Least Common Multiple of 4174 and 4182

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 4182 the smallest integer that is 8727834 that is divisible by both numbers.

Least Common Multiple (LCM) of 4174 and 4182 is 8727834.

LCM(4174,4182) = 8727834

LCM of 4174 and 4182

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

LCM of:
and

Least Common Multiple of 4174 and 4182

LCM of 4174 and 4182 is 8727834

Least common multiple can be found by multiplying the highest exponent prime factors of 4174 and 4182. First we will calculate the prime factors of 4174 and 4182.

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 4182


2 4182
3 2091
17 697
41 41
1

Prime factors of 4182 are 2, 3, 17,41. Prime factorization of 4182 in exponential form is:

4182 = 21×31×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4174 and 4182.

LCM(4174,4182) = 21×31×171×411×20871
LCM(4174,4182) = 8727834

Factors of 4174

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

1, 2, 2087, 4174

Factors of 4182

List of positive integer factors of 4182 that divides 4182 without a remainder.

1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182

Least Common Multiple of 4174 and 4182 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 4182, than apply into the LCM equation.

GCF(4174,4182) = 2
LCM(4174,4182) = ( 4174 × 4182) / 2
LCM(4174,4182) = 17455668 / 2
LCM(4174,4182) = 8727834

Properties of LCM 4174 and 4182

(i) The LCM of 4182 and 4174 is associative

LCM of 4174 and 4182 = LCM of 4182 and 4174

Related Least Common Multiples of 4174

Related Least Common Multiples of 4182

Frequently Asked Questions on LCM of 4174 and 4182

1. What is the LCM of 4174 and 4182?

Answer: LCM of 4174 and 4182 is 8727834.

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 4182?

Answer: Factors of 4182 are 1, 2, 3, 6, 17, 34, 41, 51, 82, 102, 123, 246, 697, 1394, 2091, 4182. There are 16 integers that are factors of 4182. The greatest factor of 4182 is 4182.

4. How to Find the LCM of 4174 and 4182?

Answer:

Least Common Multiple of 4174 and 4182 = 8727834

Step 1: Find the prime factorization of 4174

4174 = 2 x 2087

Step 2: Find the prime factorization of 4182

4182 = 2 x 3 x 17 x 41

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

LCM = 8727834 = 2 x 3 x 17 x 41 x 2087

Step 4: Therefore, the least common multiple of 4174 and 4182 is 8727834.