Least Common Multiple of 7134 and 7139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7134 and 7139 the smallest integer that is 50929626 that is divisible by both numbers.

Least Common Multiple (LCM) of 7134 and 7139 is 50929626.

LCM(7134,7139) = 50929626

LCM of 7134 and 7139

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

LCM of:
and

Least Common Multiple of 7134 and 7139

LCM of 7134 and 7139 is 50929626

Least common multiple can be found by multiplying the highest exponent prime factors of 7134 and 7139. First we will calculate the prime factors of 7134 and 7139.

Prime Factorization of 7134


2 7134
3 3567
29 1189
41 41
1

Prime factors of 7134 are 2, 3, 29,41. Prime factorization of 7134 in exponential form is:

7134 = 21×31×291×411

Prime Factorization of 7139


11 7139
11 649
59 59
1

Prime factors of 7139 are 11,59. Prime factorization of 7139 in exponential form is:

7139 = 112×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7134 and 7139.

LCM(7134,7139) = 21×31×112×291×411×591
LCM(7134,7139) = 50929626

Factors of 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1, 11, 59, 121, 649, 7139

Least Common Multiple of 7134 and 7139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7134 and 7139, than apply into the LCM equation.

GCF(7134,7139) = 1
LCM(7134,7139) = ( 7134 × 7139) / 1
LCM(7134,7139) = 50929626 / 1
LCM(7134,7139) = 50929626

Properties of LCM 7134 and 7139

(i) The LCM of 7139 and 7134 is associative

LCM of 7134 and 7139 = LCM of 7139 and 7134

Related Least Common Multiples of 7134

Related Least Common Multiples of 7139

Frequently Asked Questions on LCM of 7134 and 7139

1. What is the LCM of 7134 and 7139?

Answer: LCM of 7134 and 7139 is 50929626.

2. What are the Factors of 7134?

Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.

3. What are the Factors of 7139?

Answer: Factors of 7139 are 1, 11, 59, 121, 649, 7139. There are 6 integers that are factors of 7139. The greatest factor of 7139 is 7139.

4. How to Find the LCM of 7134 and 7139?

Answer:

Least Common Multiple of 7134 and 7139 = 50929626

Step 1: Find the prime factorization of 7134

7134 = 2 x 3 x 29 x 41

Step 2: Find the prime factorization of 7139

7139 = 11 x 11 x 59

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

LCM = 50929626 = 2 x 3 x 11 x 11 x 29 x 41 x 59

Step 4: Therefore, the least common multiple of 7134 and 7139 is 50929626.