Least Common Multiple of 7167 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 7167 and 7174 the smallest integer that is 51416058 that is divisible by both numbers.

Least Common Multiple (LCM) of 7167 and 7174 is 51416058.

LCM(7167,7174) = 51416058

LCM of 7167 and 7174

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

LCM of:
and

Least Common Multiple of 7167 and 7174

LCM of 7167 and 7174 is 51416058

Least common multiple can be found by multiplying the highest exponent prime factors of 7167 and 7174. First we will calculate the prime factors of 7167 and 7174.

Prime Factorization of 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

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 7167 and 7174.

LCM(7167,7174) = 21×31×171×2111×23891
LCM(7167,7174) = 51416058

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1, 3, 2389, 7167

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 7167 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 7167 and 7174, than apply into the LCM equation.

GCF(7167,7174) = 1
LCM(7167,7174) = ( 7167 × 7174) / 1
LCM(7167,7174) = 51416058 / 1
LCM(7167,7174) = 51416058

Properties of LCM 7167 and 7174

(i) The LCM of 7174 and 7167 is associative

LCM of 7167 and 7174 = LCM of 7174 and 7167

Related Least Common Multiples of 7167

Related Least Common Multiples of 7174

Frequently Asked Questions on LCM of 7167 and 7174

1. What is the LCM of 7167 and 7174?

Answer: LCM of 7167 and 7174 is 51416058.

2. What are the Factors of 7167?

Answer: Factors of 7167 are 1, 3, 2389, 7167. There are 4 integers that are factors of 7167. The greatest factor of 7167 is 7167.

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 7167 and 7174?

Answer:

Least Common Multiple of 7167 and 7174 = 51416058

Step 1: Find the prime factorization of 7167

7167 = 3 x 2389

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 = 51416058 = 2 x 3 x 17 x 211 x 2389

Step 4: Therefore, the least common multiple of 7167 and 7174 is 51416058.