Least Common Multiple of 10279 and 10283
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10279 and 10283 the smallest integer that is 105698957 that is divisible by both numbers.
Least Common Multiple (LCM) of 10279 and 10283 is 105698957.
LCM(10279,10283) = 105698957
LCM of 10279 and 10283
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10279 and 10283 by Prime method
- Least Common Multiple of 10279 and 10283 with GCF Formula
LCM of 10279 and 10283 is 105698957
Least common multiple can be found by multiplying the highest exponent prime factors of 10279 and 10283. First we will calculate the prime factors of 10279 and 10283.
Prime Factorization of 10279
| 19 | 10279 |
| 541 | 541 |
| 1 |
Prime factors of 10279 are 19,541. Prime factorization of 10279 in exponential form is:
10279 = 191×5411
Prime Factorization of 10283
| 7 | 10283 |
| 13 | 1469 |
| 113 | 113 |
| 1 |
Prime factors of 10283 are 7, 13,113. Prime factorization of 10283 in exponential form is:
10283 = 71×131×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 10279 and 10283.
LCM(10279,10283) = 71×131×191×1131×5411
LCM(10279,10283) = 105698957
Factors of 10279
List of positive integer factors of 10279 that divides 10279 without a remainder.
1, 19, 541, 10279
Factors of 10283
List of positive integer factors of 10283 that divides 10283 without a remainder.
1, 7, 13, 91, 113, 791, 1469, 10283
Least Common Multiple of 10279 and 10283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10279 and 10283, than apply into the LCM equation.
GCF(10279,10283) = 1
LCM(10279,10283) = ( 10279 × 10283) / 1
LCM(10279,10283) = 105698957 / 1
LCM(10279,10283) = 105698957
Properties of LCM 10279 and 10283
(i) The LCM of 10283 and 10279 is associative
LCM of 10279 and 10283 = LCM of 10283 and 10279
Related Least Common Multiples of 10279
Related Least Common Multiples of 10283
Frequently Asked Questions on LCM of 10279 and 10283
1. What is the LCM of 10279 and 10283?
Answer: LCM of 10279 and 10283 is 105698957.
2. What are the Factors of 10279?
Answer: Factors of 10279 are 1, 19, 541, 10279. There are 4 integers that are factors of 10279. The greatest factor of 10279 is 10279.
3. What are the Factors of 10283?
Answer: Factors of 10283 are 1, 7, 13, 91, 113, 791, 1469, 10283. There are 8 integers that are factors of 10283. The greatest factor of 10283 is 10283.
4. How to Find the LCM of 10279 and 10283?
Answer:
Least Common Multiple of 10279 and 10283 = 105698957
Step 1: Find the prime factorization of 10279
10279 = 19 x 541
Step 2: Find the prime factorization of 10283
10283 = 7 x 13 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105698957 = 7 x 13 x 19 x 113 x 541
Step 4: Therefore, the least common multiple of 10279 and 10283 is 105698957.