Least Common Multiple of 7923 and 7927
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7923 and 7927 the smallest integer that is 62805621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7923 and 7927 is 62805621.
LCM(7923,7927) = 62805621
LCM of 7923 and 7927
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7923 and 7927 by Prime method
- Least Common Multiple of 7923 and 7927 with GCF Formula
LCM of 7923 and 7927 is 62805621
Least common multiple can be found by multiplying the highest exponent prime factors of 7923 and 7927. First we will calculate the prime factors of 7923 and 7927.
Prime Factorization of 7923
| 3 | 7923 |
| 19 | 2641 |
| 139 | 139 |
| 1 |
Prime factors of 7923 are 3, 19,139. Prime factorization of 7923 in exponential form is:
7923 = 31×191×1391
Prime Factorization of 7927
| 7927 | 7927 |
| 1 |
Prime factors of 7927 are 7927. Prime factorization of 7927 in exponential form is:
7927 = 79271
Now multiplying the highest exponent prime factors to calculate the LCM of 7923 and 7927.
LCM(7923,7927) = 31×191×1391×79271
LCM(7923,7927) = 62805621
Factors of 7923
List of positive integer factors of 7923 that divides 7923 without a remainder.
1, 3, 19, 57, 139, 417, 2641, 7923
Factors of 7927
List of positive integer factors of 7927 that divides 7927 without a remainder.
1, 7927
Least Common Multiple of 7923 and 7927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7923 and 7927, than apply into the LCM equation.
GCF(7923,7927) = 1
LCM(7923,7927) = ( 7923 × 7927) / 1
LCM(7923,7927) = 62805621 / 1
LCM(7923,7927) = 62805621
Properties of LCM 7923 and 7927
(i) The LCM of 7927 and 7923 is associative
LCM of 7923 and 7927 = LCM of 7927 and 7923
Related Least Common Multiples of 7923
Related Least Common Multiples of 7927
Frequently Asked Questions on LCM of 7923 and 7927
1. What is the LCM of 7923 and 7927?
Answer: LCM of 7923 and 7927 is 62805621.
2. What are the Factors of 7923?
Answer: Factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923. There are 8 integers that are factors of 7923. The greatest factor of 7923 is 7923.
3. What are the Factors of 7927?
Answer: Factors of 7927 are 1, 7927. There are 2 integers that are factors of 7927. The greatest factor of 7927 is 7927.
4. How to Find the LCM of 7923 and 7927?
Answer:
Least Common Multiple of 7923 and 7927 = 62805621
Step 1: Find the prime factorization of 7923
7923 = 3 x 19 x 139
Step 2: Find the prime factorization of 7927
7927 = 7927
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62805621 = 3 x 19 x 139 x 7927
Step 4: Therefore, the least common multiple of 7923 and 7927 is 62805621.