Least Common Multiple of 1489 and 1495

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 1495 the smallest integer that is 2226055 that is divisible by both numbers.

Least Common Multiple (LCM) of 1489 and 1495 is 2226055.

LCM(1489,1495) = 2226055

LCM of 1489 and 1495

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

LCM of:
and

Least Common Multiple of 1489 and 1495

LCM of 1489 and 1495 is 2226055

Least common multiple can be found by multiplying the highest exponent prime factors of 1489 and 1495. First we will calculate the prime factors of 1489 and 1495.

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 1495


5 1495
13 299
23 23
1

Prime factors of 1495 are 5, 13,23. Prime factorization of 1495 in exponential form is:

1495 = 51×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1489 and 1495.

LCM(1489,1495) = 51×131×231×14891
LCM(1489,1495) = 2226055

Factors of 1489

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

1, 1489

Factors of 1495

List of positive integer factors of 1495 that divides 1495 without a remainder.

1, 5, 13, 23, 65, 115, 299, 1495

Least Common Multiple of 1489 and 1495 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 1495, than apply into the LCM equation.

GCF(1489,1495) = 1
LCM(1489,1495) = ( 1489 × 1495) / 1
LCM(1489,1495) = 2226055 / 1
LCM(1489,1495) = 2226055

Properties of LCM 1489 and 1495

(i) The LCM of 1495 and 1489 is associative

LCM of 1489 and 1495 = LCM of 1495 and 1489

Related Least Common Multiples of 1489

Related Least Common Multiples of 1495

Frequently Asked Questions on LCM of 1489 and 1495

1. What is the LCM of 1489 and 1495?

Answer: LCM of 1489 and 1495 is 2226055.

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 1495?

Answer: Factors of 1495 are 1, 5, 13, 23, 65, 115, 299, 1495. There are 8 integers that are factors of 1495. The greatest factor of 1495 is 1495.

4. How to Find the LCM of 1489 and 1495?

Answer:

Least Common Multiple of 1489 and 1495 = 2226055

Step 1: Find the prime factorization of 1489

1489 = 1489

Step 2: Find the prime factorization of 1495

1495 = 5 x 13 x 23

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

LCM = 2226055 = 5 x 13 x 23 x 1489

Step 4: Therefore, the least common multiple of 1489 and 1495 is 2226055.