Least Common Multiple of 4136 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 4136 and 4142 the smallest integer that is 8565656 that is divisible by both numbers.

Least Common Multiple (LCM) of 4136 and 4142 is 8565656.

LCM(4136,4142) = 8565656

LCM of 4136 and 4142

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

LCM of:
and

Least Common Multiple of 4136 and 4142

LCM of 4136 and 4142 is 8565656

Least common multiple can be found by multiplying the highest exponent prime factors of 4136 and 4142. First we will calculate the prime factors of 4136 and 4142.

Prime Factorization of 4136


2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 4136 are 2, 11,47. Prime factorization of 4136 in exponential form is:

4136 = 23×111×471

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 4136 and 4142.

LCM(4136,4142) = 23×111×191×471×1091
LCM(4136,4142) = 8565656

Factors of 4136

List of positive integer factors of 4136 that divides 4136 without a remainder.

1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136

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 4136 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 4136 and 4142, than apply into the LCM equation.

GCF(4136,4142) = 2
LCM(4136,4142) = ( 4136 × 4142) / 2
LCM(4136,4142) = 17131312 / 2
LCM(4136,4142) = 8565656

Properties of LCM 4136 and 4142

(i) The LCM of 4142 and 4136 is associative

LCM of 4136 and 4142 = LCM of 4142 and 4136

Related Least Common Multiples of 4136

Related Least Common Multiples of 4142

Frequently Asked Questions on LCM of 4136 and 4142

1. What is the LCM of 4136 and 4142?

Answer: LCM of 4136 and 4142 is 8565656.

2. What are the Factors of 4136?

Answer: Factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136. There are 16 integers that are factors of 4136. The greatest factor of 4136 is 4136.

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 4136 and 4142?

Answer:

Least Common Multiple of 4136 and 4142 = 8565656

Step 1: Find the prime factorization of 4136

4136 = 2 x 2 x 2 x 11 x 47

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 = 8565656 = 2 x 2 x 2 x 11 x 19 x 47 x 109

Step 4: Therefore, the least common multiple of 4136 and 4142 is 8565656.