Least Common Multiple of 4174 and 4178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4174 and 4178 the smallest integer that is 8719486 that is divisible by both numbers.

Least Common Multiple (LCM) of 4174 and 4178 is 8719486.

LCM(4174,4178) = 8719486

LCM of 4174 and 4178

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

LCM of:
and

Least Common Multiple of 4174 and 4178

LCM of 4174 and 4178 is 8719486

Least common multiple can be found by multiplying the highest exponent prime factors of 4174 and 4178. First we will calculate the prime factors of 4174 and 4178.

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

Prime Factorization of 4178


2 4178
2089 2089
1

Prime factors of 4178 are 2,2089. Prime factorization of 4178 in exponential form is:

4178 = 21×20891

Now multiplying the highest exponent prime factors to calculate the LCM of 4174 and 4178.

LCM(4174,4178) = 21×20871×20891
LCM(4174,4178) = 8719486

Factors of 4174

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

1, 2, 2087, 4174

Factors of 4178

List of positive integer factors of 4178 that divides 4178 without a remainder.

1, 2, 2089, 4178

Least Common Multiple of 4174 and 4178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4174 and 4178, than apply into the LCM equation.

GCF(4174,4178) = 2
LCM(4174,4178) = ( 4174 × 4178) / 2
LCM(4174,4178) = 17438972 / 2
LCM(4174,4178) = 8719486

Properties of LCM 4174 and 4178

(i) The LCM of 4178 and 4174 is associative

LCM of 4174 and 4178 = LCM of 4178 and 4174

Related Least Common Multiples of 4174

Related Least Common Multiples of 4178

Frequently Asked Questions on LCM of 4174 and 4178

1. What is the LCM of 4174 and 4178?

Answer: LCM of 4174 and 4178 is 8719486.

2. 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.

3. What are the Factors of 4178?

Answer: Factors of 4178 are 1, 2, 2089, 4178. There are 4 integers that are factors of 4178. The greatest factor of 4178 is 4178.

4. How to Find the LCM of 4174 and 4178?

Answer:

Least Common Multiple of 4174 and 4178 = 8719486

Step 1: Find the prime factorization of 4174

4174 = 2 x 2087

Step 2: Find the prime factorization of 4178

4178 = 2 x 2089

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

LCM = 8719486 = 2 x 2087 x 2089

Step 4: Therefore, the least common multiple of 4174 and 4178 is 8719486.