Least Common Multiple of 4138 and 4145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4138 and 4145 the smallest integer that is 17152010 that is divisible by both numbers.

Least Common Multiple (LCM) of 4138 and 4145 is 17152010.

LCM(4138,4145) = 17152010

LCM of 4138 and 4145

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

LCM of:
and

Least Common Multiple of 4138 and 4145

LCM of 4138 and 4145 is 17152010

Least common multiple can be found by multiplying the highest exponent prime factors of 4138 and 4145. First we will calculate the prime factors of 4138 and 4145.

Prime Factorization of 4138


2 4138
2069 2069
1

Prime factors of 4138 are 2,2069. Prime factorization of 4138 in exponential form is:

4138 = 21×20691

Prime Factorization of 4145


5 4145
829 829
1

Prime factors of 4145 are 5,829. Prime factorization of 4145 in exponential form is:

4145 = 51×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 4138 and 4145.

LCM(4138,4145) = 21×51×8291×20691
LCM(4138,4145) = 17152010

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1, 2, 2069, 4138

Factors of 4145

List of positive integer factors of 4145 that divides 4145 without a remainder.

1, 5, 829, 4145

Least Common Multiple of 4138 and 4145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4138 and 4145, than apply into the LCM equation.

GCF(4138,4145) = 1
LCM(4138,4145) = ( 4138 × 4145) / 1
LCM(4138,4145) = 17152010 / 1
LCM(4138,4145) = 17152010

Properties of LCM 4138 and 4145

(i) The LCM of 4145 and 4138 is associative

LCM of 4138 and 4145 = LCM of 4145 and 4138

Related Least Common Multiples of 4138

Related Least Common Multiples of 4145

Frequently Asked Questions on LCM of 4138 and 4145

1. What is the LCM of 4138 and 4145?

Answer: LCM of 4138 and 4145 is 17152010.

2. What are the Factors of 4138?

Answer: Factors of 4138 are 1, 2, 2069, 4138. There are 4 integers that are factors of 4138. The greatest factor of 4138 is 4138.

3. What are the Factors of 4145?

Answer: Factors of 4145 are 1, 5, 829, 4145. There are 4 integers that are factors of 4145. The greatest factor of 4145 is 4145.

4. How to Find the LCM of 4138 and 4145?

Answer:

Least Common Multiple of 4138 and 4145 = 17152010

Step 1: Find the prime factorization of 4138

4138 = 2 x 2069

Step 2: Find the prime factorization of 4145

4145 = 5 x 829

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

LCM = 17152010 = 2 x 5 x 829 x 2069

Step 4: Therefore, the least common multiple of 4138 and 4145 is 17152010.