Least Common Multiple of 6955 and 6961
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6955 and 6961 the smallest integer that is 48413755 that is divisible by both numbers.
Least Common Multiple (LCM) of 6955 and 6961 is 48413755.
LCM(6955,6961) = 48413755
LCM of 6955 and 6961
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6955 and 6961 by Prime method
- Least Common Multiple of 6955 and 6961 with GCF Formula
LCM of 6955 and 6961 is 48413755
Least common multiple can be found by multiplying the highest exponent prime factors of 6955 and 6961. First we will calculate the prime factors of 6955 and 6961.
Prime Factorization of 6955
| 5 | 6955 |
| 13 | 1391 |
| 107 | 107 |
| 1 |
Prime factors of 6955 are 5, 13,107. Prime factorization of 6955 in exponential form is:
6955 = 51×131×1071
Prime Factorization of 6961
| 6961 | 6961 |
| 1 |
Prime factors of 6961 are 6961. Prime factorization of 6961 in exponential form is:
6961 = 69611
Now multiplying the highest exponent prime factors to calculate the LCM of 6955 and 6961.
LCM(6955,6961) = 51×131×1071×69611
LCM(6955,6961) = 48413755
Factors of 6955
List of positive integer factors of 6955 that divides 6955 without a remainder.
1, 5, 13, 65, 107, 535, 1391, 6955
Factors of 6961
List of positive integer factors of 6961 that divides 6961 without a remainder.
1, 6961
Least Common Multiple of 6955 and 6961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6955 and 6961, than apply into the LCM equation.
GCF(6955,6961) = 1
LCM(6955,6961) = ( 6955 × 6961) / 1
LCM(6955,6961) = 48413755 / 1
LCM(6955,6961) = 48413755
Properties of LCM 6955 and 6961
(i) The LCM of 6961 and 6955 is associative
LCM of 6955 and 6961 = LCM of 6961 and 6955
Related Least Common Multiples of 6955
Related Least Common Multiples of 6961
Frequently Asked Questions on LCM of 6955 and 6961
1. What is the LCM of 6955 and 6961?
Answer: LCM of 6955 and 6961 is 48413755.
2. What are the Factors of 6955?
Answer: Factors of 6955 are 1, 5, 13, 65, 107, 535, 1391, 6955. There are 8 integers that are factors of 6955. The greatest factor of 6955 is 6955.
3. What are the Factors of 6961?
Answer: Factors of 6961 are 1, 6961. There are 2 integers that are factors of 6961. The greatest factor of 6961 is 6961.
4. How to Find the LCM of 6955 and 6961?
Answer:
Least Common Multiple of 6955 and 6961 = 48413755
Step 1: Find the prime factorization of 6955
6955 = 5 x 13 x 107
Step 2: Find the prime factorization of 6961
6961 = 6961
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48413755 = 5 x 13 x 107 x 6961
Step 4: Therefore, the least common multiple of 6955 and 6961 is 48413755.