Least Common Multiple of 862 and 869
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 862 and 869 the smallest integer that is 749078 that is divisible by both numbers.
Least Common Multiple (LCM) of 862 and 869 is 749078.
LCM(862,869) = 749078
LCM of 862 and 869
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 862 and 869 by Prime method
- Least Common Multiple of 862 and 869 with GCF Formula
LCM of 862 and 869 is 749078
Least common multiple can be found by multiplying the highest exponent prime factors of 862 and 869. First we will calculate the prime factors of 862 and 869.
Prime Factorization of 862
| 2 | 862 |
| 431 | 431 |
| 1 |
Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:
862 = 21×4311
Prime Factorization of 869
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:
869 = 111×791
Now multiplying the highest exponent prime factors to calculate the LCM of 862 and 869.
LCM(862,869) = 21×111×791×4311
LCM(862,869) = 749078
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Least Common Multiple of 862 and 869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 862 and 869, than apply into the LCM equation.
GCF(862,869) = 1
LCM(862,869) = ( 862 × 869) / 1
LCM(862,869) = 749078 / 1
LCM(862,869) = 749078
Properties of LCM 862 and 869
(i) The LCM of 869 and 862 is associative
LCM of 862 and 869 = LCM of 869 and 862
Related Least Common Multiples of 862
Related Least Common Multiples of 869
Frequently Asked Questions on LCM of 862 and 869
1. What is the LCM of 862 and 869?
Answer: LCM of 862 and 869 is 749078.
2. What are the Factors of 862?
Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.
3. What are the Factors of 869?
Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.
4. How to Find the LCM of 862 and 869?
Answer:
Least Common Multiple of 862 and 869 = 749078
Step 1: Find the prime factorization of 862
862 = 2 x 431
Step 2: Find the prime factorization of 869
869 = 11 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 749078 = 2 x 11 x 79 x 431
Step 4: Therefore, the least common multiple of 862 and 869 is 749078.