Least Common Multiple of 2492 and 2500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2492 and 2500 the smallest integer that is 1557500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2492 and 2500 is 1557500.

LCM(2492,2500) = 1557500

LCM of 2492 and 2500

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

LCM of:
and

Least Common Multiple of 2492 and 2500

LCM of 2492 and 2500 is 1557500

Least common multiple can be found by multiplying the highest exponent prime factors of 2492 and 2500. First we will calculate the prime factors of 2492 and 2500.

Prime Factorization of 2492


2 2492
2 1246
7 623
89 89
1

Prime factors of 2492 are 2, 7,89. Prime factorization of 2492 in exponential form is:

2492 = 22×71×891

Prime Factorization of 2500


2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 2500 are 2,5. Prime factorization of 2500 in exponential form is:

2500 = 22×54

Now multiplying the highest exponent prime factors to calculate the LCM of 2492 and 2500.

LCM(2492,2500) = 22×54×71×891
LCM(2492,2500) = 1557500

Factors of 2492

List of positive integer factors of 2492 that divides 2492 without a remainder.

1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500

Least Common Multiple of 2492 and 2500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2492 and 2500, than apply into the LCM equation.

GCF(2492,2500) = 4
LCM(2492,2500) = ( 2492 × 2500) / 4
LCM(2492,2500) = 6230000 / 4
LCM(2492,2500) = 1557500

Properties of LCM 2492 and 2500

(i) The LCM of 2500 and 2492 is associative

LCM of 2492 and 2500 = LCM of 2500 and 2492

Related Least Common Multiples of 2492

Related Least Common Multiples of 2500

Frequently Asked Questions on LCM of 2492 and 2500

1. What is the LCM of 2492 and 2500?

Answer: LCM of 2492 and 2500 is 1557500.

2. What are the Factors of 2492?

Answer: Factors of 2492 are 1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246, 2492. There are 12 integers that are factors of 2492. The greatest factor of 2492 is 2492.

3. What are the Factors of 2500?

Answer: Factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500. There are 15 integers that are factors of 2500. The greatest factor of 2500 is 2500.

4. How to Find the LCM of 2492 and 2500?

Answer:

Least Common Multiple of 2492 and 2500 = 1557500

Step 1: Find the prime factorization of 2492

2492 = 2 x 2 x 7 x 89

Step 2: Find the prime factorization of 2500

2500 = 2 x 2 x 5 x 5 x 5 x 5

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

LCM = 1557500 = 2 x 2 x 5 x 5 x 5 x 5 x 7 x 89

Step 4: Therefore, the least common multiple of 2492 and 2500 is 1557500.