Least Common Multiple of 6209 and 6213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6209 and 6213 the smallest integer that is 38576517 that is divisible by both numbers.

Least Common Multiple (LCM) of 6209 and 6213 is 38576517.

LCM(6209,6213) = 38576517

LCM of 6209 and 6213

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

LCM of:
and

Least Common Multiple of 6209 and 6213

LCM of 6209 and 6213 is 38576517

Least common multiple can be found by multiplying the highest exponent prime factors of 6209 and 6213. First we will calculate the prime factors of 6209 and 6213.

Prime Factorization of 6209


7 6209
887 887
1

Prime factors of 6209 are 7,887. Prime factorization of 6209 in exponential form is:

6209 = 71×8871

Prime Factorization of 6213


3 6213
19 2071
109 109
1

Prime factors of 6213 are 3, 19,109. Prime factorization of 6213 in exponential form is:

6213 = 31×191×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6209 and 6213.

LCM(6209,6213) = 31×71×191×1091×8871
LCM(6209,6213) = 38576517

Factors of 6209

List of positive integer factors of 6209 that divides 6209 without a remainder.

1, 7, 887, 6209

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1, 3, 19, 57, 109, 327, 2071, 6213

Least Common Multiple of 6209 and 6213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6209 and 6213, than apply into the LCM equation.

GCF(6209,6213) = 1
LCM(6209,6213) = ( 6209 × 6213) / 1
LCM(6209,6213) = 38576517 / 1
LCM(6209,6213) = 38576517

Properties of LCM 6209 and 6213

(i) The LCM of 6213 and 6209 is associative

LCM of 6209 and 6213 = LCM of 6213 and 6209

Related Least Common Multiples of 6209

Related Least Common Multiples of 6213

Frequently Asked Questions on LCM of 6209 and 6213

1. What is the LCM of 6209 and 6213?

Answer: LCM of 6209 and 6213 is 38576517.

2. What are the Factors of 6209?

Answer: Factors of 6209 are 1, 7, 887, 6209. There are 4 integers that are factors of 6209. The greatest factor of 6209 is 6209.

3. What are the Factors of 6213?

Answer: Factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213. There are 8 integers that are factors of 6213. The greatest factor of 6213 is 6213.

4. How to Find the LCM of 6209 and 6213?

Answer:

Least Common Multiple of 6209 and 6213 = 38576517

Step 1: Find the prime factorization of 6209

6209 = 7 x 887

Step 2: Find the prime factorization of 6213

6213 = 3 x 19 x 109

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

LCM = 38576517 = 3 x 7 x 19 x 109 x 887

Step 4: Therefore, the least common multiple of 6209 and 6213 is 38576517.