Least Common Multiple of 482 and 488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 482 and 488 the smallest integer that is 117608 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 488 is 117608.

LCM(482,488) = 117608

LCM of 482 and 488

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

LCM of:
and

Least Common Multiple of 482 and 488

LCM of 482 and 488 is 117608

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 488. First we will calculate the prime factors of 482 and 488.

Prime Factorization of 482


2 482
241 241
1

Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:

482 = 21×2411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 488.

LCM(482,488) = 23×611×2411
LCM(482,488) = 117608

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Factors of 488

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

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

Least Common Multiple of 482 and 488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 482 and 488, than apply into the LCM equation.

GCF(482,488) = 2
LCM(482,488) = ( 482 × 488) / 2
LCM(482,488) = 235216 / 2
LCM(482,488) = 117608

Properties of LCM 482 and 488

(i) The LCM of 488 and 482 is associative

LCM of 482 and 488 = LCM of 488 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 482 and 488

1. What is the LCM of 482 and 488?

Answer: LCM of 482 and 488 is 117608.

2. What are the Factors of 482?

Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.

3. 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.

4. How to Find the LCM of 482 and 488?

Answer:

Least Common Multiple of 482 and 488 = 117608

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

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

LCM = 117608 = 2 x 2 x 2 x 61 x 241

Step 4: Therefore, the least common multiple of 482 and 488 is 117608.