Least Common Multiple of 7173 and 7174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7173 and 7174 the smallest integer that is 51459102 that is divisible by both numbers.

Least Common Multiple (LCM) of 7173 and 7174 is 51459102.

LCM(7173,7174) = 51459102

LCM of 7173 and 7174

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

LCM of:
and

Least Common Multiple of 7173 and 7174

LCM of 7173 and 7174 is 51459102

Least common multiple can be found by multiplying the highest exponent prime factors of 7173 and 7174. First we will calculate the prime factors of 7173 and 7174.

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

Prime Factorization of 7174


2 7174
17 3587
211 211
1

Prime factors of 7174 are 2, 17,211. Prime factorization of 7174 in exponential form is:

7174 = 21×171×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 7173 and 7174.

LCM(7173,7174) = 21×32×171×2111×7971
LCM(7173,7174) = 51459102

Factors of 7173

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

1, 3, 9, 797, 2391, 7173

Factors of 7174

List of positive integer factors of 7174 that divides 7174 without a remainder.

1, 2, 17, 34, 211, 422, 3587, 7174

Least Common Multiple of 7173 and 7174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7173 and 7174, than apply into the LCM equation.

GCF(7173,7174) = 1
LCM(7173,7174) = ( 7173 × 7174) / 1
LCM(7173,7174) = 51459102 / 1
LCM(7173,7174) = 51459102

Properties of LCM 7173 and 7174

(i) The LCM of 7174 and 7173 is associative

LCM of 7173 and 7174 = LCM of 7174 and 7173

Related Least Common Multiples of 7173

Related Least Common Multiples of 7174

Frequently Asked Questions on LCM of 7173 and 7174

1. What is the LCM of 7173 and 7174?

Answer: LCM of 7173 and 7174 is 51459102.

2. 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.

3. What are the Factors of 7174?

Answer: Factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174. There are 8 integers that are factors of 7174. The greatest factor of 7174 is 7174.

4. How to Find the LCM of 7173 and 7174?

Answer:

Least Common Multiple of 7173 and 7174 = 51459102

Step 1: Find the prime factorization of 7173

7173 = 3 x 3 x 797

Step 2: Find the prime factorization of 7174

7174 = 2 x 17 x 211

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

LCM = 51459102 = 2 x 3 x 3 x 17 x 211 x 797

Step 4: Therefore, the least common multiple of 7173 and 7174 is 51459102.