Least Common Multiple of 7134 and 7138

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 7138 the smallest integer that is 25461246 that is divisible by both numbers.

Least Common Multiple (LCM) of 7134 and 7138 is 25461246.

LCM(7134,7138) = 25461246

LCM of 7134 and 7138

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

LCM of:
and

Least Common Multiple of 7134 and 7138

LCM of 7134 and 7138 is 25461246

Least common multiple can be found by multiplying the highest exponent prime factors of 7134 and 7138. First we will calculate the prime factors of 7134 and 7138.

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 7138


2 7138
43 3569
83 83
1

Prime factors of 7138 are 2, 43,83. Prime factorization of 7138 in exponential form is:

7138 = 21×431×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7134 and 7138.

LCM(7134,7138) = 21×31×291×411×431×831
LCM(7134,7138) = 25461246

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 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1, 2, 43, 83, 86, 166, 3569, 7138

Least Common Multiple of 7134 and 7138 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 7138, than apply into the LCM equation.

GCF(7134,7138) = 2
LCM(7134,7138) = ( 7134 × 7138) / 2
LCM(7134,7138) = 50922492 / 2
LCM(7134,7138) = 25461246

Properties of LCM 7134 and 7138

(i) The LCM of 7138 and 7134 is associative

LCM of 7134 and 7138 = LCM of 7138 and 7134

Related Least Common Multiples of 7134

Related Least Common Multiples of 7138

Frequently Asked Questions on LCM of 7134 and 7138

1. What is the LCM of 7134 and 7138?

Answer: LCM of 7134 and 7138 is 25461246.

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 7138?

Answer: Factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138. There are 8 integers that are factors of 7138. The greatest factor of 7138 is 7138.

4. How to Find the LCM of 7134 and 7138?

Answer:

Least Common Multiple of 7134 and 7138 = 25461246

Step 1: Find the prime factorization of 7134

7134 = 2 x 3 x 29 x 41

Step 2: Find the prime factorization of 7138

7138 = 2 x 43 x 83

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

LCM = 25461246 = 2 x 3 x 29 x 41 x 43 x 83

Step 4: Therefore, the least common multiple of 7134 and 7138 is 25461246.