Least Common Multiple of 4167 and 4174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4167 and 4174 the smallest integer that is 17393058 that is divisible by both numbers.

Least Common Multiple (LCM) of 4167 and 4174 is 17393058.

LCM(4167,4174) = 17393058

LCM of 4167 and 4174

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

LCM of:
and

Least Common Multiple of 4167 and 4174

LCM of 4167 and 4174 is 17393058

Least common multiple can be found by multiplying the highest exponent prime factors of 4167 and 4174. First we will calculate the prime factors of 4167 and 4174.

Prime Factorization of 4167


3 4167
3 1389
463 463
1

Prime factors of 4167 are 3,463. Prime factorization of 4167 in exponential form is:

4167 = 32×4631

Prime Factorization of 4174


2 4174
2087 2087
1

Prime factors of 4174 are 2,2087. Prime factorization of 4174 in exponential form is:

4174 = 21×20871

Now multiplying the highest exponent prime factors to calculate the LCM of 4167 and 4174.

LCM(4167,4174) = 21×32×4631×20871
LCM(4167,4174) = 17393058

Factors of 4167

List of positive integer factors of 4167 that divides 4167 without a remainder.

1, 3, 9, 463, 1389, 4167

Factors of 4174

List of positive integer factors of 4174 that divides 4174 without a remainder.

1, 2, 2087, 4174

Least Common Multiple of 4167 and 4174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4167 and 4174, than apply into the LCM equation.

GCF(4167,4174) = 1
LCM(4167,4174) = ( 4167 × 4174) / 1
LCM(4167,4174) = 17393058 / 1
LCM(4167,4174) = 17393058

Properties of LCM 4167 and 4174

(i) The LCM of 4174 and 4167 is associative

LCM of 4167 and 4174 = LCM of 4174 and 4167

Related Least Common Multiples of 4167

Related Least Common Multiples of 4174

Frequently Asked Questions on LCM of 4167 and 4174

1. What is the LCM of 4167 and 4174?

Answer: LCM of 4167 and 4174 is 17393058.

2. What are the Factors of 4167?

Answer: Factors of 4167 are 1, 3, 9, 463, 1389, 4167. There are 6 integers that are factors of 4167. The greatest factor of 4167 is 4167.

3. What are the Factors of 4174?

Answer: Factors of 4174 are 1, 2, 2087, 4174. There are 4 integers that are factors of 4174. The greatest factor of 4174 is 4174.

4. How to Find the LCM of 4167 and 4174?

Answer:

Least Common Multiple of 4167 and 4174 = 17393058

Step 1: Find the prime factorization of 4167

4167 = 3 x 3 x 463

Step 2: Find the prime factorization of 4174

4174 = 2 x 2087

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

LCM = 17393058 = 2 x 3 x 3 x 463 x 2087

Step 4: Therefore, the least common multiple of 4167 and 4174 is 17393058.