Least Common Multiple of 6182 and 6188

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 6188 the smallest integer that is 19127108 that is divisible by both numbers.

Least Common Multiple (LCM) of 6182 and 6188 is 19127108.

LCM(6182,6188) = 19127108

LCM of 6182 and 6188

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

LCM of:
and

Least Common Multiple of 6182 and 6188

LCM of 6182 and 6188 is 19127108

Least common multiple can be found by multiplying the highest exponent prime factors of 6182 and 6188. First we will calculate the prime factors of 6182 and 6188.

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 6188


2 6188
2 3094
7 1547
13 221
17 17
1

Prime factors of 6188 are 2, 7, 13,17. Prime factorization of 6188 in exponential form is:

6188 = 22×71×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6182 and 6188.

LCM(6182,6188) = 22×71×111×131×171×2811
LCM(6182,6188) = 19127108

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 6188

List of positive integer factors of 6188 that divides 6188 without a remainder.

1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188

Least Common Multiple of 6182 and 6188 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 6188, than apply into the LCM equation.

GCF(6182,6188) = 2
LCM(6182,6188) = ( 6182 × 6188) / 2
LCM(6182,6188) = 38254216 / 2
LCM(6182,6188) = 19127108

Properties of LCM 6182 and 6188

(i) The LCM of 6188 and 6182 is associative

LCM of 6182 and 6188 = LCM of 6188 and 6182

Related Least Common Multiples of 6182

Related Least Common Multiples of 6188

Frequently Asked Questions on LCM of 6182 and 6188

1. What is the LCM of 6182 and 6188?

Answer: LCM of 6182 and 6188 is 19127108.

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 6188?

Answer: Factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188. There are 24 integers that are factors of 6188. The greatest factor of 6188 is 6188.

4. How to Find the LCM of 6182 and 6188?

Answer:

Least Common Multiple of 6182 and 6188 = 19127108

Step 1: Find the prime factorization of 6182

6182 = 2 x 11 x 281

Step 2: Find the prime factorization of 6188

6188 = 2 x 2 x 7 x 13 x 17

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

LCM = 19127108 = 2 x 2 x 7 x 11 x 13 x 17 x 281

Step 4: Therefore, the least common multiple of 6182 and 6188 is 19127108.