Least Common Multiple of 8185 and 8193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8185 and 8193 the smallest integer that is 67059705 that is divisible by both numbers.

Least Common Multiple (LCM) of 8185 and 8193 is 67059705.

LCM(8185,8193) = 67059705

LCM of 8185 and 8193

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

LCM of:
and

Least Common Multiple of 8185 and 8193

LCM of 8185 and 8193 is 67059705

Least common multiple can be found by multiplying the highest exponent prime factors of 8185 and 8193. First we will calculate the prime factors of 8185 and 8193.

Prime Factorization of 8185


5 8185
1637 1637
1

Prime factors of 8185 are 5,1637. Prime factorization of 8185 in exponential form is:

8185 = 51×16371

Prime Factorization of 8193


3 8193
2731 2731
1

Prime factors of 8193 are 3,2731. Prime factorization of 8193 in exponential form is:

8193 = 31×27311

Now multiplying the highest exponent prime factors to calculate the LCM of 8185 and 8193.

LCM(8185,8193) = 31×51×16371×27311
LCM(8185,8193) = 67059705

Factors of 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1, 5, 1637, 8185

Factors of 8193

List of positive integer factors of 8193 that divides 8193 without a remainder.

1, 3, 2731, 8193

Least Common Multiple of 8185 and 8193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8185 and 8193, than apply into the LCM equation.

GCF(8185,8193) = 1
LCM(8185,8193) = ( 8185 × 8193) / 1
LCM(8185,8193) = 67059705 / 1
LCM(8185,8193) = 67059705

Properties of LCM 8185 and 8193

(i) The LCM of 8193 and 8185 is associative

LCM of 8185 and 8193 = LCM of 8193 and 8185

Related Least Common Multiples of 8185

Related Least Common Multiples of 8193

Frequently Asked Questions on LCM of 8185 and 8193

1. What is the LCM of 8185 and 8193?

Answer: LCM of 8185 and 8193 is 67059705.

2. What are the Factors of 8185?

Answer: Factors of 8185 are 1, 5, 1637, 8185. There are 4 integers that are factors of 8185. The greatest factor of 8185 is 8185.

3. What are the Factors of 8193?

Answer: Factors of 8193 are 1, 3, 2731, 8193. There are 4 integers that are factors of 8193. The greatest factor of 8193 is 8193.

4. How to Find the LCM of 8185 and 8193?

Answer:

Least Common Multiple of 8185 and 8193 = 67059705

Step 1: Find the prime factorization of 8185

8185 = 5 x 1637

Step 2: Find the prime factorization of 8193

8193 = 3 x 2731

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

LCM = 67059705 = 3 x 5 x 1637 x 2731

Step 4: Therefore, the least common multiple of 8185 and 8193 is 67059705.