Least Common Multiple of 10134 and 10137
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10134 and 10137 the smallest integer that is 34242786 that is divisible by both numbers.
Least Common Multiple (LCM) of 10134 and 10137 is 34242786.
LCM(10134,10137) = 34242786
LCM of 10134 and 10137
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10134 and 10137 by Prime method
- Least Common Multiple of 10134 and 10137 with GCF Formula
LCM of 10134 and 10137 is 34242786
Least common multiple can be found by multiplying the highest exponent prime factors of 10134 and 10137. First we will calculate the prime factors of 10134 and 10137.
Prime Factorization of 10134
| 2 | 10134 |
| 3 | 5067 |
| 3 | 1689 |
| 563 | 563 |
| 1 |
Prime factors of 10134 are 2, 3,563. Prime factorization of 10134 in exponential form is:
10134 = 21×32×5631
Prime Factorization of 10137
| 3 | 10137 |
| 31 | 3379 |
| 109 | 109 |
| 1 |
Prime factors of 10137 are 3, 31,109. Prime factorization of 10137 in exponential form is:
10137 = 31×311×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 10134 and 10137.
LCM(10134,10137) = 21×32×311×1091×5631
LCM(10134,10137) = 34242786
Factors of 10134
List of positive integer factors of 10134 that divides 10134 without a remainder.
1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134
Factors of 10137
List of positive integer factors of 10137 that divides 10137 without a remainder.
1, 3, 31, 93, 109, 327, 3379, 10137
Least Common Multiple of 10134 and 10137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10134 and 10137, than apply into the LCM equation.
GCF(10134,10137) = 3
LCM(10134,10137) = ( 10134 × 10137) / 3
LCM(10134,10137) = 102728358 / 3
LCM(10134,10137) = 34242786
Properties of LCM 10134 and 10137
(i) The LCM of 10137 and 10134 is associative
LCM of 10134 and 10137 = LCM of 10137 and 10134
Related Least Common Multiples of 10134
Related Least Common Multiples of 10137
Frequently Asked Questions on LCM of 10134 and 10137
1. What is the LCM of 10134 and 10137?
Answer: LCM of 10134 and 10137 is 34242786.
2. What are the Factors of 10134?
Answer: Factors of 10134 are 1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134. There are 12 integers that are factors of 10134. The greatest factor of 10134 is 10134.
3. What are the Factors of 10137?
Answer: Factors of 10137 are 1, 3, 31, 93, 109, 327, 3379, 10137. There are 8 integers that are factors of 10137. The greatest factor of 10137 is 10137.
4. How to Find the LCM of 10134 and 10137?
Answer:
Least Common Multiple of 10134 and 10137 = 34242786
Step 1: Find the prime factorization of 10134
10134 = 2 x 3 x 3 x 563
Step 2: Find the prime factorization of 10137
10137 = 3 x 31 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34242786 = 2 x 3 x 3 x 31 x 109 x 563
Step 4: Therefore, the least common multiple of 10134 and 10137 is 34242786.