Least Common Multiple of 8198 and 8203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8198 and 8203 the smallest integer that is 67248194 that is divisible by both numbers.

Least Common Multiple (LCM) of 8198 and 8203 is 67248194.

LCM(8198,8203) = 67248194

LCM of 8198 and 8203

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

LCM of:
and

Least Common Multiple of 8198 and 8203

LCM of 8198 and 8203 is 67248194

Least common multiple can be found by multiplying the highest exponent prime factors of 8198 and 8203. First we will calculate the prime factors of 8198 and 8203.

Prime Factorization of 8198


2 8198
4099 4099
1

Prime factors of 8198 are 2,4099. Prime factorization of 8198 in exponential form is:

8198 = 21×40991

Prime Factorization of 8203


13 8203
631 631
1

Prime factors of 8203 are 13,631. Prime factorization of 8203 in exponential form is:

8203 = 131×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 8198 and 8203.

LCM(8198,8203) = 21×131×6311×40991
LCM(8198,8203) = 67248194

Factors of 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1, 2, 4099, 8198

Factors of 8203

List of positive integer factors of 8203 that divides 8203 without a remainder.

1, 13, 631, 8203

Least Common Multiple of 8198 and 8203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8198 and 8203, than apply into the LCM equation.

GCF(8198,8203) = 1
LCM(8198,8203) = ( 8198 × 8203) / 1
LCM(8198,8203) = 67248194 / 1
LCM(8198,8203) = 67248194

Properties of LCM 8198 and 8203

(i) The LCM of 8203 and 8198 is associative

LCM of 8198 and 8203 = LCM of 8203 and 8198

Related Least Common Multiples of 8198

Related Least Common Multiples of 8203

Frequently Asked Questions on LCM of 8198 and 8203

1. What is the LCM of 8198 and 8203?

Answer: LCM of 8198 and 8203 is 67248194.

2. What are the Factors of 8198?

Answer: Factors of 8198 are 1, 2, 4099, 8198. There are 4 integers that are factors of 8198. The greatest factor of 8198 is 8198.

3. What are the Factors of 8203?

Answer: Factors of 8203 are 1, 13, 631, 8203. There are 4 integers that are factors of 8203. The greatest factor of 8203 is 8203.

4. How to Find the LCM of 8198 and 8203?

Answer:

Least Common Multiple of 8198 and 8203 = 67248194

Step 1: Find the prime factorization of 8198

8198 = 2 x 4099

Step 2: Find the prime factorization of 8203

8203 = 13 x 631

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

LCM = 67248194 = 2 x 13 x 631 x 4099

Step 4: Therefore, the least common multiple of 8198 and 8203 is 67248194.