Least Common Multiple of 4138 and 4142

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 4142 the smallest integer that is 8569798 that is divisible by both numbers.

Least Common Multiple (LCM) of 4138 and 4142 is 8569798.

LCM(4138,4142) = 8569798

LCM of 4138 and 4142

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

LCM of:
and

Least Common Multiple of 4138 and 4142

LCM of 4138 and 4142 is 8569798

Least common multiple can be found by multiplying the highest exponent prime factors of 4138 and 4142. First we will calculate the prime factors of 4138 and 4142.

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 4142


2 4142
19 2071
109 109
1

Prime factors of 4142 are 2, 19,109. Prime factorization of 4142 in exponential form is:

4142 = 21×191×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 4138 and 4142.

LCM(4138,4142) = 21×191×1091×20691
LCM(4138,4142) = 8569798

Factors of 4138

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

1, 2, 2069, 4138

Factors of 4142

List of positive integer factors of 4142 that divides 4142 without a remainder.

1, 2, 19, 38, 109, 218, 2071, 4142

Least Common Multiple of 4138 and 4142 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 4142, than apply into the LCM equation.

GCF(4138,4142) = 2
LCM(4138,4142) = ( 4138 × 4142) / 2
LCM(4138,4142) = 17139596 / 2
LCM(4138,4142) = 8569798

Properties of LCM 4138 and 4142

(i) The LCM of 4142 and 4138 is associative

LCM of 4138 and 4142 = LCM of 4142 and 4138

Related Least Common Multiples of 4138

Related Least Common Multiples of 4142

Frequently Asked Questions on LCM of 4138 and 4142

1. What is the LCM of 4138 and 4142?

Answer: LCM of 4138 and 4142 is 8569798.

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 4142?

Answer: Factors of 4142 are 1, 2, 19, 38, 109, 218, 2071, 4142. There are 8 integers that are factors of 4142. The greatest factor of 4142 is 4142.

4. How to Find the LCM of 4138 and 4142?

Answer:

Least Common Multiple of 4138 and 4142 = 8569798

Step 1: Find the prime factorization of 4138

4138 = 2 x 2069

Step 2: Find the prime factorization of 4142

4142 = 2 x 19 x 109

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

LCM = 8569798 = 2 x 19 x 109 x 2069

Step 4: Therefore, the least common multiple of 4138 and 4142 is 8569798.