Least Common Multiple of 1955 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 1955 and 1961 the smallest integer that is 3833755 that is divisible by both numbers.
Least Common Multiple (LCM) of 1955 and 1961 is 3833755.
LCM(1955,1961) = 3833755
LCM of 1955 and 1961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1955 and 1961 by Prime method
- Least Common Multiple of 1955 and 1961 with GCF Formula
LCM of 1955 and 1961 is 3833755
Least common multiple can be found by multiplying the highest exponent prime factors of 1955 and 1961. First we will calculate the prime factors of 1955 and 1961.
Prime Factorization of 1955
| 5 | 1955 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 1955 are 5, 17,23. Prime factorization of 1955 in exponential form is:
1955 = 51×171×231
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 1955 and 1961.
LCM(1955,1961) = 51×171×231×371×531
LCM(1955,1961) = 3833755
Factors of 1955
List of positive integer factors of 1955 that divides 1955 without a remainder.
1, 5, 17, 23, 85, 115, 391, 1955
Factors of 1961
List of positive integer factors of 1961 that divides 1961 without a remainder.
1, 37, 53, 1961
Least Common Multiple of 1955 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 1955 and 1961, than apply into the LCM equation.
GCF(1955,1961) = 1
LCM(1955,1961) = ( 1955 × 1961) / 1
LCM(1955,1961) = 3833755 / 1
LCM(1955,1961) = 3833755
Properties of LCM 1955 and 1961
(i) The LCM of 1961 and 1955 is associative
LCM of 1955 and 1961 = LCM of 1961 and 1955
Related Least Common Multiples of 1955
Related Least Common Multiples of 1961
Frequently Asked Questions on LCM of 1955 and 1961
1. What is the LCM of 1955 and 1961?
Answer: LCM of 1955 and 1961 is 3833755.
2. What are the Factors of 1955?
Answer: Factors of 1955 are 1, 5, 17, 23, 85, 115, 391, 1955. There are 8 integers that are factors of 1955. The greatest factor of 1955 is 1955.
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 1955 and 1961?
Answer:
Least Common Multiple of 1955 and 1961 = 3833755
Step 1: Find the prime factorization of 1955
1955 = 5 x 17 x 23
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 = 3833755 = 5 x 17 x 23 x 37 x 53
Step 4: Therefore, the least common multiple of 1955 and 1961 is 3833755.