Least Common Multiple of 6951 and 6955
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6951 and 6955 the smallest integer that is 48344205 that is divisible by both numbers.
Least Common Multiple (LCM) of 6951 and 6955 is 48344205.
LCM(6951,6955) = 48344205
LCM of 6951 and 6955
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6951 and 6955 by Prime method
- Least Common Multiple of 6951 and 6955 with GCF Formula
LCM of 6951 and 6955 is 48344205
Least common multiple can be found by multiplying the highest exponent prime factors of 6951 and 6955. First we will calculate the prime factors of 6951 and 6955.
Prime Factorization of 6951
| 3 | 6951 |
| 7 | 2317 |
| 331 | 331 |
| 1 |
Prime factors of 6951 are 3, 7,331. Prime factorization of 6951 in exponential form is:
6951 = 31×71×3311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6951 and 6955.
LCM(6951,6955) = 31×51×71×131×1071×3311
LCM(6951,6955) = 48344205
Factors of 6951
List of positive integer factors of 6951 that divides 6951 without a remainder.
1, 3, 7, 21, 331, 993, 2317, 6951
Factors of 6955
List of positive integer factors of 6955 that divides 6955 without a remainder.
1, 5, 13, 65, 107, 535, 1391, 6955
Least Common Multiple of 6951 and 6955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6951 and 6955, than apply into the LCM equation.
GCF(6951,6955) = 1
LCM(6951,6955) = ( 6951 × 6955) / 1
LCM(6951,6955) = 48344205 / 1
LCM(6951,6955) = 48344205
Properties of LCM 6951 and 6955
(i) The LCM of 6955 and 6951 is associative
LCM of 6951 and 6955 = LCM of 6955 and 6951
Related Least Common Multiples of 6951
Related Least Common Multiples of 6955
Frequently Asked Questions on LCM of 6951 and 6955
1. What is the LCM of 6951 and 6955?
Answer: LCM of 6951 and 6955 is 48344205.
2. What are the Factors of 6951?
Answer: Factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951. There are 8 integers that are factors of 6951. The greatest factor of 6951 is 6951.
3. 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.
4. How to Find the LCM of 6951 and 6955?
Answer:
Least Common Multiple of 6951 and 6955 = 48344205
Step 1: Find the prime factorization of 6951
6951 = 3 x 7 x 331
Step 2: Find the prime factorization of 6955
6955 = 5 x 13 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48344205 = 3 x 5 x 7 x 13 x 107 x 331
Step 4: Therefore, the least common multiple of 6951 and 6955 is 48344205.