Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5095 and 5100 the smallest integer that is 5196900 that is divisible by both numbers.
Least Common Multiple (LCM) of 5095 and 5100 is 5196900.
LCM(5095,5100) = 5196900
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 5095 and 5100. First we will calculate the prime factors of 5095 and 5100.
Prime Factorization of 5095
5 | 5095 |
1019 | 1019 |
1 |
Prime factors of 5095 are 5,1019. Prime factorization of 5095 in exponential form is:
5095 = 51×10191
Prime Factorization of 5100
2 | 5100 |
2 | 2550 |
3 | 1275 |
5 | 425 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 5100 are 2, 3, 5,17. Prime factorization of 5100 in exponential form is:
5100 = 22×31×52×171
Now multiplying the highest exponent prime factors to calculate the LCM of 5095 and 5100.
LCM(5095,5100) = 22×31×52×171×10191
LCM(5095,5100) = 5196900
Factors of 5095
List of positive integer factors of 5095 that divides 5095 without a remainder.
1, 5, 1019, 5095
Factors of 5100
List of positive integer factors of 5100 that divides 5100 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5095 and 5100, than apply into the LCM equation.
GCF(5095,5100) = 5
LCM(5095,5100) = ( 5095 × 5100) / 5
LCM(5095,5100) = 25984500 / 5
LCM(5095,5100) = 5196900
(i) The LCM of 5100 and 5095 is associative
LCM of 5095 and 5100 = LCM of 5100 and 5095
1. What is the LCM of 5095 and 5100?
Answer: LCM of 5095 and 5100 is 5196900.
2. What are the Factors of 5095?
Answer: Factors of 5095 are 1, 5, 1019, 5095. There are 4 integers that are factors of 5095. The greatest factor of 5095 is 5095.
3. What are the Factors of 5100?
Answer: Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. There are 36 integers that are factors of 5100. The greatest factor of 5100 is 5100.
4. How to Find the LCM of 5095 and 5100?
Answer:
Least Common Multiple of 5095 and 5100 = 5196900
Step 1: Find the prime factorization of 5095
5095 = 5 x 1019
Step 2: Find the prime factorization of 5100
5100 = 2 x 2 x 3 x 5 x 5 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5196900 = 2 x 2 x 3 x 5 x 5 x 17 x 1019
Step 4: Therefore, the least common multiple of 5095 and 5100 is 5196900.