Least Common Multiple of 4134 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 4134 and 4142 the smallest integer that is 8561514 that is divisible by both numbers.

Least Common Multiple (LCM) of 4134 and 4142 is 8561514.

LCM(4134,4142) = 8561514

LCM of 4134 and 4142

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

LCM of:
and

Least Common Multiple of 4134 and 4142

LCM of 4134 and 4142 is 8561514

Least common multiple can be found by multiplying the highest exponent prime factors of 4134 and 4142. First we will calculate the prime factors of 4134 and 4142.

Prime Factorization of 4134


2 4134
3 2067
13 689
53 53
1

Prime factors of 4134 are 2, 3, 13,53. Prime factorization of 4134 in exponential form is:

4134 = 21×31×131×531

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 4134 and 4142.

LCM(4134,4142) = 21×31×131×191×531×1091
LCM(4134,4142) = 8561514

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134

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 4134 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 4134 and 4142, than apply into the LCM equation.

GCF(4134,4142) = 2
LCM(4134,4142) = ( 4134 × 4142) / 2
LCM(4134,4142) = 17123028 / 2
LCM(4134,4142) = 8561514

Properties of LCM 4134 and 4142

(i) The LCM of 4142 and 4134 is associative

LCM of 4134 and 4142 = LCM of 4142 and 4134

Related Least Common Multiples of 4134

Related Least Common Multiples of 4142

Frequently Asked Questions on LCM of 4134 and 4142

1. What is the LCM of 4134 and 4142?

Answer: LCM of 4134 and 4142 is 8561514.

2. What are the Factors of 4134?

Answer: Factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134. There are 16 integers that are factors of 4134. The greatest factor of 4134 is 4134.

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 4134 and 4142?

Answer:

Least Common Multiple of 4134 and 4142 = 8561514

Step 1: Find the prime factorization of 4134

4134 = 2 x 3 x 13 x 53

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 = 8561514 = 2 x 3 x 13 x 19 x 53 x 109

Step 4: Therefore, the least common multiple of 4134 and 4142 is 8561514.