Least Common Multiple of 7493 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 7493 and 7500 the smallest integer that is 56197500 that is divisible by both numbers.

Least Common Multiple (LCM) of 7493 and 7500 is 56197500.

LCM(7493,7500) = 56197500

LCM of 7493 and 7500

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

LCM of:
and

Least Common Multiple of 7493 and 7500

LCM of 7493 and 7500 is 56197500

Least common multiple can be found by multiplying the highest exponent prime factors of 7493 and 7500. First we will calculate the prime factors of 7493 and 7500.

Prime Factorization of 7493


59 7493
127 127
1

Prime factors of 7493 are 59,127. Prime factorization of 7493 in exponential form is:

7493 = 591×1271

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 7493 and 7500.

LCM(7493,7500) = 22×31×54×591×1271
LCM(7493,7500) = 56197500

Factors of 7493

List of positive integer factors of 7493 that divides 7493 without a remainder.

1, 59, 127, 7493

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 7493 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 7493 and 7500, than apply into the LCM equation.

GCF(7493,7500) = 1
LCM(7493,7500) = ( 7493 × 7500) / 1
LCM(7493,7500) = 56197500 / 1
LCM(7493,7500) = 56197500

Properties of LCM 7493 and 7500

(i) The LCM of 7500 and 7493 is associative

LCM of 7493 and 7500 = LCM of 7500 and 7493

Related Least Common Multiples of 7493

Related Least Common Multiples of 7500

Frequently Asked Questions on LCM of 7493 and 7500

1. What is the LCM of 7493 and 7500?

Answer: LCM of 7493 and 7500 is 56197500.

2. What are the Factors of 7493?

Answer: Factors of 7493 are 1, 59, 127, 7493. There are 4 integers that are factors of 7493. The greatest factor of 7493 is 7493.

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 7493 and 7500?

Answer:

Least Common Multiple of 7493 and 7500 = 56197500

Step 1: Find the prime factorization of 7493

7493 = 59 x 127

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 = 56197500 = 2 x 2 x 3 x 5 x 5 x 5 x 5 x 59 x 127

Step 4: Therefore, the least common multiple of 7493 and 7500 is 56197500.