Least Common Multiple of 7953 and 7961
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7953 and 7961 the smallest integer that is 63313833 that is divisible by both numbers.
Least Common Multiple (LCM) of 7953 and 7961 is 63313833.
LCM(7953,7961) = 63313833
LCM of 7953 and 7961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7953 and 7961 by Prime method
- Least Common Multiple of 7953 and 7961 with GCF Formula
LCM of 7953 and 7961 is 63313833
Least common multiple can be found by multiplying the highest exponent prime factors of 7953 and 7961. First we will calculate the prime factors of 7953 and 7961.
Prime Factorization of 7953
| 3 | 7953 |
| 11 | 2651 |
| 241 | 241 |
| 1 |
Prime factors of 7953 are 3, 11,241. Prime factorization of 7953 in exponential form is:
7953 = 31×111×2411
Prime Factorization of 7961
| 19 | 7961 |
| 419 | 419 |
| 1 |
Prime factors of 7961 are 19,419. Prime factorization of 7961 in exponential form is:
7961 = 191×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 7953 and 7961.
LCM(7953,7961) = 31×111×191×2411×4191
LCM(7953,7961) = 63313833
Factors of 7953
List of positive integer factors of 7953 that divides 7953 without a remainder.
1, 3, 11, 33, 241, 723, 2651, 7953
Factors of 7961
List of positive integer factors of 7961 that divides 7961 without a remainder.
1, 19, 419, 7961
Least Common Multiple of 7953 and 7961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7953 and 7961, than apply into the LCM equation.
GCF(7953,7961) = 1
LCM(7953,7961) = ( 7953 × 7961) / 1
LCM(7953,7961) = 63313833 / 1
LCM(7953,7961) = 63313833
Properties of LCM 7953 and 7961
(i) The LCM of 7961 and 7953 is associative
LCM of 7953 and 7961 = LCM of 7961 and 7953
Related Least Common Multiples of 7953
Related Least Common Multiples of 7961
Frequently Asked Questions on LCM of 7953 and 7961
1. What is the LCM of 7953 and 7961?
Answer: LCM of 7953 and 7961 is 63313833.
2. What are the Factors of 7953?
Answer: Factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953. There are 8 integers that are factors of 7953. The greatest factor of 7953 is 7953.
3. What are the Factors of 7961?
Answer: Factors of 7961 are 1, 19, 419, 7961. There are 4 integers that are factors of 7961. The greatest factor of 7961 is 7961.
4. How to Find the LCM of 7953 and 7961?
Answer:
Least Common Multiple of 7953 and 7961 = 63313833
Step 1: Find the prime factorization of 7953
7953 = 3 x 11 x 241
Step 2: Find the prime factorization of 7961
7961 = 19 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63313833 = 3 x 11 x 19 x 241 x 419
Step 4: Therefore, the least common multiple of 7953 and 7961 is 63313833.