Least Common Multiple of 5151 and 5159
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5151 and 5159 the smallest integer that is 26574009 that is divisible by both numbers.
Least Common Multiple (LCM) of 5151 and 5159 is 26574009.
LCM(5151,5159) = 26574009
LCM of 5151 and 5159
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5151 and 5159 by Prime method
- Least Common Multiple of 5151 and 5159 with GCF Formula
LCM of 5151 and 5159 is 26574009
Least common multiple can be found by multiplying the highest exponent prime factors of 5151 and 5159. First we will calculate the prime factors of 5151 and 5159.
Prime Factorization of 5151
| 3 | 5151 |
| 17 | 1717 |
| 101 | 101 |
| 1 |
Prime factors of 5151 are 3, 17,101. Prime factorization of 5151 in exponential form is:
5151 = 31×171×1011
Prime Factorization of 5159
| 7 | 5159 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 5159 are 7, 11,67. Prime factorization of 5159 in exponential form is:
5159 = 71×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 5151 and 5159.
LCM(5151,5159) = 31×71×111×171×671×1011
LCM(5151,5159) = 26574009
Factors of 5151
List of positive integer factors of 5151 that divides 5151 without a remainder.
1, 3, 17, 51, 101, 303, 1717, 5151
Factors of 5159
List of positive integer factors of 5159 that divides 5159 without a remainder.
1, 7, 11, 67, 77, 469, 737, 5159
Least Common Multiple of 5151 and 5159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5151 and 5159, than apply into the LCM equation.
GCF(5151,5159) = 1
LCM(5151,5159) = ( 5151 × 5159) / 1
LCM(5151,5159) = 26574009 / 1
LCM(5151,5159) = 26574009
Properties of LCM 5151 and 5159
(i) The LCM of 5159 and 5151 is associative
LCM of 5151 and 5159 = LCM of 5159 and 5151
Related Least Common Multiples of 5151
Related Least Common Multiples of 5159
Frequently Asked Questions on LCM of 5151 and 5159
1. What is the LCM of 5151 and 5159?
Answer: LCM of 5151 and 5159 is 26574009.
2. What are the Factors of 5151?
Answer: Factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151. There are 8 integers that are factors of 5151. The greatest factor of 5151 is 5151.
3. What are the Factors of 5159?
Answer: Factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159. There are 8 integers that are factors of 5159. The greatest factor of 5159 is 5159.
4. How to Find the LCM of 5151 and 5159?
Answer:
Least Common Multiple of 5151 and 5159 = 26574009
Step 1: Find the prime factorization of 5151
5151 = 3 x 17 x 101
Step 2: Find the prime factorization of 5159
5159 = 7 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26574009 = 3 x 7 x 11 x 17 x 67 x 101
Step 4: Therefore, the least common multiple of 5151 and 5159 is 26574009.