Least Common Multiple of 3134 and 3139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3134 and 3139 the smallest integer that is 9837626 that is divisible by both numbers.

Least Common Multiple (LCM) of 3134 and 3139 is 9837626.

LCM(3134,3139) = 9837626

LCM of 3134 and 3139

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

LCM of:
and

Least Common Multiple of 3134 and 3139

LCM of 3134 and 3139 is 9837626

Least common multiple can be found by multiplying the highest exponent prime factors of 3134 and 3139. First we will calculate the prime factors of 3134 and 3139.

Prime Factorization of 3134


2 3134
1567 1567
1

Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:

3134 = 21×15671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3134 and 3139.

LCM(3134,3139) = 21×431×731×15671
LCM(3134,3139) = 9837626

Factors of 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1, 2, 1567, 3134

Factors of 3139

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

1, 43, 73, 3139

Least Common Multiple of 3134 and 3139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3134 and 3139, than apply into the LCM equation.

GCF(3134,3139) = 1
LCM(3134,3139) = ( 3134 × 3139) / 1
LCM(3134,3139) = 9837626 / 1
LCM(3134,3139) = 9837626

Properties of LCM 3134 and 3139

(i) The LCM of 3139 and 3134 is associative

LCM of 3134 and 3139 = LCM of 3139 and 3134

Related Least Common Multiples of 3134

Related Least Common Multiples of 3139

Frequently Asked Questions on LCM of 3134 and 3139

1. What is the LCM of 3134 and 3139?

Answer: LCM of 3134 and 3139 is 9837626.

2. What are the Factors of 3134?

Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.

3. 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.

4. How to Find the LCM of 3134 and 3139?

Answer:

Least Common Multiple of 3134 and 3139 = 9837626

Step 1: Find the prime factorization of 3134

3134 = 2 x 1567

Step 2: Find the prime factorization of 3139

3139 = 43 x 73

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

LCM = 9837626 = 2 x 43 x 73 x 1567

Step 4: Therefore, the least common multiple of 3134 and 3139 is 9837626.