Least Common Multiple of 4258 and 4266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4258 and 4266 the smallest integer that is 9082314 that is divisible by both numbers.

Least Common Multiple (LCM) of 4258 and 4266 is 9082314.

LCM(4258,4266) = 9082314

LCM of 4258 and 4266

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

LCM of:
and

Least Common Multiple of 4258 and 4266

LCM of 4258 and 4266 is 9082314

Least common multiple can be found by multiplying the highest exponent prime factors of 4258 and 4266. First we will calculate the prime factors of 4258 and 4266.

Prime Factorization of 4258


2 4258
2129 2129
1

Prime factors of 4258 are 2,2129. Prime factorization of 4258 in exponential form is:

4258 = 21×21291

Prime Factorization of 4266


2 4266
3 2133
3 711
3 237
79 79
1

Prime factors of 4266 are 2, 3,79. Prime factorization of 4266 in exponential form is:

4266 = 21×33×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4258 and 4266.

LCM(4258,4266) = 21×33×791×21291
LCM(4258,4266) = 9082314

Factors of 4258

List of positive integer factors of 4258 that divides 4258 without a remainder.

1, 2, 2129, 4258

Factors of 4266

List of positive integer factors of 4266 that divides 4266 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 79, 158, 237, 474, 711, 1422, 2133, 4266

Least Common Multiple of 4258 and 4266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4258 and 4266, than apply into the LCM equation.

GCF(4258,4266) = 2
LCM(4258,4266) = ( 4258 × 4266) / 2
LCM(4258,4266) = 18164628 / 2
LCM(4258,4266) = 9082314

Properties of LCM 4258 and 4266

(i) The LCM of 4266 and 4258 is associative

LCM of 4258 and 4266 = LCM of 4266 and 4258

Related Least Common Multiples of 4258

Related Least Common Multiples of 4266

Frequently Asked Questions on LCM of 4258 and 4266

1. What is the LCM of 4258 and 4266?

Answer: LCM of 4258 and 4266 is 9082314.

2. What are the Factors of 4258?

Answer: Factors of 4258 are 1, 2, 2129, 4258. There are 4 integers that are factors of 4258. The greatest factor of 4258 is 4258.

3. What are the Factors of 4266?

Answer: Factors of 4266 are 1, 2, 3, 6, 9, 18, 27, 54, 79, 158, 237, 474, 711, 1422, 2133, 4266. There are 16 integers that are factors of 4266. The greatest factor of 4266 is 4266.

4. How to Find the LCM of 4258 and 4266?

Answer:

Least Common Multiple of 4258 and 4266 = 9082314

Step 1: Find the prime factorization of 4258

4258 = 2 x 2129

Step 2: Find the prime factorization of 4266

4266 = 2 x 3 x 3 x 3 x 79

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

LCM = 9082314 = 2 x 3 x 3 x 3 x 79 x 2129

Step 4: Therefore, the least common multiple of 4258 and 4266 is 9082314.