Least Common Multiple of 1494 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 1494 and 1500 the smallest integer that is 373500 that is divisible by both numbers.

Least Common Multiple (LCM) of 1494 and 1500 is 373500.

LCM(1494,1500) = 373500

LCM of 1494 and 1500

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

LCM of:
and

Least Common Multiple of 1494 and 1500

LCM of 1494 and 1500 is 373500

Least common multiple can be found by multiplying the highest exponent prime factors of 1494 and 1500. First we will calculate the prime factors of 1494 and 1500.

Prime Factorization of 1494


2 1494
3 747
3 249
83 83
1

Prime factors of 1494 are 2, 3,83. Prime factorization of 1494 in exponential form is:

1494 = 21×32×831

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 1494 and 1500.

LCM(1494,1500) = 22×32×53×831
LCM(1494,1500) = 373500

Factors of 1494

List of positive integer factors of 1494 that divides 1494 without a remainder.

1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494

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 1494 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 1494 and 1500, than apply into the LCM equation.

GCF(1494,1500) = 6
LCM(1494,1500) = ( 1494 × 1500) / 6
LCM(1494,1500) = 2241000 / 6
LCM(1494,1500) = 373500

Properties of LCM 1494 and 1500

(i) The LCM of 1500 and 1494 is associative

LCM of 1494 and 1500 = LCM of 1500 and 1494

Related Least Common Multiples of 1494

Related Least Common Multiples of 1500

Frequently Asked Questions on LCM of 1494 and 1500

1. What is the LCM of 1494 and 1500?

Answer: LCM of 1494 and 1500 is 373500.

2. What are the Factors of 1494?

Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.

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 1494 and 1500?

Answer:

Least Common Multiple of 1494 and 1500 = 373500

Step 1: Find the prime factorization of 1494

1494 = 2 x 3 x 3 x 83

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 = 373500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 83

Step 4: Therefore, the least common multiple of 1494 and 1500 is 373500.