Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2641 and 2647 the smallest integer that is 6990727 that is divisible by both numbers.
Least Common Multiple (LCM) of 2641 and 2647 is 6990727.
LCM(2641,2647) = 6990727
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 2641 and 2647. First we will calculate the prime factors of 2641 and 2647.
Prime Factorization of 2641
19 | 2641 |
139 | 139 |
1 |
Prime factors of 2641 are 19,139. Prime factorization of 2641 in exponential form is:
2641 = 191×1391
Prime Factorization of 2647
2647 | 2647 |
1 |
Prime factors of 2647 are 2647. Prime factorization of 2647 in exponential form is:
2647 = 26471
Now multiplying the highest exponent prime factors to calculate the LCM of 2641 and 2647.
LCM(2641,2647) = 191×1391×26471
LCM(2641,2647) = 6990727
Factors of 2641
List of positive integer factors of 2641 that divides 2641 without a remainder.
1, 19, 139, 2641
Factors of 2647
List of positive integer factors of 2647 that divides 2647 without a remainder.
1, 2647
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2641 and 2647, than apply into the LCM equation.
GCF(2641,2647) = 1
LCM(2641,2647) = ( 2641 × 2647) / 1
LCM(2641,2647) = 6990727 / 1
LCM(2641,2647) = 6990727
(i) The LCM of 2647 and 2641 is associative
LCM of 2641 and 2647 = LCM of 2647 and 2641
1. What is the LCM of 2641 and 2647?
Answer: LCM of 2641 and 2647 is 6990727.
2. What are the Factors of 2641?
Answer: Factors of 2641 are 1, 19, 139, 2641. There are 4 integers that are factors of 2641. The greatest factor of 2641 is 2641.
3. What are the Factors of 2647?
Answer: Factors of 2647 are 1, 2647. There are 2 integers that are factors of 2647. The greatest factor of 2647 is 2647.
4. How to Find the LCM of 2641 and 2647?
Answer:
Least Common Multiple of 2641 and 2647 = 6990727
Step 1: Find the prime factorization of 2641
2641 = 19 x 139
Step 2: Find the prime factorization of 2647
2647 = 2647
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6990727 = 19 x 139 x 2647
Step 4: Therefore, the least common multiple of 2641 and 2647 is 6990727.