Least Common Multiple of 4258 and 4260

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 4260 the smallest integer that is 9069540 that is divisible by both numbers.

Least Common Multiple (LCM) of 4258 and 4260 is 9069540.

LCM(4258,4260) = 9069540

LCM of 4258 and 4260

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

LCM of:
and

Least Common Multiple of 4258 and 4260

LCM of 4258 and 4260 is 9069540

Least common multiple can be found by multiplying the highest exponent prime factors of 4258 and 4260. First we will calculate the prime factors of 4258 and 4260.

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 4260


2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 4260 are 2, 3, 5,71. Prime factorization of 4260 in exponential form is:

4260 = 22×31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4258 and 4260.

LCM(4258,4260) = 22×31×51×711×21291
LCM(4258,4260) = 9069540

Factors of 4258

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

1, 2, 2129, 4258

Factors of 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260

Least Common Multiple of 4258 and 4260 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 4260, than apply into the LCM equation.

GCF(4258,4260) = 2
LCM(4258,4260) = ( 4258 × 4260) / 2
LCM(4258,4260) = 18139080 / 2
LCM(4258,4260) = 9069540

Properties of LCM 4258 and 4260

(i) The LCM of 4260 and 4258 is associative

LCM of 4258 and 4260 = LCM of 4260 and 4258

Related Least Common Multiples of 4258

Related Least Common Multiples of 4260

Frequently Asked Questions on LCM of 4258 and 4260

1. What is the LCM of 4258 and 4260?

Answer: LCM of 4258 and 4260 is 9069540.

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 4260?

Answer: Factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260. There are 24 integers that are factors of 4260. The greatest factor of 4260 is 4260.

4. How to Find the LCM of 4258 and 4260?

Answer:

Least Common Multiple of 4258 and 4260 = 9069540

Step 1: Find the prime factorization of 4258

4258 = 2 x 2129

Step 2: Find the prime factorization of 4260

4260 = 2 x 2 x 3 x 5 x 71

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

LCM = 9069540 = 2 x 2 x 3 x 5 x 71 x 2129

Step 4: Therefore, the least common multiple of 4258 and 4260 is 9069540.