Least Common Multiple of 7138 and 7144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7138 and 7144 the smallest integer that is 25496936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7138 and 7144 is 25496936.

LCM(7138,7144) = 25496936

LCM of 7138 and 7144

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

LCM of:
and

Least Common Multiple of 7138 and 7144

LCM of 7138 and 7144 is 25496936

Least common multiple can be found by multiplying the highest exponent prime factors of 7138 and 7144. First we will calculate the prime factors of 7138 and 7144.

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

Prime Factorization of 7144


2 7144
2 3572
2 1786
19 893
47 47
1

Prime factors of 7144 are 2, 19,47. Prime factorization of 7144 in exponential form is:

7144 = 23×191×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7138 and 7144.

LCM(7138,7144) = 23×191×431×471×831
LCM(7138,7144) = 25496936

Factors of 7138

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

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

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144

Least Common Multiple of 7138 and 7144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7138 and 7144, than apply into the LCM equation.

GCF(7138,7144) = 2
LCM(7138,7144) = ( 7138 × 7144) / 2
LCM(7138,7144) = 50993872 / 2
LCM(7138,7144) = 25496936

Properties of LCM 7138 and 7144

(i) The LCM of 7144 and 7138 is associative

LCM of 7138 and 7144 = LCM of 7144 and 7138

Related Least Common Multiples of 7138

Related Least Common Multiples of 7144

Frequently Asked Questions on LCM of 7138 and 7144

1. What is the LCM of 7138 and 7144?

Answer: LCM of 7138 and 7144 is 25496936.

2. 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.

3. What are the Factors of 7144?

Answer: Factors of 7144 are 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144. There are 16 integers that are factors of 7144. The greatest factor of 7144 is 7144.

4. How to Find the LCM of 7138 and 7144?

Answer:

Least Common Multiple of 7138 and 7144 = 25496936

Step 1: Find the prime factorization of 7138

7138 = 2 x 43 x 83

Step 2: Find the prime factorization of 7144

7144 = 2 x 2 x 2 x 19 x 47

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

LCM = 25496936 = 2 x 2 x 2 x 19 x 43 x 47 x 83

Step 4: Therefore, the least common multiple of 7138 and 7144 is 25496936.