Least Common Multiple of 7953 and 7957
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 7957 the smallest integer that is 63282021 that is divisible by both numbers.
Least Common Multiple (LCM) of 7953 and 7957 is 63282021.
LCM(7953,7957) = 63282021
LCM of 7953 and 7957
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7953 and 7957 by Prime method
- Least Common Multiple of 7953 and 7957 with GCF Formula
LCM of 7953 and 7957 is 63282021
Least common multiple can be found by multiplying the highest exponent prime factors of 7953 and 7957. First we will calculate the prime factors of 7953 and 7957.
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 7957
| 73 | 7957 |
| 109 | 109 |
| 1 |
Prime factors of 7957 are 73,109. Prime factorization of 7957 in exponential form is:
7957 = 731×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 7953 and 7957.
LCM(7953,7957) = 31×111×731×1091×2411
LCM(7953,7957) = 63282021
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 7957
List of positive integer factors of 7957 that divides 7957 without a remainder.
1, 73, 109, 7957
Least Common Multiple of 7953 and 7957 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 7957, than apply into the LCM equation.
GCF(7953,7957) = 1
LCM(7953,7957) = ( 7953 × 7957) / 1
LCM(7953,7957) = 63282021 / 1
LCM(7953,7957) = 63282021
Properties of LCM 7953 and 7957
(i) The LCM of 7957 and 7953 is associative
LCM of 7953 and 7957 = LCM of 7957 and 7953
Related Least Common Multiples of 7953
Related Least Common Multiples of 7957
Frequently Asked Questions on LCM of 7953 and 7957
1. What is the LCM of 7953 and 7957?
Answer: LCM of 7953 and 7957 is 63282021.
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 7957?
Answer: Factors of 7957 are 1, 73, 109, 7957. There are 4 integers that are factors of 7957. The greatest factor of 7957 is 7957.
4. How to Find the LCM of 7953 and 7957?
Answer:
Least Common Multiple of 7953 and 7957 = 63282021
Step 1: Find the prime factorization of 7953
7953 = 3 x 11 x 241
Step 2: Find the prime factorization of 7957
7957 = 73 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63282021 = 3 x 11 x 73 x 109 x 241
Step 4: Therefore, the least common multiple of 7953 and 7957 is 63282021.