Least Common Multiple of 277 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 277 and 282 the smallest integer that is 78114 that is divisible by both numbers.

Least Common Multiple (LCM) of 277 and 282 is 78114.

LCM(277,282) = 78114

LCM of 277 and 282

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

LCM of:
and

Least Common Multiple of 277 and 282

LCM of 277 and 282 is 78114

Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 282. First we will calculate the prime factors of 277 and 282.

Prime Factorization of 277


277 277
1

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 2771

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 277 and 282.

LCM(277,282) = 21×31×471×2771
LCM(277,282) = 78114

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1, 277

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 277 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 277 and 282, than apply into the LCM equation.

GCF(277,282) = 1
LCM(277,282) = ( 277 × 282) / 1
LCM(277,282) = 78114 / 1
LCM(277,282) = 78114

Properties of LCM 277 and 282

(i) The LCM of 282 and 277 is associative

LCM of 277 and 282 = LCM of 282 and 277

Related Least Common Multiples of 277

Related Least Common Multiples of 282

Frequently Asked Questions on LCM of 277 and 282

1. What is the LCM of 277 and 282?

Answer: LCM of 277 and 282 is 78114.

2. What are the Factors of 277?

Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.

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 277 and 282?

Answer:

Least Common Multiple of 277 and 282 = 78114

Step 1: Find the prime factorization of 277

277 = 277

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 = 78114 = 2 x 3 x 47 x 277

Step 4: Therefore, the least common multiple of 277 and 282 is 78114.