Least Common Multiple of 4175 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 4175 and 4182 the smallest integer that is 17459850 that is divisible by both numbers.

Least Common Multiple (LCM) of 4175 and 4182 is 17459850.

LCM(4175,4182) = 17459850

LCM of 4175 and 4182

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

LCM of:
and

Least Common Multiple of 4175 and 4182

LCM of 4175 and 4182 is 17459850

Least common multiple can be found by multiplying the highest exponent prime factors of 4175 and 4182. First we will calculate the prime factors of 4175 and 4182.

Prime Factorization of 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

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 4175 and 4182.

LCM(4175,4182) = 21×31×52×171×411×1671
LCM(4175,4182) = 17459850

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1, 5, 25, 167, 835, 4175

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 4175 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 4175 and 4182, than apply into the LCM equation.

GCF(4175,4182) = 1
LCM(4175,4182) = ( 4175 × 4182) / 1
LCM(4175,4182) = 17459850 / 1
LCM(4175,4182) = 17459850

Properties of LCM 4175 and 4182

(i) The LCM of 4182 and 4175 is associative

LCM of 4175 and 4182 = LCM of 4182 and 4175

Related Least Common Multiples of 4175

Related Least Common Multiples of 4182

Frequently Asked Questions on LCM of 4175 and 4182

1. What is the LCM of 4175 and 4182?

Answer: LCM of 4175 and 4182 is 17459850.

2. What are the Factors of 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

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 4175 and 4182?

Answer:

Least Common Multiple of 4175 and 4182 = 17459850

Step 1: Find the prime factorization of 4175

4175 = 5 x 5 x 167

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 = 17459850 = 2 x 3 x 5 x 5 x 17 x 41 x 167

Step 4: Therefore, the least common multiple of 4175 and 4182 is 17459850.