Least Common Multiple of 3198 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 3198 and 3204 the smallest integer that is 1707732 that is divisible by both numbers.

Least Common Multiple (LCM) of 3198 and 3204 is 1707732.

LCM(3198,3204) = 1707732

LCM of 3198 and 3204

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

LCM of:
and

Least Common Multiple of 3198 and 3204

LCM of 3198 and 3204 is 1707732

Least common multiple can be found by multiplying the highest exponent prime factors of 3198 and 3204. First we will calculate the prime factors of 3198 and 3204.

Prime Factorization of 3198


2 3198
3 1599
13 533
41 41
1

Prime factors of 3198 are 2, 3, 13,41. Prime factorization of 3198 in exponential form is:

3198 = 21×31×131×411

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 3198 and 3204.

LCM(3198,3204) = 22×32×131×411×891
LCM(3198,3204) = 1707732

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198

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 3198 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 3198 and 3204, than apply into the LCM equation.

GCF(3198,3204) = 6
LCM(3198,3204) = ( 3198 × 3204) / 6
LCM(3198,3204) = 10246392 / 6
LCM(3198,3204) = 1707732

Properties of LCM 3198 and 3204

(i) The LCM of 3204 and 3198 is associative

LCM of 3198 and 3204 = LCM of 3204 and 3198

Related Least Common Multiples of 3198

Related Least Common Multiples of 3204

Frequently Asked Questions on LCM of 3198 and 3204

1. What is the LCM of 3198 and 3204?

Answer: LCM of 3198 and 3204 is 1707732.

2. What are the Factors of 3198?

Answer: Factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198. There are 16 integers that are factors of 3198. The greatest factor of 3198 is 3198.

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 3198 and 3204?

Answer:

Least Common Multiple of 3198 and 3204 = 1707732

Step 1: Find the prime factorization of 3198

3198 = 2 x 3 x 13 x 41

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 = 1707732 = 2 x 2 x 3 x 3 x 13 x 41 x 89

Step 4: Therefore, the least common multiple of 3198 and 3204 is 1707732.