Least Common Multiple of 6202 and 6209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6202 and 6209 the smallest integer that is 5501174 that is divisible by both numbers.

Least Common Multiple (LCM) of 6202 and 6209 is 5501174.

LCM(6202,6209) = 5501174

LCM of 6202 and 6209

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

LCM of:
and

Least Common Multiple of 6202 and 6209

LCM of 6202 and 6209 is 5501174

Least common multiple can be found by multiplying the highest exponent prime factors of 6202 and 6209. First we will calculate the prime factors of 6202 and 6209.

Prime Factorization of 6202


2 6202
7 3101
443 443
1

Prime factors of 6202 are 2, 7,443. Prime factorization of 6202 in exponential form is:

6202 = 21×71×4431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6202 and 6209.

LCM(6202,6209) = 21×71×4431×8871
LCM(6202,6209) = 5501174

Factors of 6202

List of positive integer factors of 6202 that divides 6202 without a remainder.

1, 2, 7, 14, 443, 886, 3101, 6202

Factors of 6209

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

1, 7, 887, 6209

Least Common Multiple of 6202 and 6209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6202 and 6209, than apply into the LCM equation.

GCF(6202,6209) = 7
LCM(6202,6209) = ( 6202 × 6209) / 7
LCM(6202,6209) = 38508218 / 7
LCM(6202,6209) = 5501174

Properties of LCM 6202 and 6209

(i) The LCM of 6209 and 6202 is associative

LCM of 6202 and 6209 = LCM of 6209 and 6202

Related Least Common Multiples of 6202

Related Least Common Multiples of 6209

Frequently Asked Questions on LCM of 6202 and 6209

1. What is the LCM of 6202 and 6209?

Answer: LCM of 6202 and 6209 is 5501174.

2. What are the Factors of 6202?

Answer: Factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202. There are 8 integers that are factors of 6202. The greatest factor of 6202 is 6202.

3. 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.

4. How to Find the LCM of 6202 and 6209?

Answer:

Least Common Multiple of 6202 and 6209 = 5501174

Step 1: Find the prime factorization of 6202

6202 = 2 x 7 x 443

Step 2: Find the prime factorization of 6209

6209 = 7 x 887

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

LCM = 5501174 = 2 x 7 x 443 x 887

Step 4: Therefore, the least common multiple of 6202 and 6209 is 5501174.