Least Common Multiple of 7168 and 7173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7168 and 7173 the smallest integer that is 51416064 that is divisible by both numbers.

Least Common Multiple (LCM) of 7168 and 7173 is 51416064.

LCM(7168,7173) = 51416064

LCM of 7168 and 7173

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

LCM of:
and

Least Common Multiple of 7168 and 7173

LCM of 7168 and 7173 is 51416064

Least common multiple can be found by multiplying the highest exponent prime factors of 7168 and 7173. First we will calculate the prime factors of 7168 and 7173.

Prime Factorization of 7168


2 7168
2 3584
2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 7168 are 2,7. Prime factorization of 7168 in exponential form is:

7168 = 210×71

Prime Factorization of 7173


3 7173
3 2391
797 797
1

Prime factors of 7173 are 3,797. Prime factorization of 7173 in exponential form is:

7173 = 32×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 7168 and 7173.

LCM(7168,7173) = 210×32×71×7971
LCM(7168,7173) = 51416064

Factors of 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1, 3, 9, 797, 2391, 7173

Least Common Multiple of 7168 and 7173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7168 and 7173, than apply into the LCM equation.

GCF(7168,7173) = 1
LCM(7168,7173) = ( 7168 × 7173) / 1
LCM(7168,7173) = 51416064 / 1
LCM(7168,7173) = 51416064

Properties of LCM 7168 and 7173

(i) The LCM of 7173 and 7168 is associative

LCM of 7168 and 7173 = LCM of 7173 and 7168

Related Least Common Multiples of 7168

Related Least Common Multiples of 7173

Frequently Asked Questions on LCM of 7168 and 7173

1. What is the LCM of 7168 and 7173?

Answer: LCM of 7168 and 7173 is 51416064.

2. What are the Factors of 7168?

Answer: Factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168. There are 22 integers that are factors of 7168. The greatest factor of 7168 is 7168.

3. What are the Factors of 7173?

Answer: Factors of 7173 are 1, 3, 9, 797, 2391, 7173. There are 6 integers that are factors of 7173. The greatest factor of 7173 is 7173.

4. How to Find the LCM of 7168 and 7173?

Answer:

Least Common Multiple of 7168 and 7173 = 51416064

Step 1: Find the prime factorization of 7168

7168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 7173

7173 = 3 x 3 x 797

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

LCM = 51416064 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 797

Step 4: Therefore, the least common multiple of 7168 and 7173 is 51416064.