Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6551 and 6558 the smallest integer that is 42961458 that is divisible by both numbers.
Least Common Multiple (LCM) of 6551 and 6558 is 42961458.
LCM(6551,6558) = 42961458
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 6551 and 6558. First we will calculate the prime factors of 6551 and 6558.
Prime Factorization of 6551
6551 | 6551 |
1 |
Prime factors of 6551 are 6551. Prime factorization of 6551 in exponential form is:
6551 = 65511
Prime Factorization of 6558
2 | 6558 |
3 | 3279 |
1093 | 1093 |
1 |
Prime factors of 6558 are 2, 3,1093. Prime factorization of 6558 in exponential form is:
6558 = 21×31×10931
Now multiplying the highest exponent prime factors to calculate the LCM of 6551 and 6558.
LCM(6551,6558) = 21×31×10931×65511
LCM(6551,6558) = 42961458
Factors of 6551
List of positive integer factors of 6551 that divides 6551 without a remainder.
1, 6551
Factors of 6558
List of positive integer factors of 6558 that divides 6558 without a remainder.
1, 2, 3, 6, 1093, 2186, 3279, 6558
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6551 and 6558, than apply into the LCM equation.
GCF(6551,6558) = 1
LCM(6551,6558) = ( 6551 × 6558) / 1
LCM(6551,6558) = 42961458 / 1
LCM(6551,6558) = 42961458
(i) The LCM of 6558 and 6551 is associative
LCM of 6551 and 6558 = LCM of 6558 and 6551
1. What is the LCM of 6551 and 6558?
Answer: LCM of 6551 and 6558 is 42961458.
2. 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.
3. What are the Factors of 6558?
Answer: Factors of 6558 are 1, 2, 3, 6, 1093, 2186, 3279, 6558. There are 8 integers that are factors of 6558. The greatest factor of 6558 is 6558.
4. How to Find the LCM of 6551 and 6558?
Answer:
Least Common Multiple of 6551 and 6558 = 42961458
Step 1: Find the prime factorization of 6551
6551 = 6551
Step 2: Find the prime factorization of 6558
6558 = 2 x 3 x 1093
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42961458 = 2 x 3 x 1093 x 6551
Step 4: Therefore, the least common multiple of 6551 and 6558 is 42961458.