Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 957 and 964 the smallest integer that is 922548 that is divisible by both numbers.
Least Common Multiple (LCM) of 957 and 964 is 922548.
LCM(957,964) = 922548
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 957 and 964. First we will calculate the prime factors of 957 and 964.
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
Prime Factorization of 964
2 | 964 |
2 | 482 |
241 | 241 |
1 |
Prime factors of 964 are 2,241. Prime factorization of 964 in exponential form is:
964 = 22×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 957 and 964.
LCM(957,964) = 22×31×111×291×2411
LCM(957,964) = 922548
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 957 and 964, than apply into the LCM equation.
GCF(957,964) = 1
LCM(957,964) = ( 957 × 964) / 1
LCM(957,964) = 922548 / 1
LCM(957,964) = 922548
(i) The LCM of 964 and 957 is associative
LCM of 957 and 964 = LCM of 964 and 957
1. What is the LCM of 957 and 964?
Answer: LCM of 957 and 964 is 922548.
2. 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.
3. What are the Factors of 964?
Answer: Factors of 964 are 1, 2, 4, 241, 482, 964. There are 6 integers that are factors of 964. The greatest factor of 964 is 964.
4. How to Find the LCM of 957 and 964?
Answer:
Least Common Multiple of 957 and 964 = 922548
Step 1: Find the prime factorization of 957
957 = 3 x 11 x 29
Step 2: Find the prime factorization of 964
964 = 2 x 2 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 922548 = 2 x 2 x 3 x 11 x 29 x 241
Step 4: Therefore, the least common multiple of 957 and 964 is 922548.