Least Common Multiple of 7495 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 7495 and 7500 the smallest integer that is 11242500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7495 and 7500 is 11242500.

LCM(7495,7500) = 11242500

LCM of 7495 and 7500

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

LCM of:
and

Least Common Multiple of 7495 and 7500

LCM of 7495 and 7500 is 11242500

Least common multiple can be found by multiplying the highest exponent prime factors of 7495 and 7500. First we will calculate the prime factors of 7495 and 7500.

Prime Factorization of 7495


5 7495
1499 1499
1

Prime factors of 7495 are 5,1499. Prime factorization of 7495 in exponential form is:

7495 = 51×14991

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 7495 and 7500.

LCM(7495,7500) = 22×31×54×14991
LCM(7495,7500) = 11242500

Factors of 7495

List of positive integer factors of 7495 that divides 7495 without a remainder.

1, 5, 1499, 7495

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 7495 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 7495 and 7500, than apply into the LCM equation.

GCF(7495,7500) = 5
LCM(7495,7500) = ( 7495 × 7500) / 5
LCM(7495,7500) = 56212500 / 5
LCM(7495,7500) = 11242500

Properties of LCM 7495 and 7500

(i) The LCM of 7500 and 7495 is associative

LCM of 7495 and 7500 = LCM of 7500 and 7495

Related Least Common Multiples of 7495

Related Least Common Multiples of 7500

Frequently Asked Questions on LCM of 7495 and 7500

1. What is the LCM of 7495 and 7500?

Answer: LCM of 7495 and 7500 is 11242500.

2. What are the Factors of 7495?

Answer: Factors of 7495 are 1, 5, 1499, 7495. There are 4 integers that are factors of 7495. The greatest factor of 7495 is 7495.

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 7495 and 7500?

Answer:

Least Common Multiple of 7495 and 7500 = 11242500

Step 1: Find the prime factorization of 7495

7495 = 5 x 1499

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 = 11242500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 1499

Step 4: Therefore, the least common multiple of 7495 and 7500 is 11242500.