Least Common Multiple of 6205 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 6205 and 6212 the smallest integer that is 38545460 that is divisible by both numbers.

Least Common Multiple (LCM) of 6205 and 6212 is 38545460.

LCM(6205,6212) = 38545460

LCM of 6205 and 6212

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

LCM of:
and

Least Common Multiple of 6205 and 6212

LCM of 6205 and 6212 is 38545460

Least common multiple can be found by multiplying the highest exponent prime factors of 6205 and 6212. First we will calculate the prime factors of 6205 and 6212.

Prime Factorization of 6205


5 6205
17 1241
73 73
1

Prime factors of 6205 are 5, 17,73. Prime factorization of 6205 in exponential form is:

6205 = 51×171×731

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 6205 and 6212.

LCM(6205,6212) = 22×51×171×731×15531
LCM(6205,6212) = 38545460

Factors of 6205

List of positive integer factors of 6205 that divides 6205 without a remainder.

1, 5, 17, 73, 85, 365, 1241, 6205

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 6205 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 6205 and 6212, than apply into the LCM equation.

GCF(6205,6212) = 1
LCM(6205,6212) = ( 6205 × 6212) / 1
LCM(6205,6212) = 38545460 / 1
LCM(6205,6212) = 38545460

Properties of LCM 6205 and 6212

(i) The LCM of 6212 and 6205 is associative

LCM of 6205 and 6212 = LCM of 6212 and 6205

Related Least Common Multiples of 6205

Related Least Common Multiples of 6212

Frequently Asked Questions on LCM of 6205 and 6212

1. What is the LCM of 6205 and 6212?

Answer: LCM of 6205 and 6212 is 38545460.

2. What are the Factors of 6205?

Answer: Factors of 6205 are 1, 5, 17, 73, 85, 365, 1241, 6205. There are 8 integers that are factors of 6205. The greatest factor of 6205 is 6205.

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 6205 and 6212?

Answer:

Least Common Multiple of 6205 and 6212 = 38545460

Step 1: Find the prime factorization of 6205

6205 = 5 x 17 x 73

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 = 38545460 = 2 x 2 x 5 x 17 x 73 x 1553

Step 4: Therefore, the least common multiple of 6205 and 6212 is 38545460.