Least Common Multiple of 1489 and 1493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1489 and 1493 the smallest integer that is 2223077 that is divisible by both numbers.

Least Common Multiple (LCM) of 1489 and 1493 is 2223077.

LCM(1489,1493) = 2223077

LCM of 1489 and 1493

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

LCM of:
and

Least Common Multiple of 1489 and 1493

LCM of 1489 and 1493 is 2223077

Least common multiple can be found by multiplying the highest exponent prime factors of 1489 and 1493. First we will calculate the prime factors of 1489 and 1493.

Prime Factorization of 1489


1489 1489
1

Prime factors of 1489 are 1489. Prime factorization of 1489 in exponential form is:

1489 = 14891

Prime Factorization of 1493


1493 1493
1

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

1493 = 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 1489 and 1493.

LCM(1489,1493) = 14891×14931
LCM(1489,1493) = 2223077

Factors of 1489

List of positive integer factors of 1489 that divides 1489 without a remainder.

1, 1489

Factors of 1493

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

1, 1493

Least Common Multiple of 1489 and 1493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1489 and 1493, than apply into the LCM equation.

GCF(1489,1493) = 1
LCM(1489,1493) = ( 1489 × 1493) / 1
LCM(1489,1493) = 2223077 / 1
LCM(1489,1493) = 2223077

Properties of LCM 1489 and 1493

(i) The LCM of 1493 and 1489 is associative

LCM of 1489 and 1493 = LCM of 1493 and 1489

Related Least Common Multiples of 1489

Related Least Common Multiples of 1493

Frequently Asked Questions on LCM of 1489 and 1493

1. What is the LCM of 1489 and 1493?

Answer: LCM of 1489 and 1493 is 2223077.

2. What are the Factors of 1489?

Answer: Factors of 1489 are 1, 1489. There are 2 integers that are factors of 1489. The greatest factor of 1489 is 1489.

3. 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.

4. How to Find the LCM of 1489 and 1493?

Answer:

Least Common Multiple of 1489 and 1493 = 2223077

Step 1: Find the prime factorization of 1489

1489 = 1489

Step 2: Find the prime factorization of 1493

1493 = 1493

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

LCM = 2223077 = 1489 x 1493

Step 4: Therefore, the least common multiple of 1489 and 1493 is 2223077.