Least Common Multiple of 7144 and 7150

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 7150 the smallest integer that is 25539800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7144 and 7150 is 25539800.

LCM(7144,7150) = 25539800

LCM of 7144 and 7150

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

LCM of:
and

Least Common Multiple of 7144 and 7150

LCM of 7144 and 7150 is 25539800

Least common multiple can be found by multiplying the highest exponent prime factors of 7144 and 7150. First we will calculate the prime factors of 7144 and 7150.

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 7150


2 7150
5 3575
5 715
11 143
13 13
1

Prime factors of 7150 are 2, 5, 11,13. Prime factorization of 7150 in exponential form is:

7150 = 21×52×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7144 and 7150.

LCM(7144,7150) = 23×52×111×131×191×471
LCM(7144,7150) = 25539800

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 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150

Least Common Multiple of 7144 and 7150 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 7150, than apply into the LCM equation.

GCF(7144,7150) = 2
LCM(7144,7150) = ( 7144 × 7150) / 2
LCM(7144,7150) = 51079600 / 2
LCM(7144,7150) = 25539800

Properties of LCM 7144 and 7150

(i) The LCM of 7150 and 7144 is associative

LCM of 7144 and 7150 = LCM of 7150 and 7144

Related Least Common Multiples of 7144

Related Least Common Multiples of 7150

Frequently Asked Questions on LCM of 7144 and 7150

1. What is the LCM of 7144 and 7150?

Answer: LCM of 7144 and 7150 is 25539800.

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 7150?

Answer: Factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150. There are 24 integers that are factors of 7150. The greatest factor of 7150 is 7150.

4. How to Find the LCM of 7144 and 7150?

Answer:

Least Common Multiple of 7144 and 7150 = 25539800

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 7150

7150 = 2 x 5 x 5 x 11 x 13

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

LCM = 25539800 = 2 x 2 x 2 x 5 x 5 x 11 x 13 x 19 x 47

Step 4: Therefore, the least common multiple of 7144 and 7150 is 25539800.