Least Common Multiple of 1957 and 1963
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 1963 the smallest integer that is 3841591 that is divisible by both numbers.
Least Common Multiple (LCM) of 1957 and 1963 is 3841591.
LCM(1957,1963) = 3841591
LCM of 1957 and 1963
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1957 and 1963 by Prime method
- Least Common Multiple of 1957 and 1963 with GCF Formula
LCM of 1957 and 1963 is 3841591
Least common multiple can be found by multiplying the highest exponent prime factors of 1957 and 1963. First we will calculate the prime factors of 1957 and 1963.
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 1963
| 13 | 1963 |
| 151 | 151 |
| 1 |
Prime factors of 1963 are 13,151. Prime factorization of 1963 in exponential form is:
1963 = 131×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 1957 and 1963.
LCM(1957,1963) = 131×191×1031×1511
LCM(1957,1963) = 3841591
Factors of 1957
List of positive integer factors of 1957 that divides 1957 without a remainder.
1, 19, 103, 1957
Factors of 1963
List of positive integer factors of 1963 that divides 1963 without a remainder.
1, 13, 151, 1963
Least Common Multiple of 1957 and 1963 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 1963, than apply into the LCM equation.
GCF(1957,1963) = 1
LCM(1957,1963) = ( 1957 × 1963) / 1
LCM(1957,1963) = 3841591 / 1
LCM(1957,1963) = 3841591
Properties of LCM 1957 and 1963
(i) The LCM of 1963 and 1957 is associative
LCM of 1957 and 1963 = LCM of 1963 and 1957
Related Least Common Multiples of 1957
Related Least Common Multiples of 1963
Frequently Asked Questions on LCM of 1957 and 1963
1. What is the LCM of 1957 and 1963?
Answer: LCM of 1957 and 1963 is 3841591.
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 1963?
Answer: Factors of 1963 are 1, 13, 151, 1963. There are 4 integers that are factors of 1963. The greatest factor of 1963 is 1963.
4. How to Find the LCM of 1957 and 1963?
Answer:
Least Common Multiple of 1957 and 1963 = 3841591
Step 1: Find the prime factorization of 1957
1957 = 19 x 103
Step 2: Find the prime factorization of 1963
1963 = 13 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3841591 = 13 x 19 x 103 x 151
Step 4: Therefore, the least common multiple of 1957 and 1963 is 3841591.