Least Common Multiple of 278 and 282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 278 and 282 the smallest integer that is 39198 that is divisible by both numbers.

Least Common Multiple (LCM) of 278 and 282 is 39198.

LCM(278,282) = 39198

LCM of 278 and 282

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

LCM of:
and

Least Common Multiple of 278 and 282

LCM of 278 and 282 is 39198

Least common multiple can be found by multiplying the highest exponent prime factors of 278 and 282. First we will calculate the prime factors of 278 and 282.

Prime Factorization of 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Prime Factorization of 282


2 282
3 141
47 47
1

Prime factors of 282 are 2, 3,47. Prime factorization of 282 in exponential form is:

282 = 21×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 278 and 282.

LCM(278,282) = 21×31×471×1391
LCM(278,282) = 39198

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Least Common Multiple of 278 and 282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 278 and 282, than apply into the LCM equation.

GCF(278,282) = 2
LCM(278,282) = ( 278 × 282) / 2
LCM(278,282) = 78396 / 2
LCM(278,282) = 39198

Properties of LCM 278 and 282

(i) The LCM of 282 and 278 is associative

LCM of 278 and 282 = LCM of 282 and 278

Related Least Common Multiples of 278

Related Least Common Multiples of 282

Frequently Asked Questions on LCM of 278 and 282

1. What is the LCM of 278 and 282?

Answer: LCM of 278 and 282 is 39198.

2. What are the Factors of 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

3. What are the Factors of 282?

Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.

4. How to Find the LCM of 278 and 282?

Answer:

Least Common Multiple of 278 and 282 = 39198

Step 1: Find the prime factorization of 278

278 = 2 x 139

Step 2: Find the prime factorization of 282

282 = 2 x 3 x 47

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

LCM = 39198 = 2 x 3 x 47 x 139

Step 4: Therefore, the least common multiple of 278 and 282 is 39198.