Least Common Multiple of 6189 and 6192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6189 and 6192 the smallest integer that is 12774096 that is divisible by both numbers.

Least Common Multiple (LCM) of 6189 and 6192 is 12774096.

LCM(6189,6192) = 12774096

LCM of 6189 and 6192

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

LCM of:
and

Least Common Multiple of 6189 and 6192

LCM of 6189 and 6192 is 12774096

Least common multiple can be found by multiplying the highest exponent prime factors of 6189 and 6192. First we will calculate the prime factors of 6189 and 6192.

Prime Factorization of 6189


3 6189
2063 2063
1

Prime factors of 6189 are 3,2063. Prime factorization of 6189 in exponential form is:

6189 = 31×20631

Prime Factorization of 6192


2 6192
2 3096
2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 6192 are 2, 3,43. Prime factorization of 6192 in exponential form is:

6192 = 24×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6189 and 6192.

LCM(6189,6192) = 24×32×431×20631
LCM(6189,6192) = 12774096

Factors of 6189

List of positive integer factors of 6189 that divides 6189 without a remainder.

1, 3, 2063, 6189

Factors of 6192

List of positive integer factors of 6192 that divides 6192 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 43, 48, 72, 86, 129, 144, 172, 258, 344, 387, 516, 688, 774, 1032, 1548, 2064, 3096, 6192

Least Common Multiple of 6189 and 6192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6189 and 6192, than apply into the LCM equation.

GCF(6189,6192) = 3
LCM(6189,6192) = ( 6189 × 6192) / 3
LCM(6189,6192) = 38322288 / 3
LCM(6189,6192) = 12774096

Properties of LCM 6189 and 6192

(i) The LCM of 6192 and 6189 is associative

LCM of 6189 and 6192 = LCM of 6192 and 6189

Related Least Common Multiples of 6189

Related Least Common Multiples of 6192

Frequently Asked Questions on LCM of 6189 and 6192

1. What is the LCM of 6189 and 6192?

Answer: LCM of 6189 and 6192 is 12774096.

2. What are the Factors of 6189?

Answer: Factors of 6189 are 1, 3, 2063, 6189. There are 4 integers that are factors of 6189. The greatest factor of 6189 is 6189.

3. What are the Factors of 6192?

Answer: Factors of 6192 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 43, 48, 72, 86, 129, 144, 172, 258, 344, 387, 516, 688, 774, 1032, 1548, 2064, 3096, 6192. There are 30 integers that are factors of 6192. The greatest factor of 6192 is 6192.

4. How to Find the LCM of 6189 and 6192?

Answer:

Least Common Multiple of 6189 and 6192 = 12774096

Step 1: Find the prime factorization of 6189

6189 = 3 x 2063

Step 2: Find the prime factorization of 6192

6192 = 2 x 2 x 2 x 2 x 3 x 3 x 43

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

LCM = 12774096 = 2 x 2 x 2 x 2 x 3 x 3 x 43 x 2063

Step 4: Therefore, the least common multiple of 6189 and 6192 is 12774096.