Least Common Multiple of 3139 and 3144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3139 and 3144 the smallest integer that is 9869016 that is divisible by both numbers.

Least Common Multiple (LCM) of 3139 and 3144 is 9869016.

LCM(3139,3144) = 9869016

LCM of 3139 and 3144

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

LCM of:
and

Least Common Multiple of 3139 and 3144

LCM of 3139 and 3144 is 9869016

Least common multiple can be found by multiplying the highest exponent prime factors of 3139 and 3144. First we will calculate the prime factors of 3139 and 3144.

Prime Factorization of 3139


43 3139
73 73
1

Prime factors of 3139 are 43,73. Prime factorization of 3139 in exponential form is:

3139 = 431×731

Prime Factorization of 3144


2 3144
2 1572
2 786
3 393
131 131
1

Prime factors of 3144 are 2, 3,131. Prime factorization of 3144 in exponential form is:

3144 = 23×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3139 and 3144.

LCM(3139,3144) = 23×31×431×731×1311
LCM(3139,3144) = 9869016

Factors of 3139

List of positive integer factors of 3139 that divides 3139 without a remainder.

1, 43, 73, 3139

Factors of 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144

Least Common Multiple of 3139 and 3144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3139 and 3144, than apply into the LCM equation.

GCF(3139,3144) = 1
LCM(3139,3144) = ( 3139 × 3144) / 1
LCM(3139,3144) = 9869016 / 1
LCM(3139,3144) = 9869016

Properties of LCM 3139 and 3144

(i) The LCM of 3144 and 3139 is associative

LCM of 3139 and 3144 = LCM of 3144 and 3139

Related Least Common Multiples of 3139

Related Least Common Multiples of 3144

Frequently Asked Questions on LCM of 3139 and 3144

1. What is the LCM of 3139 and 3144?

Answer: LCM of 3139 and 3144 is 9869016.

2. What are the Factors of 3139?

Answer: Factors of 3139 are 1, 43, 73, 3139. There are 4 integers that are factors of 3139. The greatest factor of 3139 is 3139.

3. What are the Factors of 3144?

Answer: Factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144. There are 16 integers that are factors of 3144. The greatest factor of 3144 is 3144.

4. How to Find the LCM of 3139 and 3144?

Answer:

Least Common Multiple of 3139 and 3144 = 9869016

Step 1: Find the prime factorization of 3139

3139 = 43 x 73

Step 2: Find the prime factorization of 3144

3144 = 2 x 2 x 2 x 3 x 131

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

LCM = 9869016 = 2 x 2 x 2 x 3 x 43 x 73 x 131

Step 4: Therefore, the least common multiple of 3139 and 3144 is 9869016.