Least Common Multiple of 3138 and 3146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3138 and 3146 the smallest integer that is 4936074 that is divisible by both numbers.

Least Common Multiple (LCM) of 3138 and 3146 is 4936074.

LCM(3138,3146) = 4936074

LCM of 3138 and 3146

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

LCM of:
and

Least Common Multiple of 3138 and 3146

LCM of 3138 and 3146 is 4936074

Least common multiple can be found by multiplying the highest exponent prime factors of 3138 and 3146. First we will calculate the prime factors of 3138 and 3146.

Prime Factorization of 3138


2 3138
3 1569
523 523
1

Prime factors of 3138 are 2, 3,523. Prime factorization of 3138 in exponential form is:

3138 = 21×31×5231

Prime Factorization of 3146


2 3146
11 1573
11 143
13 13
1

Prime factors of 3146 are 2, 11,13. Prime factorization of 3146 in exponential form is:

3146 = 21×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3138 and 3146.

LCM(3138,3146) = 21×31×112×131×5231
LCM(3138,3146) = 4936074

Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1, 2, 3, 6, 523, 1046, 1569, 3138

Factors of 3146

List of positive integer factors of 3146 that divides 3146 without a remainder.

1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146

Least Common Multiple of 3138 and 3146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3138 and 3146, than apply into the LCM equation.

GCF(3138,3146) = 2
LCM(3138,3146) = ( 3138 × 3146) / 2
LCM(3138,3146) = 9872148 / 2
LCM(3138,3146) = 4936074

Properties of LCM 3138 and 3146

(i) The LCM of 3146 and 3138 is associative

LCM of 3138 and 3146 = LCM of 3146 and 3138

Related Least Common Multiples of 3138

Related Least Common Multiples of 3146

Frequently Asked Questions on LCM of 3138 and 3146

1. What is the LCM of 3138 and 3146?

Answer: LCM of 3138 and 3146 is 4936074.

2. What are the Factors of 3138?

Answer: Factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138. There are 8 integers that are factors of 3138. The greatest factor of 3138 is 3138.

3. What are the Factors of 3146?

Answer: Factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146. There are 12 integers that are factors of 3146. The greatest factor of 3146 is 3146.

4. How to Find the LCM of 3138 and 3146?

Answer:

Least Common Multiple of 3138 and 3146 = 4936074

Step 1: Find the prime factorization of 3138

3138 = 2 x 3 x 523

Step 2: Find the prime factorization of 3146

3146 = 2 x 11 x 11 x 13

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

LCM = 4936074 = 2 x 3 x 11 x 11 x 13 x 523

Step 4: Therefore, the least common multiple of 3138 and 3146 is 4936074.