Least Common Multiple of 10246 and 10251
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10246 and 10251 the smallest integer that is 105031746 that is divisible by both numbers.
Least Common Multiple (LCM) of 10246 and 10251 is 105031746.
LCM(10246,10251) = 105031746
LCM of 10246 and 10251
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10246 and 10251 by Prime method
- Least Common Multiple of 10246 and 10251 with GCF Formula
LCM of 10246 and 10251 is 105031746
Least common multiple can be found by multiplying the highest exponent prime factors of 10246 and 10251. First we will calculate the prime factors of 10246 and 10251.
Prime Factorization of 10246
| 2 | 10246 |
| 47 | 5123 |
| 109 | 109 |
| 1 |
Prime factors of 10246 are 2, 47,109. Prime factorization of 10246 in exponential form is:
10246 = 21×471×1091
Prime Factorization of 10251
| 3 | 10251 |
| 3 | 3417 |
| 17 | 1139 |
| 67 | 67 |
| 1 |
Prime factors of 10251 are 3, 17,67. Prime factorization of 10251 in exponential form is:
10251 = 32×171×671
Now multiplying the highest exponent prime factors to calculate the LCM of 10246 and 10251.
LCM(10246,10251) = 21×32×171×471×671×1091
LCM(10246,10251) = 105031746
Factors of 10246
List of positive integer factors of 10246 that divides 10246 without a remainder.
1, 2, 47, 94, 109, 218, 5123, 10246
Factors of 10251
List of positive integer factors of 10251 that divides 10251 without a remainder.
1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251
Least Common Multiple of 10246 and 10251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10246 and 10251, than apply into the LCM equation.
GCF(10246,10251) = 1
LCM(10246,10251) = ( 10246 × 10251) / 1
LCM(10246,10251) = 105031746 / 1
LCM(10246,10251) = 105031746
Properties of LCM 10246 and 10251
(i) The LCM of 10251 and 10246 is associative
LCM of 10246 and 10251 = LCM of 10251 and 10246
Related Least Common Multiples of 10246
Related Least Common Multiples of 10251
Frequently Asked Questions on LCM of 10246 and 10251
1. What is the LCM of 10246 and 10251?
Answer: LCM of 10246 and 10251 is 105031746.
2. What are the Factors of 10246?
Answer: Factors of 10246 are 1, 2, 47, 94, 109, 218, 5123, 10246. There are 8 integers that are factors of 10246. The greatest factor of 10246 is 10246.
3. What are the Factors of 10251?
Answer: Factors of 10251 are 1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251. There are 12 integers that are factors of 10251. The greatest factor of 10251 is 10251.
4. How to Find the LCM of 10246 and 10251?
Answer:
Least Common Multiple of 10246 and 10251 = 105031746
Step 1: Find the prime factorization of 10246
10246 = 2 x 47 x 109
Step 2: Find the prime factorization of 10251
10251 = 3 x 3 x 17 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 = 105031746 = 2 x 3 x 3 x 17 x 47 x 67 x 109
Step 4: Therefore, the least common multiple of 10246 and 10251 is 105031746.