Least Common Multiple of 7174 and 7179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7174 and 7179 the smallest integer that is 51502146 that is divisible by both numbers.

Least Common Multiple (LCM) of 7174 and 7179 is 51502146.

LCM(7174,7179) = 51502146

LCM of 7174 and 7179

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

LCM of:
and

Least Common Multiple of 7174 and 7179

LCM of 7174 and 7179 is 51502146

Least common multiple can be found by multiplying the highest exponent prime factors of 7174 and 7179. First we will calculate the prime factors of 7174 and 7179.

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

Prime Factorization of 7179


3 7179
2393 2393
1

Prime factors of 7179 are 3,2393. Prime factorization of 7179 in exponential form is:

7179 = 31×23931

Now multiplying the highest exponent prime factors to calculate the LCM of 7174 and 7179.

LCM(7174,7179) = 21×31×171×2111×23931
LCM(7174,7179) = 51502146

Factors of 7174

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

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

Factors of 7179

List of positive integer factors of 7179 that divides 7179 without a remainder.

1, 3, 2393, 7179

Least Common Multiple of 7174 and 7179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7174 and 7179, than apply into the LCM equation.

GCF(7174,7179) = 1
LCM(7174,7179) = ( 7174 × 7179) / 1
LCM(7174,7179) = 51502146 / 1
LCM(7174,7179) = 51502146

Properties of LCM 7174 and 7179

(i) The LCM of 7179 and 7174 is associative

LCM of 7174 and 7179 = LCM of 7179 and 7174

Related Least Common Multiples of 7174

Related Least Common Multiples of 7179

Frequently Asked Questions on LCM of 7174 and 7179

1. What is the LCM of 7174 and 7179?

Answer: LCM of 7174 and 7179 is 51502146.

2. 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.

3. What are the Factors of 7179?

Answer: Factors of 7179 are 1, 3, 2393, 7179. There are 4 integers that are factors of 7179. The greatest factor of 7179 is 7179.

4. How to Find the LCM of 7174 and 7179?

Answer:

Least Common Multiple of 7174 and 7179 = 51502146

Step 1: Find the prime factorization of 7174

7174 = 2 x 17 x 211

Step 2: Find the prime factorization of 7179

7179 = 3 x 2393

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

LCM = 51502146 = 2 x 3 x 17 x 211 x 2393

Step 4: Therefore, the least common multiple of 7174 and 7179 is 51502146.