Least Common Multiple of 6955 and 6959
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 6959 the smallest integer that is 48399845 that is divisible by both numbers.
Least Common Multiple (LCM) of 6955 and 6959 is 48399845.
LCM(6955,6959) = 48399845
LCM of 6955 and 6959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6955 and 6959 by Prime method
- Least Common Multiple of 6955 and 6959 with GCF Formula
LCM of 6955 and 6959 is 48399845
Least common multiple can be found by multiplying the highest exponent prime factors of 6955 and 6959. First we will calculate the prime factors of 6955 and 6959.
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 6959
| 6959 | 6959 |
| 1 |
Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:
6959 = 69591
Now multiplying the highest exponent prime factors to calculate the LCM of 6955 and 6959.
LCM(6955,6959) = 51×131×1071×69591
LCM(6955,6959) = 48399845
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 6959
List of positive integer factors of 6959 that divides 6959 without a remainder.
1, 6959
Least Common Multiple of 6955 and 6959 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 6959, than apply into the LCM equation.
GCF(6955,6959) = 1
LCM(6955,6959) = ( 6955 × 6959) / 1
LCM(6955,6959) = 48399845 / 1
LCM(6955,6959) = 48399845
Properties of LCM 6955 and 6959
(i) The LCM of 6959 and 6955 is associative
LCM of 6955 and 6959 = LCM of 6959 and 6955
Related Least Common Multiples of 6955
Related Least Common Multiples of 6959
Frequently Asked Questions on LCM of 6955 and 6959
1. What is the LCM of 6955 and 6959?
Answer: LCM of 6955 and 6959 is 48399845.
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 6959?
Answer: Factors of 6959 are 1, 6959. There are 2 integers that are factors of 6959. The greatest factor of 6959 is 6959.
4. How to Find the LCM of 6955 and 6959?
Answer:
Least Common Multiple of 6955 and 6959 = 48399845
Step 1: Find the prime factorization of 6955
6955 = 5 x 13 x 107
Step 2: Find the prime factorization of 6959
6959 = 6959
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48399845 = 5 x 13 x 107 x 6959
Step 4: Therefore, the least common multiple of 6955 and 6959 is 48399845.