Least Common Multiple of 6182 and 6189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6182 and 6189 the smallest integer that is 38260398 that is divisible by both numbers.

Least Common Multiple (LCM) of 6182 and 6189 is 38260398.

LCM(6182,6189) = 38260398

LCM of 6182 and 6189

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

LCM of:
and

Least Common Multiple of 6182 and 6189

LCM of 6182 and 6189 is 38260398

Least common multiple can be found by multiplying the highest exponent prime factors of 6182 and 6189. First we will calculate the prime factors of 6182 and 6189.

Prime Factorization of 6182


2 6182
11 3091
281 281
1

Prime factors of 6182 are 2, 11,281. Prime factorization of 6182 in exponential form is:

6182 = 21×111×2811

Prime Factorization of 6189


3 6189
2063 2063
1

Prime factors of 6189 are 3,2063. Prime factorization of 6189 in exponential form is:

6189 = 31×20631

Now multiplying the highest exponent prime factors to calculate the LCM of 6182 and 6189.

LCM(6182,6189) = 21×31×111×2811×20631
LCM(6182,6189) = 38260398

Factors of 6182

List of positive integer factors of 6182 that divides 6182 without a remainder.

1, 2, 11, 22, 281, 562, 3091, 6182

Factors of 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1, 3, 2063, 6189

Least Common Multiple of 6182 and 6189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6182 and 6189, than apply into the LCM equation.

GCF(6182,6189) = 1
LCM(6182,6189) = ( 6182 × 6189) / 1
LCM(6182,6189) = 38260398 / 1
LCM(6182,6189) = 38260398

Properties of LCM 6182 and 6189

(i) The LCM of 6189 and 6182 is associative

LCM of 6182 and 6189 = LCM of 6189 and 6182

Related Least Common Multiples of 6182

Related Least Common Multiples of 6189

Frequently Asked Questions on LCM of 6182 and 6189

1. What is the LCM of 6182 and 6189?

Answer: LCM of 6182 and 6189 is 38260398.

2. What are the Factors of 6182?

Answer: Factors of 6182 are 1, 2, 11, 22, 281, 562, 3091, 6182. There are 8 integers that are factors of 6182. The greatest factor of 6182 is 6182.

3. What are the Factors of 6189?

Answer: Factors of 6189 are 1, 3, 2063, 6189. There are 4 integers that are factors of 6189. The greatest factor of 6189 is 6189.

4. How to Find the LCM of 6182 and 6189?

Answer:

Least Common Multiple of 6182 and 6189 = 38260398

Step 1: Find the prime factorization of 6182

6182 = 2 x 11 x 281

Step 2: Find the prime factorization of 6189

6189 = 3 x 2063

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

LCM = 38260398 = 2 x 3 x 11 x 281 x 2063

Step 4: Therefore, the least common multiple of 6182 and 6189 is 38260398.