Least Common Multiple of 8175 and 8182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8175 and 8182 the smallest integer that is 66887850 that is divisible by both numbers.

Least Common Multiple (LCM) of 8175 and 8182 is 66887850.

LCM(8175,8182) = 66887850

LCM of 8175 and 8182

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

LCM of:
and

Least Common Multiple of 8175 and 8182

LCM of 8175 and 8182 is 66887850

Least common multiple can be found by multiplying the highest exponent prime factors of 8175 and 8182. First we will calculate the prime factors of 8175 and 8182.

Prime Factorization of 8175


3 8175
5 2725
5 545
109 109
1

Prime factors of 8175 are 3, 5,109. Prime factorization of 8175 in exponential form is:

8175 = 31×52×1091

Prime Factorization of 8182


2 8182
4091 4091
1

Prime factors of 8182 are 2,4091. Prime factorization of 8182 in exponential form is:

8182 = 21×40911

Now multiplying the highest exponent prime factors to calculate the LCM of 8175 and 8182.

LCM(8175,8182) = 21×31×52×1091×40911
LCM(8175,8182) = 66887850

Factors of 8175

List of positive integer factors of 8175 that divides 8175 without a remainder.

1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175

Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1, 2, 4091, 8182

Least Common Multiple of 8175 and 8182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8175 and 8182, than apply into the LCM equation.

GCF(8175,8182) = 1
LCM(8175,8182) = ( 8175 × 8182) / 1
LCM(8175,8182) = 66887850 / 1
LCM(8175,8182) = 66887850

Properties of LCM 8175 and 8182

(i) The LCM of 8182 and 8175 is associative

LCM of 8175 and 8182 = LCM of 8182 and 8175

Related Least Common Multiples of 8175

Related Least Common Multiples of 8182

Frequently Asked Questions on LCM of 8175 and 8182

1. What is the LCM of 8175 and 8182?

Answer: LCM of 8175 and 8182 is 66887850.

2. What are the Factors of 8175?

Answer: Factors of 8175 are 1, 3, 5, 15, 25, 75, 109, 327, 545, 1635, 2725, 8175. There are 12 integers that are factors of 8175. The greatest factor of 8175 is 8175.

3. What are the Factors of 8182?

Answer: Factors of 8182 are 1, 2, 4091, 8182. There are 4 integers that are factors of 8182. The greatest factor of 8182 is 8182.

4. How to Find the LCM of 8175 and 8182?

Answer:

Least Common Multiple of 8175 and 8182 = 66887850

Step 1: Find the prime factorization of 8175

8175 = 3 x 5 x 5 x 109

Step 2: Find the prime factorization of 8182

8182 = 2 x 4091

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

LCM = 66887850 = 2 x 3 x 5 x 5 x 109 x 4091

Step 4: Therefore, the least common multiple of 8175 and 8182 is 66887850.