Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6628 and 6635 the smallest integer that is 43976780 that is divisible by both numbers.
Least Common Multiple (LCM) of 6628 and 6635 is 43976780.
LCM(6628,6635) = 43976780
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 6628 and 6635. First we will calculate the prime factors of 6628 and 6635.
Prime Factorization of 6628
2 | 6628 |
2 | 3314 |
1657 | 1657 |
1 |
Prime factors of 6628 are 2,1657. Prime factorization of 6628 in exponential form is:
6628 = 22×16571
Prime Factorization of 6635
5 | 6635 |
1327 | 1327 |
1 |
Prime factors of 6635 are 5,1327. Prime factorization of 6635 in exponential form is:
6635 = 51×13271
Now multiplying the highest exponent prime factors to calculate the LCM of 6628 and 6635.
LCM(6628,6635) = 22×51×13271×16571
LCM(6628,6635) = 43976780
Factors of 6628
List of positive integer factors of 6628 that divides 6628 without a remainder.
1, 2, 4, 1657, 3314, 6628
Factors of 6635
List of positive integer factors of 6635 that divides 6635 without a remainder.
1, 5, 1327, 6635
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6628 and 6635, than apply into the LCM equation.
GCF(6628,6635) = 1
LCM(6628,6635) = ( 6628 × 6635) / 1
LCM(6628,6635) = 43976780 / 1
LCM(6628,6635) = 43976780
(i) The LCM of 6635 and 6628 is associative
LCM of 6628 and 6635 = LCM of 6635 and 6628
1. What is the LCM of 6628 and 6635?
Answer: LCM of 6628 and 6635 is 43976780.
2. What are the Factors of 6628?
Answer: Factors of 6628 are 1, 2, 4, 1657, 3314, 6628. There are 6 integers that are factors of 6628. The greatest factor of 6628 is 6628.
3. What are the Factors of 6635?
Answer: Factors of 6635 are 1, 5, 1327, 6635. There are 4 integers that are factors of 6635. The greatest factor of 6635 is 6635.
4. How to Find the LCM of 6628 and 6635?
Answer:
Least Common Multiple of 6628 and 6635 = 43976780
Step 1: Find the prime factorization of 6628
6628 = 2 x 2 x 1657
Step 2: Find the prime factorization of 6635
6635 = 5 x 1327
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43976780 = 2 x 2 x 5 x 1327 x 1657
Step 4: Therefore, the least common multiple of 6628 and 6635 is 43976780.