Least Common Multiple of 2645 and 2650

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 2650 the smallest integer that is 1401850 that is divisible by both numbers.

Least Common Multiple (LCM) of 2645 and 2650 is 1401850.

LCM(2645,2650) = 1401850

LCM of 2645 and 2650

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

LCM of:
and

Least Common Multiple of 2645 and 2650

LCM of 2645 and 2650 is 1401850

Least common multiple can be found by multiplying the highest exponent prime factors of 2645 and 2650. First we will calculate the prime factors of 2645 and 2650.

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 2650


2 2650
5 1325
5 265
53 53
1

Prime factors of 2650 are 2, 5,53. Prime factorization of 2650 in exponential form is:

2650 = 21×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2645 and 2650.

LCM(2645,2650) = 21×52×232×531
LCM(2645,2650) = 1401850

Factors of 2645

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

1, 5, 23, 115, 529, 2645

Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650

Least Common Multiple of 2645 and 2650 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 2650, than apply into the LCM equation.

GCF(2645,2650) = 5
LCM(2645,2650) = ( 2645 × 2650) / 5
LCM(2645,2650) = 7009250 / 5
LCM(2645,2650) = 1401850

Properties of LCM 2645 and 2650

(i) The LCM of 2650 and 2645 is associative

LCM of 2645 and 2650 = LCM of 2650 and 2645

Related Least Common Multiples of 2645

Related Least Common Multiples of 2650

Frequently Asked Questions on LCM of 2645 and 2650

1. What is the LCM of 2645 and 2650?

Answer: LCM of 2645 and 2650 is 1401850.

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 2650?

Answer: Factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650. There are 12 integers that are factors of 2650. The greatest factor of 2650 is 2650.

4. How to Find the LCM of 2645 and 2650?

Answer:

Least Common Multiple of 2645 and 2650 = 1401850

Step 1: Find the prime factorization of 2645

2645 = 5 x 23 x 23

Step 2: Find the prime factorization of 2650

2650 = 2 x 5 x 5 x 53

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

LCM = 1401850 = 2 x 5 x 5 x 23 x 23 x 53

Step 4: Therefore, the least common multiple of 2645 and 2650 is 1401850.