Least Common Multiple of 4282 and 4288

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 4288 the smallest integer that is 9180608 that is divisible by both numbers.

Least Common Multiple (LCM) of 4282 and 4288 is 9180608.

LCM(4282,4288) = 9180608

LCM of 4282 and 4288

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

LCM of:
and

Least Common Multiple of 4282 and 4288

LCM of 4282 and 4288 is 9180608

Least common multiple can be found by multiplying the highest exponent prime factors of 4282 and 4288. First we will calculate the prime factors of 4282 and 4288.

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 4288


2 4288
2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 4288 are 2,67. Prime factorization of 4288 in exponential form is:

4288 = 26×671

Now multiplying the highest exponent prime factors to calculate the LCM of 4282 and 4288.

LCM(4282,4288) = 26×671×21411
LCM(4282,4288) = 9180608

Factors of 4282

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

1, 2, 2141, 4282

Factors of 4288

List of positive integer factors of 4288 that divides 4288 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288

Least Common Multiple of 4282 and 4288 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 4288, than apply into the LCM equation.

GCF(4282,4288) = 2
LCM(4282,4288) = ( 4282 × 4288) / 2
LCM(4282,4288) = 18361216 / 2
LCM(4282,4288) = 9180608

Properties of LCM 4282 and 4288

(i) The LCM of 4288 and 4282 is associative

LCM of 4282 and 4288 = LCM of 4288 and 4282

Related Least Common Multiples of 4282

Related Least Common Multiples of 4288

Frequently Asked Questions on LCM of 4282 and 4288

1. What is the LCM of 4282 and 4288?

Answer: LCM of 4282 and 4288 is 9180608.

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 4288?

Answer: Factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288. There are 14 integers that are factors of 4288. The greatest factor of 4288 is 4288.

4. How to Find the LCM of 4282 and 4288?

Answer:

Least Common Multiple of 4282 and 4288 = 9180608

Step 1: Find the prime factorization of 4282

4282 = 2 x 2141

Step 2: Find the prime factorization of 4288

4288 = 2 x 2 x 2 x 2 x 2 x 2 x 67

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

LCM = 9180608 = 2 x 2 x 2 x 2 x 2 x 2 x 67 x 2141

Step 4: Therefore, the least common multiple of 4282 and 4288 is 9180608.