Least Common Multiple of 1481 and 1489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1481 and 1489 the smallest integer that is 2205209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1481 and 1489 is 2205209.

LCM(1481,1489) = 2205209

LCM of 1481 and 1489

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

LCM of:
and

Least Common Multiple of 1481 and 1489

LCM of 1481 and 1489 is 2205209

Least common multiple can be found by multiplying the highest exponent prime factors of 1481 and 1489. First we will calculate the prime factors of 1481 and 1489.

Prime Factorization of 1481


1481 1481
1

Prime factors of 1481 are 1481. Prime factorization of 1481 in exponential form is:

1481 = 14811

Prime Factorization of 1489


1489 1489
1

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

1489 = 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 1481 and 1489.

LCM(1481,1489) = 14811×14891
LCM(1481,1489) = 2205209

Factors of 1481

List of positive integer factors of 1481 that divides 1481 without a remainder.

1, 1481

Factors of 1489

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

1, 1489

Least Common Multiple of 1481 and 1489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1481 and 1489, than apply into the LCM equation.

GCF(1481,1489) = 1
LCM(1481,1489) = ( 1481 × 1489) / 1
LCM(1481,1489) = 2205209 / 1
LCM(1481,1489) = 2205209

Properties of LCM 1481 and 1489

(i) The LCM of 1489 and 1481 is associative

LCM of 1481 and 1489 = LCM of 1489 and 1481

Related Least Common Multiples of 1481

Related Least Common Multiples of 1489

Frequently Asked Questions on LCM of 1481 and 1489

1. What is the LCM of 1481 and 1489?

Answer: LCM of 1481 and 1489 is 2205209.

2. What are the Factors of 1481?

Answer: Factors of 1481 are 1, 1481. There are 2 integers that are factors of 1481. The greatest factor of 1481 is 1481.

3. 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.

4. How to Find the LCM of 1481 and 1489?

Answer:

Least Common Multiple of 1481 and 1489 = 2205209

Step 1: Find the prime factorization of 1481

1481 = 1481

Step 2: Find the prime factorization of 1489

1489 = 1489

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

LCM = 2205209 = 1481 x 1489

Step 4: Therefore, the least common multiple of 1481 and 1489 is 2205209.