Least Common Multiple of 482 and 485

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 485 the smallest integer that is 233770 that is divisible by both numbers.

Least Common Multiple (LCM) of 482 and 485 is 233770.

LCM(482,485) = 233770

LCM of 482 and 485

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

LCM of:
and

Least Common Multiple of 482 and 485

LCM of 482 and 485 is 233770

Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 485. First we will calculate the prime factors of 482 and 485.

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 485


5 485
97 97
1

Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:

485 = 51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 485.

LCM(482,485) = 21×51×971×2411
LCM(482,485) = 233770

Factors of 482

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

1, 2, 241, 482

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Least Common Multiple of 482 and 485 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 485, than apply into the LCM equation.

GCF(482,485) = 1
LCM(482,485) = ( 482 × 485) / 1
LCM(482,485) = 233770 / 1
LCM(482,485) = 233770

Properties of LCM 482 and 485

(i) The LCM of 485 and 482 is associative

LCM of 482 and 485 = LCM of 485 and 482

Related Least Common Multiples of 482

Related Least Common Multiples of 485

Frequently Asked Questions on LCM of 482 and 485

1. What is the LCM of 482 and 485?

Answer: LCM of 482 and 485 is 233770.

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 485?

Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.

4. How to Find the LCM of 482 and 485?

Answer:

Least Common Multiple of 482 and 485 = 233770

Step 1: Find the prime factorization of 482

482 = 2 x 241

Step 2: Find the prime factorization of 485

485 = 5 x 97

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

LCM = 233770 = 2 x 5 x 97 x 241

Step 4: Therefore, the least common multiple of 482 and 485 is 233770.