Least Common Multiple of 6204 and 6212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6204 and 6212 the smallest integer that is 9634812 that is divisible by both numbers.

Least Common Multiple (LCM) of 6204 and 6212 is 9634812.

LCM(6204,6212) = 9634812

LCM of 6204 and 6212

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

LCM of:
and

Least Common Multiple of 6204 and 6212

LCM of 6204 and 6212 is 9634812

Least common multiple can be found by multiplying the highest exponent prime factors of 6204 and 6212. First we will calculate the prime factors of 6204 and 6212.

Prime Factorization of 6204


2 6204
2 3102
3 1551
11 517
47 47
1

Prime factors of 6204 are 2, 3, 11,47. Prime factorization of 6204 in exponential form is:

6204 = 22×31×111×471

Prime Factorization of 6212


2 6212
2 3106
1553 1553
1

Prime factors of 6212 are 2,1553. Prime factorization of 6212 in exponential form is:

6212 = 22×15531

Now multiplying the highest exponent prime factors to calculate the LCM of 6204 and 6212.

LCM(6204,6212) = 22×31×111×471×15531
LCM(6204,6212) = 9634812

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204

Factors of 6212

List of positive integer factors of 6212 that divides 6212 without a remainder.

1, 2, 4, 1553, 3106, 6212

Least Common Multiple of 6204 and 6212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6204 and 6212, than apply into the LCM equation.

GCF(6204,6212) = 4
LCM(6204,6212) = ( 6204 × 6212) / 4
LCM(6204,6212) = 38539248 / 4
LCM(6204,6212) = 9634812

Properties of LCM 6204 and 6212

(i) The LCM of 6212 and 6204 is associative

LCM of 6204 and 6212 = LCM of 6212 and 6204

Related Least Common Multiples of 6204

Related Least Common Multiples of 6212

Frequently Asked Questions on LCM of 6204 and 6212

1. What is the LCM of 6204 and 6212?

Answer: LCM of 6204 and 6212 is 9634812.

2. What are the Factors of 6204?

Answer: Factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204. There are 24 integers that are factors of 6204. The greatest factor of 6204 is 6204.

3. What are the Factors of 6212?

Answer: Factors of 6212 are 1, 2, 4, 1553, 3106, 6212. There are 6 integers that are factors of 6212. The greatest factor of 6212 is 6212.

4. How to Find the LCM of 6204 and 6212?

Answer:

Least Common Multiple of 6204 and 6212 = 9634812

Step 1: Find the prime factorization of 6204

6204 = 2 x 2 x 3 x 11 x 47

Step 2: Find the prime factorization of 6212

6212 = 2 x 2 x 1553

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

LCM = 9634812 = 2 x 2 x 3 x 11 x 47 x 1553

Step 4: Therefore, the least common multiple of 6204 and 6212 is 9634812.