Least Common Multiple of 6168 and 6173

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 6173 the smallest integer that is 38075064 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6173 is 38075064.

LCM(6168,6173) = 38075064

LCM of 6168 and 6173

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

LCM of:
and

Least Common Multiple of 6168 and 6173

LCM of 6168 and 6173 is 38075064

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6173. First we will calculate the prime factors of 6168 and 6173.

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 6173


6173 6173
1

Prime factors of 6173 are 6173. Prime factorization of 6173 in exponential form is:

6173 = 61731

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6173.

LCM(6168,6173) = 23×31×2571×61731
LCM(6168,6173) = 38075064

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 6173

List of positive integer factors of 6173 that divides 6173 without a remainder.

1, 6173

Least Common Multiple of 6168 and 6173 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 6173, than apply into the LCM equation.

GCF(6168,6173) = 1
LCM(6168,6173) = ( 6168 × 6173) / 1
LCM(6168,6173) = 38075064 / 1
LCM(6168,6173) = 38075064

Properties of LCM 6168 and 6173

(i) The LCM of 6173 and 6168 is associative

LCM of 6168 and 6173 = LCM of 6173 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6173

Frequently Asked Questions on LCM of 6168 and 6173

1. What is the LCM of 6168 and 6173?

Answer: LCM of 6168 and 6173 is 38075064.

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 6173?

Answer: Factors of 6173 are 1, 6173. There are 2 integers that are factors of 6173. The greatest factor of 6173 is 6173.

4. How to Find the LCM of 6168 and 6173?

Answer:

Least Common Multiple of 6168 and 6173 = 38075064

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 6173

6173 = 6173

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

LCM = 38075064 = 2 x 2 x 2 x 3 x 257 x 6173

Step 4: Therefore, the least common multiple of 6168 and 6173 is 38075064.