Least Common Multiple of 488 and 489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 488 and 489 the smallest integer that is 238632 that is divisible by both numbers.

Least Common Multiple (LCM) of 488 and 489 is 238632.

LCM(488,489) = 238632

LCM of 488 and 489

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

LCM of:
and

Least Common Multiple of 488 and 489

LCM of 488 and 489 is 238632

Least common multiple can be found by multiplying the highest exponent prime factors of 488 and 489. First we will calculate the prime factors of 488 and 489.

Prime Factorization of 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 488 and 489.

LCM(488,489) = 23×31×611×1631
LCM(488,489) = 238632

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Factors of 489

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

1, 3, 163, 489

Least Common Multiple of 488 and 489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 488 and 489, than apply into the LCM equation.

GCF(488,489) = 1
LCM(488,489) = ( 488 × 489) / 1
LCM(488,489) = 238632 / 1
LCM(488,489) = 238632

Properties of LCM 488 and 489

(i) The LCM of 489 and 488 is associative

LCM of 488 and 489 = LCM of 489 and 488

Related Least Common Multiples of 488

Related Least Common Multiples of 489

Frequently Asked Questions on LCM of 488 and 489

1. What is the LCM of 488 and 489?

Answer: LCM of 488 and 489 is 238632.

2. What are the Factors of 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

3. 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.

4. How to Find the LCM of 488 and 489?

Answer:

Least Common Multiple of 488 and 489 = 238632

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 489

489 = 3 x 163

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

LCM = 238632 = 2 x 2 x 2 x 3 x 61 x 163

Step 4: Therefore, the least common multiple of 488 and 489 is 238632.