Least Common Multiple of 4135 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 4135 and 4142 the smallest integer that is 17127170 that is divisible by both numbers.

Least Common Multiple (LCM) of 4135 and 4142 is 17127170.

LCM(4135,4142) = 17127170

LCM of 4135 and 4142

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

LCM of:
and

Least Common Multiple of 4135 and 4142

LCM of 4135 and 4142 is 17127170

Least common multiple can be found by multiplying the highest exponent prime factors of 4135 and 4142. First we will calculate the prime factors of 4135 and 4142.

Prime Factorization of 4135


5 4135
827 827
1

Prime factors of 4135 are 5,827. Prime factorization of 4135 in exponential form is:

4135 = 51×8271

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 4135 and 4142.

LCM(4135,4142) = 21×51×191×1091×8271
LCM(4135,4142) = 17127170

Factors of 4135

List of positive integer factors of 4135 that divides 4135 without a remainder.

1, 5, 827, 4135

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 4135 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 4135 and 4142, than apply into the LCM equation.

GCF(4135,4142) = 1
LCM(4135,4142) = ( 4135 × 4142) / 1
LCM(4135,4142) = 17127170 / 1
LCM(4135,4142) = 17127170

Properties of LCM 4135 and 4142

(i) The LCM of 4142 and 4135 is associative

LCM of 4135 and 4142 = LCM of 4142 and 4135

Related Least Common Multiples of 4135

Related Least Common Multiples of 4142

Frequently Asked Questions on LCM of 4135 and 4142

1. What is the LCM of 4135 and 4142?

Answer: LCM of 4135 and 4142 is 17127170.

2. What are the Factors of 4135?

Answer: Factors of 4135 are 1, 5, 827, 4135. There are 4 integers that are factors of 4135. The greatest factor of 4135 is 4135.

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 4135 and 4142?

Answer:

Least Common Multiple of 4135 and 4142 = 17127170

Step 1: Find the prime factorization of 4135

4135 = 5 x 827

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 = 17127170 = 2 x 5 x 19 x 109 x 827

Step 4: Therefore, the least common multiple of 4135 and 4142 is 17127170.