.