Least Common Multiple of 4282 and 4289

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 4289 the smallest integer that is 18365498 that is divisible by both numbers.

Least Common Multiple (LCM) of 4282 and 4289 is 18365498.

LCM(4282,4289) = 18365498

LCM of 4282 and 4289

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

LCM of:
and

Least Common Multiple of 4282 and 4289

LCM of 4282 and 4289 is 18365498

Least common multiple can be found by multiplying the highest exponent prime factors of 4282 and 4289. First we will calculate the prime factors of 4282 and 4289.

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 4289


4289 4289
1

Prime factors of 4289 are 4289. Prime factorization of 4289 in exponential form is:

4289 = 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 4282 and 4289.

LCM(4282,4289) = 21×21411×42891
LCM(4282,4289) = 18365498

Factors of 4282

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

1, 2, 2141, 4282

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1, 4289

Least Common Multiple of 4282 and 4289 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 4289, than apply into the LCM equation.

GCF(4282,4289) = 1
LCM(4282,4289) = ( 4282 × 4289) / 1
LCM(4282,4289) = 18365498 / 1
LCM(4282,4289) = 18365498

Properties of LCM 4282 and 4289

(i) The LCM of 4289 and 4282 is associative

LCM of 4282 and 4289 = LCM of 4289 and 4282

Related Least Common Multiples of 4282

Related Least Common Multiples of 4289

Frequently Asked Questions on LCM of 4282 and 4289

1. What is the LCM of 4282 and 4289?

Answer: LCM of 4282 and 4289 is 18365498.

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 4289?

Answer: Factors of 4289 are 1, 4289. There are 2 integers that are factors of 4289. The greatest factor of 4289 is 4289.

4. How to Find the LCM of 4282 and 4289?

Answer:

Least Common Multiple of 4282 and 4289 = 18365498

Step 1: Find the prime factorization of 4282

4282 = 2 x 2141

Step 2: Find the prime factorization of 4289

4289 = 4289

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

LCM = 18365498 = 2 x 2141 x 4289

Step 4: Therefore, the least common multiple of 4282 and 4289 is 18365498.