Least Common Multiple of 7144 and 7149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7144 and 7149 the smallest integer that is 51072456 that is divisible by both numbers.

Least Common Multiple (LCM) of 7144 and 7149 is 51072456.

LCM(7144,7149) = 51072456

LCM of 7144 and 7149

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

LCM of:
and

Least Common Multiple of 7144 and 7149

LCM of 7144 and 7149 is 51072456

Least common multiple can be found by multiplying the highest exponent prime factors of 7144 and 7149. First we will calculate the prime factors of 7144 and 7149.

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

Prime Factorization of 7149


3 7149
2383 2383
1

Prime factors of 7149 are 3,2383. Prime factorization of 7149 in exponential form is:

7149 = 31×23831

Now multiplying the highest exponent prime factors to calculate the LCM of 7144 and 7149.

LCM(7144,7149) = 23×31×191×471×23831
LCM(7144,7149) = 51072456

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

Factors of 7149

List of positive integer factors of 7149 that divides 7149 without a remainder.

1, 3, 2383, 7149

Least Common Multiple of 7144 and 7149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7144 and 7149, than apply into the LCM equation.

GCF(7144,7149) = 1
LCM(7144,7149) = ( 7144 × 7149) / 1
LCM(7144,7149) = 51072456 / 1
LCM(7144,7149) = 51072456

Properties of LCM 7144 and 7149

(i) The LCM of 7149 and 7144 is associative

LCM of 7144 and 7149 = LCM of 7149 and 7144

Related Least Common Multiples of 7144

Related Least Common Multiples of 7149

Frequently Asked Questions on LCM of 7144 and 7149

1. What is the LCM of 7144 and 7149?

Answer: LCM of 7144 and 7149 is 51072456.

2. 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.

3. What are the Factors of 7149?

Answer: Factors of 7149 are 1, 3, 2383, 7149. There are 4 integers that are factors of 7149. The greatest factor of 7149 is 7149.

4. How to Find the LCM of 7144 and 7149?

Answer:

Least Common Multiple of 7144 and 7149 = 51072456

Step 1: Find the prime factorization of 7144

7144 = 2 x 2 x 2 x 19 x 47

Step 2: Find the prime factorization of 7149

7149 = 3 x 2383

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

LCM = 51072456 = 2 x 2 x 2 x 3 x 19 x 47 x 2383

Step 4: Therefore, the least common multiple of 7144 and 7149 is 51072456.