Least Common Multiple of 953 and 957
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 953 and 957 the smallest integer that is 912021 that is divisible by both numbers.
Least Common Multiple (LCM) of 953 and 957 is 912021.
LCM(953,957) = 912021
LCM of 953 and 957
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 953 and 957 by Prime method
- Least Common Multiple of 953 and 957 with GCF Formula
LCM of 953 and 957 is 912021
Least common multiple can be found by multiplying the highest exponent prime factors of 953 and 957. First we will calculate the prime factors of 953 and 957.
Prime Factorization of 953
| 953 | 953 |
| 1 |
Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:
953 = 9531
Prime Factorization of 957
| 3 | 957 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:
957 = 31×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 953 and 957.
LCM(953,957) = 31×111×291×9531
LCM(953,957) = 912021
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1, 953
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Least Common Multiple of 953 and 957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 953 and 957, than apply into the LCM equation.
GCF(953,957) = 1
LCM(953,957) = ( 953 × 957) / 1
LCM(953,957) = 912021 / 1
LCM(953,957) = 912021
Properties of LCM 953 and 957
(i) The LCM of 957 and 953 is associative
LCM of 953 and 957 = LCM of 957 and 953
Related Least Common Multiples of 953
Related Least Common Multiples of 957
Frequently Asked Questions on LCM of 953 and 957
1. What is the LCM of 953 and 957?
Answer: LCM of 953 and 957 is 912021.
2. What are the Factors of 953?
Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.
3. What are the Factors of 957?
Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.
4. How to Find the LCM of 953 and 957?
Answer:
Least Common Multiple of 953 and 957 = 912021
Step 1: Find the prime factorization of 953
953 = 953
Step 2: Find the prime factorization of 957
957 = 3 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 912021 = 3 x 11 x 29 x 953
Step 4: Therefore, the least common multiple of 953 and 957 is 912021.