Least Common Multiple of 4282 and 4287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4282 and 4287 the smallest integer that is 18356934 that is divisible by both numbers.

Least Common Multiple (LCM) of 4282 and 4287 is 18356934.

LCM(4282,4287) = 18356934

LCM of 4282 and 4287

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

LCM of:
and

Least Common Multiple of 4282 and 4287

LCM of 4282 and 4287 is 18356934

Least common multiple can be found by multiplying the highest exponent prime factors of 4282 and 4287. First we will calculate the prime factors of 4282 and 4287.

Prime Factorization of 4282


2 4282
2141 2141
1

Prime factors of 4282 are 2,2141. Prime factorization of 4282 in exponential form is:

4282 = 21×21411

Prime Factorization of 4287


3 4287
1429 1429
1

Prime factors of 4287 are 3,1429. Prime factorization of 4287 in exponential form is:

4287 = 31×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 4282 and 4287.

LCM(4282,4287) = 21×31×14291×21411
LCM(4282,4287) = 18356934

Factors of 4282

List of positive integer factors of 4282 that divides 4282 without a remainder.

1, 2, 2141, 4282

Factors of 4287

List of positive integer factors of 4287 that divides 4287 without a remainder.

1, 3, 1429, 4287

Least Common Multiple of 4282 and 4287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4282 and 4287, than apply into the LCM equation.

GCF(4282,4287) = 1
LCM(4282,4287) = ( 4282 × 4287) / 1
LCM(4282,4287) = 18356934 / 1
LCM(4282,4287) = 18356934

Properties of LCM 4282 and 4287

(i) The LCM of 4287 and 4282 is associative

LCM of 4282 and 4287 = LCM of 4287 and 4282

Related Least Common Multiples of 4282

Related Least Common Multiples of 4287

Frequently Asked Questions on LCM of 4282 and 4287

1. What is the LCM of 4282 and 4287?

Answer: LCM of 4282 and 4287 is 18356934.

2. What are the Factors of 4282?

Answer: Factors of 4282 are 1, 2, 2141, 4282. There are 4 integers that are factors of 4282. The greatest factor of 4282 is 4282.

3. What are the Factors of 4287?

Answer: Factors of 4287 are 1, 3, 1429, 4287. There are 4 integers that are factors of 4287. The greatest factor of 4287 is 4287.

4. How to Find the LCM of 4282 and 4287?

Answer:

Least Common Multiple of 4282 and 4287 = 18356934

Step 1: Find the prime factorization of 4282

4282 = 2 x 2141

Step 2: Find the prime factorization of 4287

4287 = 3 x 1429

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

LCM = 18356934 = 2 x 3 x 1429 x 2141

Step 4: Therefore, the least common multiple of 4282 and 4287 is 18356934.