Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2613 and 2617 the smallest integer that is 6838221 that is divisible by both numbers.
Least Common Multiple (LCM) of 2613 and 2617 is 6838221.
LCM(2613,2617) = 6838221
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 2613 and 2617. First we will calculate the prime factors of 2613 and 2617.
Prime Factorization of 2613
3 | 2613 |
13 | 871 |
67 | 67 |
1 |
Prime factors of 2613 are 3, 13,67. Prime factorization of 2613 in exponential form is:
2613 = 31×131×671
Prime Factorization of 2617
2617 | 2617 |
1 |
Prime factors of 2617 are 2617. Prime factorization of 2617 in exponential form is:
2617 = 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2617.
LCM(2613,2617) = 31×131×671×26171
LCM(2613,2617) = 6838221
Factors of 2613
List of positive integer factors of 2613 that divides 2613 without a remainder.
1, 3, 13, 39, 67, 201, 871, 2613
Factors of 2617
List of positive integer factors of 2617 that divides 2617 without a remainder.
1, 2617
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2617, than apply into the LCM equation.
GCF(2613,2617) = 1
LCM(2613,2617) = ( 2613 × 2617) / 1
LCM(2613,2617) = 6838221 / 1
LCM(2613,2617) = 6838221
(i) The LCM of 2617 and 2613 is associative
LCM of 2613 and 2617 = LCM of 2617 and 2613
1. What is the LCM of 2613 and 2617?
Answer: LCM of 2613 and 2617 is 6838221.
2. What are the Factors of 2613?
Answer: Factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613. There are 8 integers that are factors of 2613. The greatest factor of 2613 is 2613.
3. What are the Factors of 2617?
Answer: Factors of 2617 are 1, 2617. There are 2 integers that are factors of 2617. The greatest factor of 2617 is 2617.
4. How to Find the LCM of 2613 and 2617?
Answer:
Least Common Multiple of 2613 and 2617 = 6838221
Step 1: Find the prime factorization of 2613
2613 = 3 x 13 x 67
Step 2: Find the prime factorization of 2617
2617 = 2617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6838221 = 3 x 13 x 67 x 2617
Step 4: Therefore, the least common multiple of 2613 and 2617 is 6838221.