Least Common Multiple of 4258 and 4265

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 4265 the smallest integer that is 18160370 that is divisible by both numbers.

Least Common Multiple (LCM) of 4258 and 4265 is 18160370.

LCM(4258,4265) = 18160370

LCM of 4258 and 4265

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

LCM of:
and

Least Common Multiple of 4258 and 4265

LCM of 4258 and 4265 is 18160370

Least common multiple can be found by multiplying the highest exponent prime factors of 4258 and 4265. First we will calculate the prime factors of 4258 and 4265.

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 4265


5 4265
853 853
1

Prime factors of 4265 are 5,853. Prime factorization of 4265 in exponential form is:

4265 = 51×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 4258 and 4265.

LCM(4258,4265) = 21×51×8531×21291
LCM(4258,4265) = 18160370

Factors of 4258

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

1, 2, 2129, 4258

Factors of 4265

List of positive integer factors of 4265 that divides 4265 without a remainder.

1, 5, 853, 4265

Least Common Multiple of 4258 and 4265 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 4265, than apply into the LCM equation.

GCF(4258,4265) = 1
LCM(4258,4265) = ( 4258 × 4265) / 1
LCM(4258,4265) = 18160370 / 1
LCM(4258,4265) = 18160370

Properties of LCM 4258 and 4265

(i) The LCM of 4265 and 4258 is associative

LCM of 4258 and 4265 = LCM of 4265 and 4258

Related Least Common Multiples of 4258

Related Least Common Multiples of 4265

Frequently Asked Questions on LCM of 4258 and 4265

1. What is the LCM of 4258 and 4265?

Answer: LCM of 4258 and 4265 is 18160370.

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 4265?

Answer: Factors of 4265 are 1, 5, 853, 4265. There are 4 integers that are factors of 4265. The greatest factor of 4265 is 4265.

4. How to Find the LCM of 4258 and 4265?

Answer:

Least Common Multiple of 4258 and 4265 = 18160370

Step 1: Find the prime factorization of 4258

4258 = 2 x 2129

Step 2: Find the prime factorization of 4265

4265 = 5 x 853

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

LCM = 18160370 = 2 x 5 x 853 x 2129

Step 4: Therefore, the least common multiple of 4258 and 4265 is 18160370.