Least Common Multiple of 6156 and 6163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6156 and 6163 the smallest integer that is 37939428 that is divisible by both numbers.

Least Common Multiple (LCM) of 6156 and 6163 is 37939428.

LCM(6156,6163) = 37939428

LCM of 6156 and 6163

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

LCM of:
and

Least Common Multiple of 6156 and 6163

LCM of 6156 and 6163 is 37939428

Least common multiple can be found by multiplying the highest exponent prime factors of 6156 and 6163. First we will calculate the prime factors of 6156 and 6163.

Prime Factorization of 6156


2 6156
2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 6156 are 2, 3,19. Prime factorization of 6156 in exponential form is:

6156 = 22×34×191

Prime Factorization of 6163


6163 6163
1

Prime factors of 6163 are 6163. Prime factorization of 6163 in exponential form is:

6163 = 61631

Now multiplying the highest exponent prime factors to calculate the LCM of 6156 and 6163.

LCM(6156,6163) = 22×34×191×61631
LCM(6156,6163) = 37939428

Factors of 6156

List of positive integer factors of 6156 that divides 6156 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156

Factors of 6163

List of positive integer factors of 6163 that divides 6163 without a remainder.

1, 6163

Least Common Multiple of 6156 and 6163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6156 and 6163, than apply into the LCM equation.

GCF(6156,6163) = 1
LCM(6156,6163) = ( 6156 × 6163) / 1
LCM(6156,6163) = 37939428 / 1
LCM(6156,6163) = 37939428

Properties of LCM 6156 and 6163

(i) The LCM of 6163 and 6156 is associative

LCM of 6156 and 6163 = LCM of 6163 and 6156

Related Least Common Multiples of 6156

Related Least Common Multiples of 6163

Frequently Asked Questions on LCM of 6156 and 6163

1. What is the LCM of 6156 and 6163?

Answer: LCM of 6156 and 6163 is 37939428.

2. What are the Factors of 6156?

Answer: Factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156. There are 30 integers that are factors of 6156. The greatest factor of 6156 is 6156.

3. What are the Factors of 6163?

Answer: Factors of 6163 are 1, 6163. There are 2 integers that are factors of 6163. The greatest factor of 6163 is 6163.

4. How to Find the LCM of 6156 and 6163?

Answer:

Least Common Multiple of 6156 and 6163 = 37939428

Step 1: Find the prime factorization of 6156

6156 = 2 x 2 x 3 x 3 x 3 x 3 x 19

Step 2: Find the prime factorization of 6163

6163 = 6163

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

LCM = 37939428 = 2 x 2 x 3 x 3 x 3 x 3 x 19 x 6163

Step 4: Therefore, the least common multiple of 6156 and 6163 is 37939428.