Least Common Multiple of 2613 and 2620

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 2620 the smallest integer that is 6846060 that is divisible by both numbers.

Least Common Multiple (LCM) of 2613 and 2620 is 6846060.

LCM(2613,2620) = 6846060

LCM of 2613 and 2620

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2613 and 2620

LCM of 2613 and 2620 is 6846060

Least common multiple can be found by multiplying the highest exponent prime factors of 2613 and 2620. First we will calculate the prime factors of 2613 and 2620.

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 2620


2 2620
2 1310
5 655
131 131
1

Prime factors of 2620 are 2, 5,131. Prime factorization of 2620 in exponential form is:

2620 = 22×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2620.

LCM(2613,2620) = 22×31×51×131×671×1311
LCM(2613,2620) = 6846060

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 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620

Least Common Multiple of 2613 and 2620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2620, than apply into the LCM equation.

GCF(2613,2620) = 1
LCM(2613,2620) = ( 2613 × 2620) / 1
LCM(2613,2620) = 6846060 / 1
LCM(2613,2620) = 6846060

Properties of LCM 2613 and 2620

(i) The LCM of 2620 and 2613 is associative

LCM of 2613 and 2620 = LCM of 2620 and 2613

Related Least Common Multiples of 2613

Related Least Common Multiples of 2620

Frequently Asked Questions on LCM of 2613 and 2620

1. What is the LCM of 2613 and 2620?

Answer: LCM of 2613 and 2620 is 6846060.

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 2620?

Answer: Factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. There are 12 integers that are factors of 2620. The greatest factor of 2620 is 2620.

4. How to Find the LCM of 2613 and 2620?

Answer:

Least Common Multiple of 2613 and 2620 = 6846060

Step 1: Find the prime factorization of 2613

2613 = 3 x 13 x 67

Step 2: Find the prime factorization of 2620

2620 = 2 x 2 x 5 x 131

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6846060 = 2 x 2 x 3 x 5 x 13 x 67 x 131

Step 4: Therefore, the least common multiple of 2613 and 2620 is 6846060.