Least Common Multiple of 1500 and 1502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1500 and 1502 the smallest integer that is 1126500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1500 and 1502 is 1126500.

LCM(1500,1502) = 1126500

LCM of 1500 and 1502

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

LCM of:
and

Least Common Multiple of 1500 and 1502

LCM of 1500 and 1502 is 1126500

Least common multiple can be found by multiplying the highest exponent prime factors of 1500 and 1502. First we will calculate the prime factors of 1500 and 1502.

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

Prime Factorization of 1502


2 1502
751 751
1

Prime factors of 1502 are 2,751. Prime factorization of 1502 in exponential form is:

1502 = 21×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 1500 and 1502.

LCM(1500,1502) = 22×31×53×7511
LCM(1500,1502) = 1126500

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

Factors of 1502

List of positive integer factors of 1502 that divides 1502 without a remainder.

1, 2, 751, 1502

Least Common Multiple of 1500 and 1502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1500 and 1502, than apply into the LCM equation.

GCF(1500,1502) = 2
LCM(1500,1502) = ( 1500 × 1502) / 2
LCM(1500,1502) = 2253000 / 2
LCM(1500,1502) = 1126500

Properties of LCM 1500 and 1502

(i) The LCM of 1502 and 1500 is associative

LCM of 1500 and 1502 = LCM of 1502 and 1500

Related Least Common Multiples of 1500

Related Least Common Multiples of 1502

Frequently Asked Questions on LCM of 1500 and 1502

1. What is the LCM of 1500 and 1502?

Answer: LCM of 1500 and 1502 is 1126500.

2. 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.

3. What are the Factors of 1502?

Answer: Factors of 1502 are 1, 2, 751, 1502. There are 4 integers that are factors of 1502. The greatest factor of 1502 is 1502.

4. How to Find the LCM of 1500 and 1502?

Answer:

Least Common Multiple of 1500 and 1502 = 1126500

Step 1: Find the prime factorization of 1500

1500 = 2 x 2 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 1502

1502 = 2 x 751

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

LCM = 1126500 = 2 x 2 x 3 x 5 x 5 x 5 x 751

Step 4: Therefore, the least common multiple of 1500 and 1502 is 1126500.