Least Common Multiple of 478 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 478 and 482 the smallest integer that is 115198 that is divisible by both numbers.

Least Common Multiple (LCM) of 478 and 482 is 115198.

LCM(478,482) = 115198

LCM of 478 and 482

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

LCM of:
and

Least Common Multiple of 478 and 482

LCM of 478 and 482 is 115198

Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 482. First we will calculate the prime factors of 478 and 482.

Prime Factorization of 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

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 478 and 482.

LCM(478,482) = 21×2391×2411
LCM(478,482) = 115198

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Factors of 482

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

1, 2, 241, 482

Least Common Multiple of 478 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 478 and 482, than apply into the LCM equation.

GCF(478,482) = 2
LCM(478,482) = ( 478 × 482) / 2
LCM(478,482) = 230396 / 2
LCM(478,482) = 115198

Properties of LCM 478 and 482

(i) The LCM of 482 and 478 is associative

LCM of 478 and 482 = LCM of 482 and 478

Related Least Common Multiples of 478

Related Least Common Multiples of 482

Frequently Asked Questions on LCM of 478 and 482

1. What is the LCM of 478 and 482?

Answer: LCM of 478 and 482 is 115198.

2. What are the Factors of 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

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 478 and 482?

Answer:

Least Common Multiple of 478 and 482 = 115198

Step 1: Find the prime factorization of 478

478 = 2 x 239

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 = 115198 = 2 x 239 x 241

Step 4: Therefore, the least common multiple of 478 and 482 is 115198.