Least Common Multiple of 8175 and 8179

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 8179 the smallest integer that is 66863325 that is divisible by both numbers.

Least Common Multiple (LCM) of 8175 and 8179 is 66863325.

LCM(8175,8179) = 66863325

LCM of 8175 and 8179

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

LCM of:
and

Least Common Multiple of 8175 and 8179

LCM of 8175 and 8179 is 66863325

Least common multiple can be found by multiplying the highest exponent prime factors of 8175 and 8179. First we will calculate the prime factors of 8175 and 8179.

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 8179


8179 8179
1

Prime factors of 8179 are 8179. Prime factorization of 8179 in exponential form is:

8179 = 81791

Now multiplying the highest exponent prime factors to calculate the LCM of 8175 and 8179.

LCM(8175,8179) = 31×52×1091×81791
LCM(8175,8179) = 66863325

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 8179

List of positive integer factors of 8179 that divides 8179 without a remainder.

1, 8179

Least Common Multiple of 8175 and 8179 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 8179, than apply into the LCM equation.

GCF(8175,8179) = 1
LCM(8175,8179) = ( 8175 × 8179) / 1
LCM(8175,8179) = 66863325 / 1
LCM(8175,8179) = 66863325

Properties of LCM 8175 and 8179

(i) The LCM of 8179 and 8175 is associative

LCM of 8175 and 8179 = LCM of 8179 and 8175

Related Least Common Multiples of 8175

Related Least Common Multiples of 8179

Frequently Asked Questions on LCM of 8175 and 8179

1. What is the LCM of 8175 and 8179?

Answer: LCM of 8175 and 8179 is 66863325.

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 8179?

Answer: Factors of 8179 are 1, 8179. There are 2 integers that are factors of 8179. The greatest factor of 8179 is 8179.

4. How to Find the LCM of 8175 and 8179?

Answer:

Least Common Multiple of 8175 and 8179 = 66863325

Step 1: Find the prime factorization of 8175

8175 = 3 x 5 x 5 x 109

Step 2: Find the prime factorization of 8179

8179 = 8179

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

LCM = 66863325 = 3 x 5 x 5 x 109 x 8179

Step 4: Therefore, the least common multiple of 8175 and 8179 is 66863325.