Least Common Multiple of 7921 and 7923
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7921 and 7923 the smallest integer that is 62758083 that is divisible by both numbers.
Least Common Multiple (LCM) of 7921 and 7923 is 62758083.
LCM(7921,7923) = 62758083
LCM of 7921 and 7923
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7921 and 7923 by Prime method
- Least Common Multiple of 7921 and 7923 with GCF Formula
LCM of 7921 and 7923 is 62758083
Least common multiple can be found by multiplying the highest exponent prime factors of 7921 and 7923. First we will calculate the prime factors of 7921 and 7923.
Prime Factorization of 7921
| 89 | 7921 |
| 89 | 89 |
| 1 |
Prime factors of 7921 are 89. Prime factorization of 7921 in exponential form is:
7921 = 892
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7921 and 7923.
LCM(7921,7923) = 31×191×892×1391
LCM(7921,7923) = 62758083
Factors of 7921
List of positive integer factors of 7921 that divides 7921 without a remainder.
1, 89, 7921
Factors of 7923
List of positive integer factors of 7923 that divides 7923 without a remainder.
1, 3, 19, 57, 139, 417, 2641, 7923
Least Common Multiple of 7921 and 7923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7921 and 7923, than apply into the LCM equation.
GCF(7921,7923) = 1
LCM(7921,7923) = ( 7921 × 7923) / 1
LCM(7921,7923) = 62758083 / 1
LCM(7921,7923) = 62758083
Properties of LCM 7921 and 7923
(i) The LCM of 7923 and 7921 is associative
LCM of 7921 and 7923 = LCM of 7923 and 7921
Related Least Common Multiples of 7921
Related Least Common Multiples of 7923
Frequently Asked Questions on LCM of 7921 and 7923
1. What is the LCM of 7921 and 7923?
Answer: LCM of 7921 and 7923 is 62758083.
2. What are the Factors of 7921?
Answer: Factors of 7921 are 1, 89, 7921. There are 3 integers that are factors of 7921. The greatest factor of 7921 is 7921.
3. 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.
4. How to Find the LCM of 7921 and 7923?
Answer:
Least Common Multiple of 7921 and 7923 = 62758083
Step 1: Find the prime factorization of 7921
7921 = 89 x 89
Step 2: Find the prime factorization of 7923
7923 = 3 x 19 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 62758083 = 3 x 19 x 89 x 89 x 139
Step 4: Therefore, the least common multiple of 7921 and 7923 is 62758083.