Least Common Multiple of 275 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 275 and 282 the smallest integer that is 77550 that is divisible by both numbers.

Least Common Multiple (LCM) of 275 and 282 is 77550.

LCM(275,282) = 77550

LCM of 275 and 282

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

LCM of:
and

Least Common Multiple of 275 and 282

LCM of 275 and 282 is 77550

Least common multiple can be found by multiplying the highest exponent prime factors of 275 and 282. First we will calculate the prime factors of 275 and 282.

Prime Factorization of 275


5 275
5 55
11 11
1

Prime factors of 275 are 5,11. Prime factorization of 275 in exponential form is:

275 = 52×111

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 275 and 282.

LCM(275,282) = 21×31×52×111×471
LCM(275,282) = 77550

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 275 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 275 and 282, than apply into the LCM equation.

GCF(275,282) = 1
LCM(275,282) = ( 275 × 282) / 1
LCM(275,282) = 77550 / 1
LCM(275,282) = 77550

Properties of LCM 275 and 282

(i) The LCM of 282 and 275 is associative

LCM of 275 and 282 = LCM of 282 and 275

Related Least Common Multiples of 275

Related Least Common Multiples of 282

Frequently Asked Questions on LCM of 275 and 282

1. What is the LCM of 275 and 282?

Answer: LCM of 275 and 282 is 77550.

2. What are the Factors of 275?

Answer: Factors of 275 are 1, 5, 11, 25, 55, 275. There are 6 integers that are factors of 275. The greatest factor of 275 is 275.

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 275 and 282?

Answer:

Least Common Multiple of 275 and 282 = 77550

Step 1: Find the prime factorization of 275

275 = 5 x 5 x 11

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 = 77550 = 2 x 3 x 5 x 5 x 11 x 47

Step 4: Therefore, the least common multiple of 275 and 282 is 77550.