Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2615 and 2621 the smallest integer that is 6853915 that is divisible by both numbers.
Least Common Multiple (LCM) of 2615 and 2621 is 6853915.
LCM(2615,2621) = 6853915
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 2615 and 2621. First we will calculate the prime factors of 2615 and 2621.
Prime Factorization of 2615
5 | 2615 |
523 | 523 |
1 |
Prime factors of 2615 are 5,523. Prime factorization of 2615 in exponential form is:
2615 = 51×5231
Prime Factorization of 2621
2621 | 2621 |
1 |
Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:
2621 = 26211
Now multiplying the highest exponent prime factors to calculate the LCM of 2615 and 2621.
LCM(2615,2621) = 51×5231×26211
LCM(2615,2621) = 6853915
Factors of 2615
List of positive integer factors of 2615 that divides 2615 without a remainder.
1, 5, 523, 2615
Factors of 2621
List of positive integer factors of 2621 that divides 2621 without a remainder.
1, 2621
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2615 and 2621, than apply into the LCM equation.
GCF(2615,2621) = 1
LCM(2615,2621) = ( 2615 × 2621) / 1
LCM(2615,2621) = 6853915 / 1
LCM(2615,2621) = 6853915
(i) The LCM of 2621 and 2615 is associative
LCM of 2615 and 2621 = LCM of 2621 and 2615
1. What is the LCM of 2615 and 2621?
Answer: LCM of 2615 and 2621 is 6853915.
2. What are the Factors of 2615?
Answer: Factors of 2615 are 1, 5, 523, 2615. There are 4 integers that are factors of 2615. The greatest factor of 2615 is 2615.
3. What are the Factors of 2621?
Answer: Factors of 2621 are 1, 2621. There are 2 integers that are factors of 2621. The greatest factor of 2621 is 2621.
4. How to Find the LCM of 2615 and 2621?
Answer:
Least Common Multiple of 2615 and 2621 = 6853915
Step 1: Find the prime factorization of 2615
2615 = 5 x 523
Step 2: Find the prime factorization of 2621
2621 = 2621
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6853915 = 5 x 523 x 2621
Step 4: Therefore, the least common multiple of 2615 and 2621 is 6853915.