Least Common Multiple of 6954 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 6954 and 6959 the smallest integer that is 48392886 that is divisible by both numbers.
Least Common Multiple (LCM) of 6954 and 6959 is 48392886.
LCM(6954,6959) = 48392886
LCM of 6954 and 6959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6954 and 6959 by Prime method
- Least Common Multiple of 6954 and 6959 with GCF Formula
LCM of 6954 and 6959 is 48392886
Least common multiple can be found by multiplying the highest exponent prime factors of 6954 and 6959. First we will calculate the prime factors of 6954 and 6959.
Prime Factorization of 6954
| 2 | 6954 |
| 3 | 3477 |
| 19 | 1159 |
| 61 | 61 |
| 1 |
Prime factors of 6954 are 2, 3, 19,61. Prime factorization of 6954 in exponential form is:
6954 = 21×31×191×611
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 6954 and 6959.
LCM(6954,6959) = 21×31×191×611×69591
LCM(6954,6959) = 48392886
Factors of 6954
List of positive integer factors of 6954 that divides 6954 without a remainder.
1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954
Factors of 6959
List of positive integer factors of 6959 that divides 6959 without a remainder.
1, 6959
Least Common Multiple of 6954 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 6954 and 6959, than apply into the LCM equation.
GCF(6954,6959) = 1
LCM(6954,6959) = ( 6954 × 6959) / 1
LCM(6954,6959) = 48392886 / 1
LCM(6954,6959) = 48392886
Properties of LCM 6954 and 6959
(i) The LCM of 6959 and 6954 is associative
LCM of 6954 and 6959 = LCM of 6959 and 6954
Related Least Common Multiples of 6954
Related Least Common Multiples of 6959
Frequently Asked Questions on LCM of 6954 and 6959
1. What is the LCM of 6954 and 6959?
Answer: LCM of 6954 and 6959 is 48392886.
2. What are the Factors of 6954?
Answer: Factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954. There are 16 integers that are factors of 6954. The greatest factor of 6954 is 6954.
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 6954 and 6959?
Answer:
Least Common Multiple of 6954 and 6959 = 48392886
Step 1: Find the prime factorization of 6954
6954 = 2 x 3 x 19 x 61
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 = 48392886 = 2 x 3 x 19 x 61 x 6959
Step 4: Therefore, the least common multiple of 6954 and 6959 is 48392886.