Least Common Multiple of 6168 and 6170

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 6170 the smallest integer that is 19028280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6168 and 6170 is 19028280.

LCM(6168,6170) = 19028280

LCM of 6168 and 6170

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

LCM of:
and

Least Common Multiple of 6168 and 6170

LCM of 6168 and 6170 is 19028280

Least common multiple can be found by multiplying the highest exponent prime factors of 6168 and 6170. First we will calculate the prime factors of 6168 and 6170.

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 6170


2 6170
5 3085
617 617
1

Prime factors of 6170 are 2, 5,617. Prime factorization of 6170 in exponential form is:

6170 = 21×51×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 6168 and 6170.

LCM(6168,6170) = 23×31×51×2571×6171
LCM(6168,6170) = 19028280

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 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1, 2, 5, 10, 617, 1234, 3085, 6170

Least Common Multiple of 6168 and 6170 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 6170, than apply into the LCM equation.

GCF(6168,6170) = 2
LCM(6168,6170) = ( 6168 × 6170) / 2
LCM(6168,6170) = 38056560 / 2
LCM(6168,6170) = 19028280

Properties of LCM 6168 and 6170

(i) The LCM of 6170 and 6168 is associative

LCM of 6168 and 6170 = LCM of 6170 and 6168

Related Least Common Multiples of 6168

Related Least Common Multiples of 6170

Frequently Asked Questions on LCM of 6168 and 6170

1. What is the LCM of 6168 and 6170?

Answer: LCM of 6168 and 6170 is 19028280.

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 6170?

Answer: Factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170. There are 8 integers that are factors of 6170. The greatest factor of 6170 is 6170.

4. How to Find the LCM of 6168 and 6170?

Answer:

Least Common Multiple of 6168 and 6170 = 19028280

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 6170

6170 = 2 x 5 x 617

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

LCM = 19028280 = 2 x 2 x 2 x 3 x 5 x 257 x 617

Step 4: Therefore, the least common multiple of 6168 and 6170 is 19028280.