Least Common Multiple of 7144 and 7151

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 7151 the smallest integer that is 51086744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7144 and 7151 is 51086744.

LCM(7144,7151) = 51086744

LCM of 7144 and 7151

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

LCM of:
and

Least Common Multiple of 7144 and 7151

LCM of 7144 and 7151 is 51086744

Least common multiple can be found by multiplying the highest exponent prime factors of 7144 and 7151. First we will calculate the prime factors of 7144 and 7151.

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 7151


7151 7151
1

Prime factors of 7151 are 7151. Prime factorization of 7151 in exponential form is:

7151 = 71511

Now multiplying the highest exponent prime factors to calculate the LCM of 7144 and 7151.

LCM(7144,7151) = 23×191×471×71511
LCM(7144,7151) = 51086744

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 7151

List of positive integer factors of 7151 that divides 7151 without a remainder.

1, 7151

Least Common Multiple of 7144 and 7151 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 7151, than apply into the LCM equation.

GCF(7144,7151) = 1
LCM(7144,7151) = ( 7144 × 7151) / 1
LCM(7144,7151) = 51086744 / 1
LCM(7144,7151) = 51086744

Properties of LCM 7144 and 7151

(i) The LCM of 7151 and 7144 is associative

LCM of 7144 and 7151 = LCM of 7151 and 7144

Related Least Common Multiples of 7144

Related Least Common Multiples of 7151

Frequently Asked Questions on LCM of 7144 and 7151

1. What is the LCM of 7144 and 7151?

Answer: LCM of 7144 and 7151 is 51086744.

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 7151?

Answer: Factors of 7151 are 1, 7151. There are 2 integers that are factors of 7151. The greatest factor of 7151 is 7151.

4. How to Find the LCM of 7144 and 7151?

Answer:

Least Common Multiple of 7144 and 7151 = 51086744

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 7151

7151 = 7151

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

LCM = 51086744 = 2 x 2 x 2 x 19 x 47 x 7151

Step 4: Therefore, the least common multiple of 7144 and 7151 is 51086744.