Least Common Multiple of 7288 and 7292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7288 and 7292 the smallest integer that is 13286024 that is divisible by both numbers.

Least Common Multiple (LCM) of 7288 and 7292 is 13286024.

LCM(7288,7292) = 13286024

LCM of 7288 and 7292

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

LCM of:
and

Least Common Multiple of 7288 and 7292

LCM of 7288 and 7292 is 13286024

Least common multiple can be found by multiplying the highest exponent prime factors of 7288 and 7292. First we will calculate the prime factors of 7288 and 7292.

Prime Factorization of 7288


2 7288
2 3644
2 1822
911 911
1

Prime factors of 7288 are 2,911. Prime factorization of 7288 in exponential form is:

7288 = 23×9111

Prime Factorization of 7292


2 7292
2 3646
1823 1823
1

Prime factors of 7292 are 2,1823. Prime factorization of 7292 in exponential form is:

7292 = 22×18231

Now multiplying the highest exponent prime factors to calculate the LCM of 7288 and 7292.

LCM(7288,7292) = 23×9111×18231
LCM(7288,7292) = 13286024

Factors of 7288

List of positive integer factors of 7288 that divides 7288 without a remainder.

1, 2, 4, 8, 911, 1822, 3644, 7288

Factors of 7292

List of positive integer factors of 7292 that divides 7292 without a remainder.

1, 2, 4, 1823, 3646, 7292

Least Common Multiple of 7288 and 7292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7288 and 7292, than apply into the LCM equation.

GCF(7288,7292) = 4
LCM(7288,7292) = ( 7288 × 7292) / 4
LCM(7288,7292) = 53144096 / 4
LCM(7288,7292) = 13286024

Properties of LCM 7288 and 7292

(i) The LCM of 7292 and 7288 is associative

LCM of 7288 and 7292 = LCM of 7292 and 7288

Related Least Common Multiples of 7288

Related Least Common Multiples of 7292

Frequently Asked Questions on LCM of 7288 and 7292

1. What is the LCM of 7288 and 7292?

Answer: LCM of 7288 and 7292 is 13286024.

2. What are the Factors of 7288?

Answer: Factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288. There are 8 integers that are factors of 7288. The greatest factor of 7288 is 7288.

3. What are the Factors of 7292?

Answer: Factors of 7292 are 1, 2, 4, 1823, 3646, 7292. There are 6 integers that are factors of 7292. The greatest factor of 7292 is 7292.

4. How to Find the LCM of 7288 and 7292?

Answer:

Least Common Multiple of 7288 and 7292 = 13286024

Step 1: Find the prime factorization of 7288

7288 = 2 x 2 x 2 x 911

Step 2: Find the prime factorization of 7292

7292 = 2 x 2 x 1823

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

LCM = 13286024 = 2 x 2 x 2 x 911 x 1823

Step 4: Therefore, the least common multiple of 7288 and 7292 is 13286024.