Least Common Multiple of 1493 and 1500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1493 and 1500 the smallest integer that is 2239500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1493 and 1500 is 2239500.

LCM(1493,1500) = 2239500

LCM of 1493 and 1500

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

LCM of:
and

Least Common Multiple of 1493 and 1500

LCM of 1493 and 1500 is 2239500

Least common multiple can be found by multiplying the highest exponent prime factors of 1493 and 1500. First we will calculate the prime factors of 1493 and 1500.

Prime Factorization of 1493


1493 1493
1

Prime factors of 1493 are 1493. Prime factorization of 1493 in exponential form is:

1493 = 14931

Prime Factorization of 1500


2 1500
2 750
3 375
5 125
5 25
5 5
1

Prime factors of 1500 are 2, 3,5. Prime factorization of 1500 in exponential form is:

1500 = 22×31×53

Now multiplying the highest exponent prime factors to calculate the LCM of 1493 and 1500.

LCM(1493,1500) = 22×31×53×14931
LCM(1493,1500) = 2239500

Factors of 1493

List of positive integer factors of 1493 that divides 1493 without a remainder.

1, 1493

Factors of 1500

List of positive integer factors of 1500 that divides 1500 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, 750, 1500

Least Common Multiple of 1493 and 1500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1493 and 1500, than apply into the LCM equation.

GCF(1493,1500) = 1
LCM(1493,1500) = ( 1493 × 1500) / 1
LCM(1493,1500) = 2239500 / 1
LCM(1493,1500) = 2239500

Properties of LCM 1493 and 1500

(i) The LCM of 1500 and 1493 is associative

LCM of 1493 and 1500 = LCM of 1500 and 1493

Related Least Common Multiples of 1493

Related Least Common Multiples of 1500

Frequently Asked Questions on LCM of 1493 and 1500

1. What is the LCM of 1493 and 1500?

Answer: LCM of 1493 and 1500 is 2239500.

2. What are the Factors of 1493?

Answer: Factors of 1493 are 1, 1493. There are 2 integers that are factors of 1493. The greatest factor of 1493 is 1493.

3. What are the Factors of 1500?

Answer: Factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. There are 24 integers that are factors of 1500. The greatest factor of 1500 is 1500.

4. How to Find the LCM of 1493 and 1500?

Answer:

Least Common Multiple of 1493 and 1500 = 2239500

Step 1: Find the prime factorization of 1493

1493 = 1493

Step 2: Find the prime factorization of 1500

1500 = 2 x 2 x 3 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 = 2239500 = 2 x 2 x 3 x 5 x 5 x 5 x 1493

Step 4: Therefore, the least common multiple of 1493 and 1500 is 2239500.