Least Common Multiple of 4258 and 4263

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 4263 the smallest integer that is 18151854 that is divisible by both numbers.

Least Common Multiple (LCM) of 4258 and 4263 is 18151854.

LCM(4258,4263) = 18151854

LCM of 4258 and 4263

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

LCM of:
and

Least Common Multiple of 4258 and 4263

LCM of 4258 and 4263 is 18151854

Least common multiple can be found by multiplying the highest exponent prime factors of 4258 and 4263. First we will calculate the prime factors of 4258 and 4263.

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 4263


3 4263
7 1421
7 203
29 29
1

Prime factors of 4263 are 3, 7,29. Prime factorization of 4263 in exponential form is:

4263 = 31×72×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4258 and 4263.

LCM(4258,4263) = 21×31×72×291×21291
LCM(4258,4263) = 18151854

Factors of 4258

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

1, 2, 2129, 4258

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263

Least Common Multiple of 4258 and 4263 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 4263, than apply into the LCM equation.

GCF(4258,4263) = 1
LCM(4258,4263) = ( 4258 × 4263) / 1
LCM(4258,4263) = 18151854 / 1
LCM(4258,4263) = 18151854

Properties of LCM 4258 and 4263

(i) The LCM of 4263 and 4258 is associative

LCM of 4258 and 4263 = LCM of 4263 and 4258

Related Least Common Multiples of 4258

Related Least Common Multiples of 4263

Frequently Asked Questions on LCM of 4258 and 4263

1. What is the LCM of 4258 and 4263?

Answer: LCM of 4258 and 4263 is 18151854.

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 4263?

Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.

4. How to Find the LCM of 4258 and 4263?

Answer:

Least Common Multiple of 4258 and 4263 = 18151854

Step 1: Find the prime factorization of 4258

4258 = 2 x 2129

Step 2: Find the prime factorization of 4263

4263 = 3 x 7 x 7 x 29

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

LCM = 18151854 = 2 x 3 x 7 x 7 x 29 x 2129

Step 4: Therefore, the least common multiple of 4258 and 4263 is 18151854.