Least Common Multiple of 2645 and 2652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2645 and 2652 the smallest integer that is 7014540 that is divisible by both numbers.

Least Common Multiple (LCM) of 2645 and 2652 is 7014540.

LCM(2645,2652) = 7014540

LCM of 2645 and 2652

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

LCM of:
and

Least Common Multiple of 2645 and 2652

LCM of 2645 and 2652 is 7014540

Least common multiple can be found by multiplying the highest exponent prime factors of 2645 and 2652. First we will calculate the prime factors of 2645 and 2652.

Prime Factorization of 2645


5 2645
23 529
23 23
1

Prime factors of 2645 are 5,23. Prime factorization of 2645 in exponential form is:

2645 = 51×232

Prime Factorization of 2652


2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 2652 are 2, 3, 13,17. Prime factorization of 2652 in exponential form is:

2652 = 22×31×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2645 and 2652.

LCM(2645,2652) = 22×31×51×131×171×232
LCM(2645,2652) = 7014540

Factors of 2645

List of positive integer factors of 2645 that divides 2645 without a remainder.

1, 5, 23, 115, 529, 2645

Factors of 2652

List of positive integer factors of 2652 that divides 2652 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652

Least Common Multiple of 2645 and 2652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2645 and 2652, than apply into the LCM equation.

GCF(2645,2652) = 1
LCM(2645,2652) = ( 2645 × 2652) / 1
LCM(2645,2652) = 7014540 / 1
LCM(2645,2652) = 7014540

Properties of LCM 2645 and 2652

(i) The LCM of 2652 and 2645 is associative

LCM of 2645 and 2652 = LCM of 2652 and 2645

Related Least Common Multiples of 2645

Related Least Common Multiples of 2652

Frequently Asked Questions on LCM of 2645 and 2652

1. What is the LCM of 2645 and 2652?

Answer: LCM of 2645 and 2652 is 7014540.

2. What are the Factors of 2645?

Answer: Factors of 2645 are 1, 5, 23, 115, 529, 2645. There are 6 integers that are factors of 2645. The greatest factor of 2645 is 2645.

3. What are the Factors of 2652?

Answer: Factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652. There are 24 integers that are factors of 2652. The greatest factor of 2652 is 2652.

4. How to Find the LCM of 2645 and 2652?

Answer:

Least Common Multiple of 2645 and 2652 = 7014540

Step 1: Find the prime factorization of 2645

2645 = 5 x 23 x 23

Step 2: Find the prime factorization of 2652

2652 = 2 x 2 x 3 x 13 x 17

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

LCM = 7014540 = 2 x 2 x 3 x 5 x 13 x 17 x 23 x 23

Step 4: Therefore, the least common multiple of 2645 and 2652 is 7014540.