Least Common Multiple of 488 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 488 and 496 the smallest integer that is 30256 that is divisible by both numbers.

Least Common Multiple (LCM) of 488 and 496 is 30256.

LCM(488,496) = 30256

LCM of 488 and 496

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

LCM of:
and

Least Common Multiple of 488 and 496

LCM of 488 and 496 is 30256

Least common multiple can be found by multiplying the highest exponent prime factors of 488 and 496. First we will calculate the prime factors of 488 and 496.

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 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 488 and 496.

LCM(488,496) = 24×311×611
LCM(488,496) = 30256

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 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 488 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 488 and 496, than apply into the LCM equation.

GCF(488,496) = 8
LCM(488,496) = ( 488 × 496) / 8
LCM(488,496) = 242048 / 8
LCM(488,496) = 30256

Properties of LCM 488 and 496

(i) The LCM of 496 and 488 is associative

LCM of 488 and 496 = LCM of 496 and 488

Related Least Common Multiples of 488

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 488 and 496

1. What is the LCM of 488 and 496?

Answer: LCM of 488 and 496 is 30256.

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 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 488 and 496?

Answer:

Least Common Multiple of 488 and 496 = 30256

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

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 = 30256 = 2 x 2 x 2 x 2 x 31 x 61

Step 4: Therefore, the least common multiple of 488 and 496 is 30256.