Least Common Multiple of 4142 and 4146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4142 and 4146 the smallest integer that is 8586366 that is divisible by both numbers.

Least Common Multiple (LCM) of 4142 and 4146 is 8586366.

LCM(4142,4146) = 8586366

LCM of 4142 and 4146

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

LCM of:
and

Least Common Multiple of 4142 and 4146

LCM of 4142 and 4146 is 8586366

Least common multiple can be found by multiplying the highest exponent prime factors of 4142 and 4146. First we will calculate the prime factors of 4142 and 4146.

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

Prime Factorization of 4146


2 4146
3 2073
691 691
1

Prime factors of 4146 are 2, 3,691. Prime factorization of 4146 in exponential form is:

4146 = 21×31×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 4142 and 4146.

LCM(4142,4146) = 21×31×191×1091×6911
LCM(4142,4146) = 8586366

Factors of 4142

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

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

Factors of 4146

List of positive integer factors of 4146 that divides 4146 without a remainder.

1, 2, 3, 6, 691, 1382, 2073, 4146

Least Common Multiple of 4142 and 4146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4142 and 4146, than apply into the LCM equation.

GCF(4142,4146) = 2
LCM(4142,4146) = ( 4142 × 4146) / 2
LCM(4142,4146) = 17172732 / 2
LCM(4142,4146) = 8586366

Properties of LCM 4142 and 4146

(i) The LCM of 4146 and 4142 is associative

LCM of 4142 and 4146 = LCM of 4146 and 4142

Related Least Common Multiples of 4142

Related Least Common Multiples of 4146

Frequently Asked Questions on LCM of 4142 and 4146

1. What is the LCM of 4142 and 4146?

Answer: LCM of 4142 and 4146 is 8586366.

2. 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.

3. What are the Factors of 4146?

Answer: Factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146. There are 8 integers that are factors of 4146. The greatest factor of 4146 is 4146.

4. How to Find the LCM of 4142 and 4146?

Answer:

Least Common Multiple of 4142 and 4146 = 8586366

Step 1: Find the prime factorization of 4142

4142 = 2 x 19 x 109

Step 2: Find the prime factorization of 4146

4146 = 2 x 3 x 691

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

LCM = 8586366 = 2 x 3 x 19 x 109 x 691

Step 4: Therefore, the least common multiple of 4142 and 4146 is 8586366.