Least Common Multiple of 474 and 482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 474 and 482 the smallest integer that is 114234 that is divisible by both numbers.

Least Common Multiple (LCM) of 474 and 482 is 114234.

LCM(474,482) = 114234

LCM of 474 and 482

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

LCM of:
and

Least Common Multiple of 474 and 482

LCM of 474 and 482 is 114234

Least common multiple can be found by multiplying the highest exponent prime factors of 474 and 482. First we will calculate the prime factors of 474 and 482.

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 474 and 482.

LCM(474,482) = 21×31×791×2411
LCM(474,482) = 114234

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Factors of 482

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

1, 2, 241, 482

Least Common Multiple of 474 and 482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 474 and 482, than apply into the LCM equation.

GCF(474,482) = 2
LCM(474,482) = ( 474 × 482) / 2
LCM(474,482) = 228468 / 2
LCM(474,482) = 114234

Properties of LCM 474 and 482

(i) The LCM of 482 and 474 is associative

LCM of 474 and 482 = LCM of 482 and 474

Related Least Common Multiples of 474

Related Least Common Multiples of 482

Frequently Asked Questions on LCM of 474 and 482

1. What is the LCM of 474 and 482?

Answer: LCM of 474 and 482 is 114234.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

3. 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.

4. How to Find the LCM of 474 and 482?

Answer:

Least Common Multiple of 474 and 482 = 114234

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 482

482 = 2 x 241

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

LCM = 114234 = 2 x 3 x 79 x 241

Step 4: Therefore, the least common multiple of 474 and 482 is 114234.