Least Common Multiple of 6168 and 6176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6168 and 6176 the smallest integer that is 4761696 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6176 is 4761696.

LCM(6168,6176) = 4761696

LCM of 6168 and 6176

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

LCM of:
and

Least Common Multiple of 6168 and 6176

LCM of 6168 and 6176 is 4761696

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6176. First we will calculate the prime factors of 6168 and 6176.

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

Prime Factorization of 6176


2 6176
2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 6176 are 2,193. Prime factorization of 6176 in exponential form is:

6176 = 25×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6176.

LCM(6168,6176) = 25×31×1931×2571
LCM(6168,6176) = 4761696

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

Factors of 6176

List of positive integer factors of 6176 that divides 6176 without a remainder.

1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176

Least Common Multiple of 6168 and 6176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6168 and 6176, than apply into the LCM equation.

GCF(6168,6176) = 8
LCM(6168,6176) = ( 6168 × 6176) / 8
LCM(6168,6176) = 38093568 / 8
LCM(6168,6176) = 4761696

Properties of LCM 6168 and 6176

(i) The LCM of 6176 and 6168 is associative

LCM of 6168 and 6176 = LCM of 6176 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6176

Frequently Asked Questions on LCM of 6168 and 6176

1. What is the LCM of 6168 and 6176?

Answer: LCM of 6168 and 6176 is 4761696.

2. 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.

3. What are the Factors of 6176?

Answer: Factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176. There are 12 integers that are factors of 6176. The greatest factor of 6176 is 6176.

4. How to Find the LCM of 6168 and 6176?

Answer:

Least Common Multiple of 6168 and 6176 = 4761696

Step 1: Find the prime factorization of 6168

6168 = 2 x 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 6176

6176 = 2 x 2 x 2 x 2 x 2 x 193

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

LCM = 4761696 = 2 x 2 x 2 x 2 x 2 x 3 x 193 x 257

Step 4: Therefore, the least common multiple of 6168 and 6176 is 4761696.