Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6547 and 6551 the smallest integer that is 42889397 that is divisible by both numbers.
Least Common Multiple (LCM) of 6547 and 6551 is 42889397.
LCM(6547,6551) = 42889397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6547 and 6551. First we will calculate the prime factors of 6547 and 6551.
Prime Factorization of 6547
6547 | 6547 |
1 |
Prime factors of 6547 are 6547. Prime factorization of 6547 in exponential form is:
6547 = 65471
Prime Factorization of 6551
6551 | 6551 |
1 |
Prime factors of 6551 are 6551. Prime factorization of 6551 in exponential form is:
6551 = 65511
Now multiplying the highest exponent prime factors to calculate the LCM of 6547 and 6551.
LCM(6547,6551) = 65471×65511
LCM(6547,6551) = 42889397
Factors of 6547
List of positive integer factors of 6547 that divides 6547 without a remainder.
1, 6547
Factors of 6551
List of positive integer factors of 6551 that divides 6551 without a remainder.
1, 6551
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6547 and 6551, than apply into the LCM equation.
GCF(6547,6551) = 1
LCM(6547,6551) = ( 6547 × 6551) / 1
LCM(6547,6551) = 42889397 / 1
LCM(6547,6551) = 42889397
(i) The LCM of 6551 and 6547 is associative
LCM of 6547 and 6551 = LCM of 6551 and 6547
1. What is the LCM of 6547 and 6551?
Answer: LCM of 6547 and 6551 is 42889397.
2. What are the Factors of 6547?
Answer: Factors of 6547 are 1, 6547. There are 2 integers that are factors of 6547. The greatest factor of 6547 is 6547.
3. What are the Factors of 6551?
Answer: Factors of 6551 are 1, 6551. There are 2 integers that are factors of 6551. The greatest factor of 6551 is 6551.
4. How to Find the LCM of 6547 and 6551?
Answer:
Least Common Multiple of 6547 and 6551 = 42889397
Step 1: Find the prime factorization of 6547
6547 = 6547
Step 2: Find the prime factorization of 6551
6551 = 6551
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42889397 = 6547 x 6551
Step 4: Therefore, the least common multiple of 6547 and 6551 is 42889397.