Least Common Multiple of 7857 and 7862
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7857 and 7862 the smallest integer that is 61771734 that is divisible by both numbers.
Least Common Multiple (LCM) of 7857 and 7862 is 61771734.
LCM(7857,7862) = 61771734
LCM of 7857 and 7862
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7857 and 7862 by Prime method
- Least Common Multiple of 7857 and 7862 with GCF Formula
LCM of 7857 and 7862 is 61771734
Least common multiple can be found by multiplying the highest exponent prime factors of 7857 and 7862. First we will calculate the prime factors of 7857 and 7862.
Prime Factorization of 7857
| 3 | 7857 |
| 3 | 2619 |
| 3 | 873 |
| 3 | 291 |
| 97 | 97 |
| 1 |
Prime factors of 7857 are 3,97. Prime factorization of 7857 in exponential form is:
7857 = 34×971
Prime Factorization of 7862
| 2 | 7862 |
| 3931 | 3931 |
| 1 |
Prime factors of 7862 are 2,3931. Prime factorization of 7862 in exponential form is:
7862 = 21×39311
Now multiplying the highest exponent prime factors to calculate the LCM of 7857 and 7862.
LCM(7857,7862) = 21×34×971×39311
LCM(7857,7862) = 61771734
Factors of 7857
List of positive integer factors of 7857 that divides 7857 without a remainder.
1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857
Factors of 7862
List of positive integer factors of 7862 that divides 7862 without a remainder.
1, 2, 3931, 7862
Least Common Multiple of 7857 and 7862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7857 and 7862, than apply into the LCM equation.
GCF(7857,7862) = 1
LCM(7857,7862) = ( 7857 × 7862) / 1
LCM(7857,7862) = 61771734 / 1
LCM(7857,7862) = 61771734
Properties of LCM 7857 and 7862
(i) The LCM of 7862 and 7857 is associative
LCM of 7857 and 7862 = LCM of 7862 and 7857
Related Least Common Multiples of 7857
Related Least Common Multiples of 7862
Frequently Asked Questions on LCM of 7857 and 7862
1. What is the LCM of 7857 and 7862?
Answer: LCM of 7857 and 7862 is 61771734.
2. What are the Factors of 7857?
Answer: Factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857. There are 10 integers that are factors of 7857. The greatest factor of 7857 is 7857.
3. What are the Factors of 7862?
Answer: Factors of 7862 are 1, 2, 3931, 7862. There are 4 integers that are factors of 7862. The greatest factor of 7862 is 7862.
4. How to Find the LCM of 7857 and 7862?
Answer:
Least Common Multiple of 7857 and 7862 = 61771734
Step 1: Find the prime factorization of 7857
7857 = 3 x 3 x 3 x 3 x 97
Step 2: Find the prime factorization of 7862
7862 = 2 x 3931
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61771734 = 2 x 3 x 3 x 3 x 3 x 97 x 3931
Step 4: Therefore, the least common multiple of 7857 and 7862 is 61771734.