Least Common Multiple of 1489 and 1496

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 1496 the smallest integer that is 2227544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1489 and 1496 is 2227544.

LCM(1489,1496) = 2227544

LCM of 1489 and 1496

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

LCM of:
and

Least Common Multiple of 1489 and 1496

LCM of 1489 and 1496 is 2227544

Least common multiple can be found by multiplying the highest exponent prime factors of 1489 and 1496. First we will calculate the prime factors of 1489 and 1496.

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 1496


2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 1496 are 2, 11,17. Prime factorization of 1496 in exponential form is:

1496 = 23×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1489 and 1496.

LCM(1489,1496) = 23×111×171×14891
LCM(1489,1496) = 2227544

Factors of 1489

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

1, 1489

Factors of 1496

List of positive integer factors of 1496 that divides 1496 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496

Least Common Multiple of 1489 and 1496 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 1496, than apply into the LCM equation.

GCF(1489,1496) = 1
LCM(1489,1496) = ( 1489 × 1496) / 1
LCM(1489,1496) = 2227544 / 1
LCM(1489,1496) = 2227544

Properties of LCM 1489 and 1496

(i) The LCM of 1496 and 1489 is associative

LCM of 1489 and 1496 = LCM of 1496 and 1489

Related Least Common Multiples of 1489

Related Least Common Multiples of 1496

Frequently Asked Questions on LCM of 1489 and 1496

1. What is the LCM of 1489 and 1496?

Answer: LCM of 1489 and 1496 is 2227544.

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 1496?

Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.

4. How to Find the LCM of 1489 and 1496?

Answer:

Least Common Multiple of 1489 and 1496 = 2227544

Step 1: Find the prime factorization of 1489

1489 = 1489

Step 2: Find the prime factorization of 1496

1496 = 2 x 2 x 2 x 11 x 17

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

LCM = 2227544 = 2 x 2 x 2 x 11 x 17 x 1489

Step 4: Therefore, the least common multiple of 1489 and 1496 is 2227544.