Least Common Multiple of 1500 and 1501

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 1501 the smallest integer that is 2251500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1500 and 1501 is 2251500.

LCM(1500,1501) = 2251500

LCM of 1500 and 1501

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

LCM of:
and

Least Common Multiple of 1500 and 1501

LCM of 1500 and 1501 is 2251500

Least common multiple can be found by multiplying the highest exponent prime factors of 1500 and 1501. First we will calculate the prime factors of 1500 and 1501.

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 1501


19 1501
79 79
1

Prime factors of 1501 are 19,79. Prime factorization of 1501 in exponential form is:

1501 = 191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 1500 and 1501.

LCM(1500,1501) = 22×31×53×191×791
LCM(1500,1501) = 2251500

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 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1, 19, 79, 1501

Least Common Multiple of 1500 and 1501 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 1501, than apply into the LCM equation.

GCF(1500,1501) = 1
LCM(1500,1501) = ( 1500 × 1501) / 1
LCM(1500,1501) = 2251500 / 1
LCM(1500,1501) = 2251500

Properties of LCM 1500 and 1501

(i) The LCM of 1501 and 1500 is associative

LCM of 1500 and 1501 = LCM of 1501 and 1500

Related Least Common Multiples of 1500

Related Least Common Multiples of 1501

Frequently Asked Questions on LCM of 1500 and 1501

1. What is the LCM of 1500 and 1501?

Answer: LCM of 1500 and 1501 is 2251500.

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 1501?

Answer: Factors of 1501 are 1, 19, 79, 1501. There are 4 integers that are factors of 1501. The greatest factor of 1501 is 1501.

4. How to Find the LCM of 1500 and 1501?

Answer:

Least Common Multiple of 1500 and 1501 = 2251500

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 1501

1501 = 19 x 79

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

LCM = 2251500 = 2 x 2 x 3 x 5 x 5 x 5 x 19 x 79

Step 4: Therefore, the least common multiple of 1500 and 1501 is 2251500.