Least Common Multiple of 1957 and 1961
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 1961 the smallest integer that is 3837677 that is divisible by both numbers.
Least Common Multiple (LCM) of 1957 and 1961 is 3837677.
LCM(1957,1961) = 3837677
LCM of 1957 and 1961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1957 and 1961 by Prime method
- Least Common Multiple of 1957 and 1961 with GCF Formula
LCM of 1957 and 1961 is 3837677
Least common multiple can be found by multiplying the highest exponent prime factors of 1957 and 1961. First we will calculate the prime factors of 1957 and 1961.
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 1961
| 37 | 1961 |
| 53 | 53 |
| 1 |
Prime factors of 1961 are 37,53. Prime factorization of 1961 in exponential form is:
1961 = 371×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1957 and 1961.
LCM(1957,1961) = 191×371×531×1031
LCM(1957,1961) = 3837677
Factors of 1957
List of positive integer factors of 1957 that divides 1957 without a remainder.
1, 19, 103, 1957
Factors of 1961
List of positive integer factors of 1961 that divides 1961 without a remainder.
1, 37, 53, 1961
Least Common Multiple of 1957 and 1961 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 1961, than apply into the LCM equation.
GCF(1957,1961) = 1
LCM(1957,1961) = ( 1957 × 1961) / 1
LCM(1957,1961) = 3837677 / 1
LCM(1957,1961) = 3837677
Properties of LCM 1957 and 1961
(i) The LCM of 1961 and 1957 is associative
LCM of 1957 and 1961 = LCM of 1961 and 1957
Related Least Common Multiples of 1957
Related Least Common Multiples of 1961
Frequently Asked Questions on LCM of 1957 and 1961
1. What is the LCM of 1957 and 1961?
Answer: LCM of 1957 and 1961 is 3837677.
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 1961?
Answer: Factors of 1961 are 1, 37, 53, 1961. There are 4 integers that are factors of 1961. The greatest factor of 1961 is 1961.
4. How to Find the LCM of 1957 and 1961?
Answer:
Least Common Multiple of 1957 and 1961 = 3837677
Step 1: Find the prime factorization of 1957
1957 = 19 x 103
Step 2: Find the prime factorization of 1961
1961 = 37 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3837677 = 19 x 37 x 53 x 103
Step 4: Therefore, the least common multiple of 1957 and 1961 is 3837677.