Least Common Multiple of 274 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 274 and 282 the smallest integer that is 38634 that is divisible by both numbers.

Least Common Multiple (LCM) of 274 and 282 is 38634.

LCM(274,282) = 38634

LCM of 274 and 282

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

LCM of:
and

Least Common Multiple of 274 and 282

LCM of 274 and 282 is 38634

Least common multiple can be found by multiplying the highest exponent prime factors of 274 and 282. First we will calculate the prime factors of 274 and 282.

Prime Factorization of 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

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 274 and 282.

LCM(274,282) = 21×31×471×1371
LCM(274,282) = 38634

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 274 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 274 and 282, than apply into the LCM equation.

GCF(274,282) = 2
LCM(274,282) = ( 274 × 282) / 2
LCM(274,282) = 77268 / 2
LCM(274,282) = 38634

Properties of LCM 274 and 282

(i) The LCM of 282 and 274 is associative

LCM of 274 and 282 = LCM of 282 and 274

Related Least Common Multiples of 274

Related Least Common Multiples of 282

Frequently Asked Questions on LCM of 274 and 282

1. What is the LCM of 274 and 282?

Answer: LCM of 274 and 282 is 38634.

2. What are the Factors of 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

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 274 and 282?

Answer:

Least Common Multiple of 274 and 282 = 38634

Step 1: Find the prime factorization of 274

274 = 2 x 137

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 = 38634 = 2 x 3 x 47 x 137

Step 4: Therefore, the least common multiple of 274 and 282 is 38634.