Least Common Multiple of 478 and 484

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 484 the smallest integer that is 115676 that is divisible by both numbers.

Least Common Multiple (LCM) of 478 and 484 is 115676.

LCM(478,484) = 115676

LCM of 478 and 484

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

LCM of:
and

Least Common Multiple of 478 and 484

LCM of 478 and 484 is 115676

Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 484. First we will calculate the prime factors of 478 and 484.

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 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Now multiplying the highest exponent prime factors to calculate the LCM of 478 and 484.

LCM(478,484) = 22×112×2391
LCM(478,484) = 115676

Factors of 478

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

1, 2, 239, 478

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Least Common Multiple of 478 and 484 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 484, than apply into the LCM equation.

GCF(478,484) = 2
LCM(478,484) = ( 478 × 484) / 2
LCM(478,484) = 231352 / 2
LCM(478,484) = 115676

Properties of LCM 478 and 484

(i) The LCM of 484 and 478 is associative

LCM of 478 and 484 = LCM of 484 and 478

Related Least Common Multiples of 478

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 478 and 484

1. What is the LCM of 478 and 484?

Answer: LCM of 478 and 484 is 115676.

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 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

4. How to Find the LCM of 478 and 484?

Answer:

Least Common Multiple of 478 and 484 = 115676

Step 1: Find the prime factorization of 478

478 = 2 x 239

Step 2: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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

LCM = 115676 = 2 x 2 x 11 x 11 x 239

Step 4: Therefore, the least common multiple of 478 and 484 is 115676.