Least Common Multiple of 949 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 949 and 957 the smallest integer that is 908193 that is divisible by both numbers.
Least Common Multiple (LCM) of 949 and 957 is 908193.
LCM(949,957) = 908193
LCM of 949 and 957
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 949 and 957 by Prime method
- Least Common Multiple of 949 and 957 with GCF Formula
LCM of 949 and 957 is 908193
Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 957. First we will calculate the prime factors of 949 and 957.
Prime Factorization of 949
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:
949 = 131×731
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 949 and 957.
LCM(949,957) = 31×111×131×291×731
LCM(949,957) = 908193
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1, 13, 73, 949
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 949 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 949 and 957, than apply into the LCM equation.
GCF(949,957) = 1
LCM(949,957) = ( 949 × 957) / 1
LCM(949,957) = 908193 / 1
LCM(949,957) = 908193
Properties of LCM 949 and 957
(i) The LCM of 957 and 949 is associative
LCM of 949 and 957 = LCM of 957 and 949
Related Least Common Multiples of 949
Related Least Common Multiples of 957
Frequently Asked Questions on LCM of 949 and 957
1. What is the LCM of 949 and 957?
Answer: LCM of 949 and 957 is 908193.
2. What are the Factors of 949?
Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.
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 949 and 957?
Answer:
Least Common Multiple of 949 and 957 = 908193
Step 1: Find the prime factorization of 949
949 = 13 x 73
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 = 908193 = 3 x 11 x 13 x 29 x 73
Step 4: Therefore, the least common multiple of 949 and 957 is 908193.