Least Common Multiple of 489 and 496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 489 and 496 the smallest integer that is 242544 that is divisible by both numbers.

Least Common Multiple (LCM) of 489 and 496 is 242544.

LCM(489,496) = 242544

LCM of 489 and 496

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

LCM of:
and

Least Common Multiple of 489 and 496

LCM of 489 and 496 is 242544

Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 496. First we will calculate the prime factors of 489 and 496.

Prime Factorization of 489


3 489
163 163
1

Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:

489 = 31×1631

Prime Factorization of 496


2 496
2 248
2 124
2 62
31 31
1

Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:

496 = 24×311

Now multiplying the highest exponent prime factors to calculate the LCM of 489 and 496.

LCM(489,496) = 24×31×311×1631
LCM(489,496) = 242544

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Least Common Multiple of 489 and 496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 489 and 496, than apply into the LCM equation.

GCF(489,496) = 1
LCM(489,496) = ( 489 × 496) / 1
LCM(489,496) = 242544 / 1
LCM(489,496) = 242544

Properties of LCM 489 and 496

(i) The LCM of 496 and 489 is associative

LCM of 489 and 496 = LCM of 496 and 489

Related Least Common Multiples of 489

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 489 and 496

1. What is the LCM of 489 and 496?

Answer: LCM of 489 and 496 is 242544.

2. What are the Factors of 489?

Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.

3. What are the Factors of 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.

4. How to Find the LCM of 489 and 496?

Answer:

Least Common Multiple of 489 and 496 = 242544

Step 1: Find the prime factorization of 489

489 = 3 x 163

Step 2: Find the prime factorization of 496

496 = 2 x 2 x 2 x 2 x 31

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

LCM = 242544 = 2 x 2 x 2 x 2 x 3 x 31 x 163

Step 4: Therefore, the least common multiple of 489 and 496 is 242544.