Least Common Multiple of 3955 and 3961
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3955 and 3961 the smallest integer that is 15665755 that is divisible by both numbers.
Least Common Multiple (LCM) of 3955 and 3961 is 15665755.
LCM(3955,3961) = 15665755
LCM of 3955 and 3961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3955 and 3961 by Prime method
- Least Common Multiple of 3955 and 3961 with GCF Formula
LCM of 3955 and 3961 is 15665755
Least common multiple can be found by multiplying the highest exponent prime factors of 3955 and 3961. First we will calculate the prime factors of 3955 and 3961.
Prime Factorization of 3955
| 5 | 3955 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 3955 are 5, 7,113. Prime factorization of 3955 in exponential form is:
3955 = 51×71×1131
Prime Factorization of 3961
| 17 | 3961 |
| 233 | 233 |
| 1 |
Prime factors of 3961 are 17,233. Prime factorization of 3961 in exponential form is:
3961 = 171×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 3955 and 3961.
LCM(3955,3961) = 51×71×171×1131×2331
LCM(3955,3961) = 15665755
Factors of 3955
List of positive integer factors of 3955 that divides 3955 without a remainder.
1, 5, 7, 35, 113, 565, 791, 3955
Factors of 3961
List of positive integer factors of 3961 that divides 3961 without a remainder.
1, 17, 233, 3961
Least Common Multiple of 3955 and 3961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3955 and 3961, than apply into the LCM equation.
GCF(3955,3961) = 1
LCM(3955,3961) = ( 3955 × 3961) / 1
LCM(3955,3961) = 15665755 / 1
LCM(3955,3961) = 15665755
Properties of LCM 3955 and 3961
(i) The LCM of 3961 and 3955 is associative
LCM of 3955 and 3961 = LCM of 3961 and 3955
Related Least Common Multiples of 3955
Related Least Common Multiples of 3961
Frequently Asked Questions on LCM of 3955 and 3961
1. What is the LCM of 3955 and 3961?
Answer: LCM of 3955 and 3961 is 15665755.
2. What are the Factors of 3955?
Answer: Factors of 3955 are 1, 5, 7, 35, 113, 565, 791, 3955. There are 8 integers that are factors of 3955. The greatest factor of 3955 is 3955.
3. What are the Factors of 3961?
Answer: Factors of 3961 are 1, 17, 233, 3961. There are 4 integers that are factors of 3961. The greatest factor of 3961 is 3961.
4. How to Find the LCM of 3955 and 3961?
Answer:
Least Common Multiple of 3955 and 3961 = 15665755
Step 1: Find the prime factorization of 3955
3955 = 5 x 7 x 113
Step 2: Find the prime factorization of 3961
3961 = 17 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15665755 = 5 x 7 x 17 x 113 x 233
Step 4: Therefore, the least common multiple of 3955 and 3961 is 15665755.