Least Common Multiple of 8197 and 8201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8197 and 8201 the smallest integer that is 67223597 that is divisible by both numbers.

Least Common Multiple (LCM) of 8197 and 8201 is 67223597.

LCM(8197,8201) = 67223597

LCM of 8197 and 8201

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

LCM of:
and

Least Common Multiple of 8197 and 8201

LCM of 8197 and 8201 is 67223597

Least common multiple can be found by multiplying the highest exponent prime factors of 8197 and 8201. First we will calculate the prime factors of 8197 and 8201.

Prime Factorization of 8197


7 8197
1171 1171
1

Prime factors of 8197 are 7,1171. Prime factorization of 8197 in exponential form is:

8197 = 71×11711

Prime Factorization of 8201


59 8201
139 139
1

Prime factors of 8201 are 59,139. Prime factorization of 8201 in exponential form is:

8201 = 591×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8197 and 8201.

LCM(8197,8201) = 71×591×1391×11711
LCM(8197,8201) = 67223597

Factors of 8197

List of positive integer factors of 8197 that divides 8197 without a remainder.

1, 7, 1171, 8197

Factors of 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1, 59, 139, 8201

Least Common Multiple of 8197 and 8201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8197 and 8201, than apply into the LCM equation.

GCF(8197,8201) = 1
LCM(8197,8201) = ( 8197 × 8201) / 1
LCM(8197,8201) = 67223597 / 1
LCM(8197,8201) = 67223597

Properties of LCM 8197 and 8201

(i) The LCM of 8201 and 8197 is associative

LCM of 8197 and 8201 = LCM of 8201 and 8197

Related Least Common Multiples of 8197

Related Least Common Multiples of 8201

Frequently Asked Questions on LCM of 8197 and 8201

1. What is the LCM of 8197 and 8201?

Answer: LCM of 8197 and 8201 is 67223597.

2. What are the Factors of 8197?

Answer: Factors of 8197 are 1, 7, 1171, 8197. There are 4 integers that are factors of 8197. The greatest factor of 8197 is 8197.

3. What are the Factors of 8201?

Answer: Factors of 8201 are 1, 59, 139, 8201. There are 4 integers that are factors of 8201. The greatest factor of 8201 is 8201.

4. How to Find the LCM of 8197 and 8201?

Answer:

Least Common Multiple of 8197 and 8201 = 67223597

Step 1: Find the prime factorization of 8197

8197 = 7 x 1171

Step 2: Find the prime factorization of 8201

8201 = 59 x 139

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

LCM = 67223597 = 7 x 59 x 139 x 1171

Step 4: Therefore, the least common multiple of 8197 and 8201 is 67223597.