Least Common Multiple of 1957 and 1965
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1957 and 1965 the smallest integer that is 3845505 that is divisible by both numbers.
Least Common Multiple (LCM) of 1957 and 1965 is 3845505.
LCM(1957,1965) = 3845505
LCM of 1957 and 1965
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1957 and 1965 by Prime method
- Least Common Multiple of 1957 and 1965 with GCF Formula
LCM of 1957 and 1965 is 3845505
Least common multiple can be found by multiplying the highest exponent prime factors of 1957 and 1965. First we will calculate the prime factors of 1957 and 1965.
Prime Factorization of 1957
| 19 | 1957 |
| 103 | 103 |
| 1 |
Prime factors of 1957 are 19,103. Prime factorization of 1957 in exponential form is:
1957 = 191×1031
Prime Factorization of 1965
| 3 | 1965 |
| 5 | 655 |
| 131 | 131 |
| 1 |
Prime factors of 1965 are 3, 5,131. Prime factorization of 1965 in exponential form is:
1965 = 31×51×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 1957 and 1965.
LCM(1957,1965) = 31×51×191×1031×1311
LCM(1957,1965) = 3845505
Factors of 1957
List of positive integer factors of 1957 that divides 1957 without a remainder.
1, 19, 103, 1957
Factors of 1965
List of positive integer factors of 1965 that divides 1965 without a remainder.
1, 3, 5, 15, 131, 393, 655, 1965
Least Common Multiple of 1957 and 1965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1957 and 1965, than apply into the LCM equation.
GCF(1957,1965) = 1
LCM(1957,1965) = ( 1957 × 1965) / 1
LCM(1957,1965) = 3845505 / 1
LCM(1957,1965) = 3845505
Properties of LCM 1957 and 1965
(i) The LCM of 1965 and 1957 is associative
LCM of 1957 and 1965 = LCM of 1965 and 1957
Related Least Common Multiples of 1957
Related Least Common Multiples of 1965
Frequently Asked Questions on LCM of 1957 and 1965
1. What is the LCM of 1957 and 1965?
Answer: LCM of 1957 and 1965 is 3845505.
2. What are the Factors of 1957?
Answer: Factors of 1957 are 1, 19, 103, 1957. There are 4 integers that are factors of 1957. The greatest factor of 1957 is 1957.
3. What are the Factors of 1965?
Answer: Factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965. There are 8 integers that are factors of 1965. The greatest factor of 1965 is 1965.
4. How to Find the LCM of 1957 and 1965?
Answer:
Least Common Multiple of 1957 and 1965 = 3845505
Step 1: Find the prime factorization of 1957
1957 = 19 x 103
Step 2: Find the prime factorization of 1965
1965 = 3 x 5 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3845505 = 3 x 5 x 19 x 103 x 131
Step 4: Therefore, the least common multiple of 1957 and 1965 is 3845505.