Least Common Multiple of 6162 and 6168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6162 and 6168 the smallest integer that is 6334536 that is divisible by both numbers.

Least Common Multiple (LCM) of 6162 and 6168 is 6334536.

LCM(6162,6168) = 6334536

LCM of 6162 and 6168

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

LCM of:
and

Least Common Multiple of 6162 and 6168

LCM of 6162 and 6168 is 6334536

Least common multiple can be found by multiplying the highest exponent prime factors of 6162 and 6168. First we will calculate the prime factors of 6162 and 6168.

Prime Factorization of 6162


2 6162
3 3081
13 1027
79 79
1

Prime factors of 6162 are 2, 3, 13,79. Prime factorization of 6162 in exponential form is:

6162 = 21×31×131×791

Prime Factorization of 6168


2 6168
2 3084
2 1542
3 771
257 257
1

Prime factors of 6168 are 2, 3,257. Prime factorization of 6168 in exponential form is:

6168 = 23×31×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 6162 and 6168.

LCM(6162,6168) = 23×31×131×791×2571
LCM(6162,6168) = 6334536

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162

Factors of 6168

List of positive integer factors of 6168 that divides 6168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168

Least Common Multiple of 6162 and 6168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6162 and 6168, than apply into the LCM equation.

GCF(6162,6168) = 6
LCM(6162,6168) = ( 6162 × 6168) / 6
LCM(6162,6168) = 38007216 / 6
LCM(6162,6168) = 6334536

Properties of LCM 6162 and 6168

(i) The LCM of 6168 and 6162 is associative

LCM of 6162 and 6168 = LCM of 6168 and 6162

Related Least Common Multiples of 6162

Related Least Common Multiples of 6168

Frequently Asked Questions on LCM of 6162 and 6168

1. What is the LCM of 6162 and 6168?

Answer: LCM of 6162 and 6168 is 6334536.

2. What are the Factors of 6162?

Answer: Factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162. There are 16 integers that are factors of 6162. The greatest factor of 6162 is 6162.

3. What are the Factors of 6168?

Answer: Factors of 6168 are 1, 2, 3, 4, 6, 8, 12, 24, 257, 514, 771, 1028, 1542, 2056, 3084, 6168. There are 16 integers that are factors of 6168. The greatest factor of 6168 is 6168.

4. How to Find the LCM of 6162 and 6168?

Answer:

Least Common Multiple of 6162 and 6168 = 6334536

Step 1: Find the prime factorization of 6162

6162 = 2 x 3 x 13 x 79

Step 2: Find the prime factorization of 6168

6168 = 2 x 2 x 2 x 3 x 257

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

LCM = 6334536 = 2 x 2 x 2 x 3 x 13 x 79 x 257

Step 4: Therefore, the least common multiple of 6162 and 6168 is 6334536.