Least Common Multiple of 3197 and 3204

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 3204 the smallest integer that is 10243188 that is divisible by both numbers.

Least Common Multiple (LCM) of 3197 and 3204 is 10243188.

LCM(3197,3204) = 10243188

LCM of 3197 and 3204

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

LCM of:
and

Least Common Multiple of 3197 and 3204

LCM of 3197 and 3204 is 10243188

Least common multiple can be found by multiplying the highest exponent prime factors of 3197 and 3204. First we will calculate the prime factors of 3197 and 3204.

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 3204


2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 3204 are 2, 3,89. Prime factorization of 3204 in exponential form is:

3204 = 22×32×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3197 and 3204.

LCM(3197,3204) = 22×32×231×891×1391
LCM(3197,3204) = 10243188

Factors of 3197

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

1, 23, 139, 3197

Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204

Least Common Multiple of 3197 and 3204 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 3204, than apply into the LCM equation.

GCF(3197,3204) = 1
LCM(3197,3204) = ( 3197 × 3204) / 1
LCM(3197,3204) = 10243188 / 1
LCM(3197,3204) = 10243188

Properties of LCM 3197 and 3204

(i) The LCM of 3204 and 3197 is associative

LCM of 3197 and 3204 = LCM of 3204 and 3197

Related Least Common Multiples of 3197

Related Least Common Multiples of 3204

Frequently Asked Questions on LCM of 3197 and 3204

1. What is the LCM of 3197 and 3204?

Answer: LCM of 3197 and 3204 is 10243188.

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 3204?

Answer: Factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204. There are 18 integers that are factors of 3204. The greatest factor of 3204 is 3204.

4. How to Find the LCM of 3197 and 3204?

Answer:

Least Common Multiple of 3197 and 3204 = 10243188

Step 1: Find the prime factorization of 3197

3197 = 23 x 139

Step 2: Find the prime factorization of 3204

3204 = 2 x 2 x 3 x 3 x 89

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

LCM = 10243188 = 2 x 2 x 3 x 3 x 23 x 89 x 139

Step 4: Therefore, the least common multiple of 3197 and 3204 is 10243188.