Least Common Multiple of 3197 and 3203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3197 and 3203 the smallest integer that is 10239991 that is divisible by both numbers.

Least Common Multiple (LCM) of 3197 and 3203 is 10239991.

LCM(3197,3203) = 10239991

LCM of 3197 and 3203

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

LCM of:
and

Least Common Multiple of 3197 and 3203

LCM of 3197 and 3203 is 10239991

Least common multiple can be found by multiplying the highest exponent prime factors of 3197 and 3203. First we will calculate the prime factors of 3197 and 3203.

Prime Factorization of 3197


23 3197
139 139
1

Prime factors of 3197 are 23,139. Prime factorization of 3197 in exponential form is:

3197 = 231×1391

Prime Factorization of 3203


3203 3203
1

Prime factors of 3203 are 3203. Prime factorization of 3203 in exponential form is:

3203 = 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 3197 and 3203.

LCM(3197,3203) = 231×1391×32031
LCM(3197,3203) = 10239991

Factors of 3197

List of positive integer factors of 3197 that divides 3197 without a remainder.

1, 23, 139, 3197

Factors of 3203

List of positive integer factors of 3203 that divides 3203 without a remainder.

1, 3203

Least Common Multiple of 3197 and 3203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3197 and 3203, than apply into the LCM equation.

GCF(3197,3203) = 1
LCM(3197,3203) = ( 3197 × 3203) / 1
LCM(3197,3203) = 10239991 / 1
LCM(3197,3203) = 10239991

Properties of LCM 3197 and 3203

(i) The LCM of 3203 and 3197 is associative

LCM of 3197 and 3203 = LCM of 3203 and 3197

Related Least Common Multiples of 3197

Related Least Common Multiples of 3203

Frequently Asked Questions on LCM of 3197 and 3203

1. What is the LCM of 3197 and 3203?

Answer: LCM of 3197 and 3203 is 10239991.

2. What are the Factors of 3197?

Answer: Factors of 3197 are 1, 23, 139, 3197. There are 4 integers that are factors of 3197. The greatest factor of 3197 is 3197.

3. What are the Factors of 3203?

Answer: Factors of 3203 are 1, 3203. There are 2 integers that are factors of 3203. The greatest factor of 3203 is 3203.

4. How to Find the LCM of 3197 and 3203?

Answer:

Least Common Multiple of 3197 and 3203 = 10239991

Step 1: Find the prime factorization of 3197

3197 = 23 x 139

Step 2: Find the prime factorization of 3203

3203 = 3203

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

LCM = 10239991 = 23 x 139 x 3203

Step 4: Therefore, the least common multiple of 3197 and 3203 is 10239991.