Least Common Multiple of 7492 and 7500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7492 and 7500 the smallest integer that is 14047500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7492 and 7500 is 14047500.

LCM(7492,7500) = 14047500

LCM of 7492 and 7500

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

LCM of:
and

Least Common Multiple of 7492 and 7500

LCM of 7492 and 7500 is 14047500

Least common multiple can be found by multiplying the highest exponent prime factors of 7492 and 7500. First we will calculate the prime factors of 7492 and 7500.

Prime Factorization of 7492


2 7492
2 3746
1873 1873
1

Prime factors of 7492 are 2,1873. Prime factorization of 7492 in exponential form is:

7492 = 22×18731

Prime Factorization of 7500


2 7500
2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 7500 are 2, 3,5. Prime factorization of 7500 in exponential form is:

7500 = 22×31×54

Now multiplying the highest exponent prime factors to calculate the LCM of 7492 and 7500.

LCM(7492,7500) = 22×31×54×18731
LCM(7492,7500) = 14047500

Factors of 7492

List of positive integer factors of 7492 that divides 7492 without a remainder.

1, 2, 4, 1873, 3746, 7492

Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500

Least Common Multiple of 7492 and 7500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7492 and 7500, than apply into the LCM equation.

GCF(7492,7500) = 4
LCM(7492,7500) = ( 7492 × 7500) / 4
LCM(7492,7500) = 56190000 / 4
LCM(7492,7500) = 14047500

Properties of LCM 7492 and 7500

(i) The LCM of 7500 and 7492 is associative

LCM of 7492 and 7500 = LCM of 7500 and 7492

Related Least Common Multiples of 7492

Related Least Common Multiples of 7500

Frequently Asked Questions on LCM of 7492 and 7500

1. What is the LCM of 7492 and 7500?

Answer: LCM of 7492 and 7500 is 14047500.

2. What are the Factors of 7492?

Answer: Factors of 7492 are 1, 2, 4, 1873, 3746, 7492. There are 6 integers that are factors of 7492. The greatest factor of 7492 is 7492.

3. What are the Factors of 7500?

Answer: Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. There are 30 integers that are factors of 7500. The greatest factor of 7500 is 7500.

4. How to Find the LCM of 7492 and 7500?

Answer:

Least Common Multiple of 7492 and 7500 = 14047500

Step 1: Find the prime factorization of 7492

7492 = 2 x 2 x 1873

Step 2: Find the prime factorization of 7500

7500 = 2 x 2 x 3 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 = 14047500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 1873

Step 4: Therefore, the least common multiple of 7492 and 7500 is 14047500.