Least Common Multiple of 6165 and 6172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6165 and 6172 the smallest integer that is 38050380 that is divisible by both numbers.

Least Common Multiple (LCM) of 6165 and 6172 is 38050380.

LCM(6165,6172) = 38050380

LCM of 6165 and 6172

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

LCM of:
and

Least Common Multiple of 6165 and 6172

LCM of 6165 and 6172 is 38050380

Least common multiple can be found by multiplying the highest exponent prime factors of 6165 and 6172. First we will calculate the prime factors of 6165 and 6172.

Prime Factorization of 6165


3 6165
3 2055
5 685
137 137
1

Prime factors of 6165 are 3, 5,137. Prime factorization of 6165 in exponential form is:

6165 = 32×51×1371

Prime Factorization of 6172


2 6172
2 3086
1543 1543
1

Prime factors of 6172 are 2,1543. Prime factorization of 6172 in exponential form is:

6172 = 22×15431

Now multiplying the highest exponent prime factors to calculate the LCM of 6165 and 6172.

LCM(6165,6172) = 22×32×51×1371×15431
LCM(6165,6172) = 38050380

Factors of 6165

List of positive integer factors of 6165 that divides 6165 without a remainder.

1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165

Factors of 6172

List of positive integer factors of 6172 that divides 6172 without a remainder.

1, 2, 4, 1543, 3086, 6172

Least Common Multiple of 6165 and 6172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6165 and 6172, than apply into the LCM equation.

GCF(6165,6172) = 1
LCM(6165,6172) = ( 6165 × 6172) / 1
LCM(6165,6172) = 38050380 / 1
LCM(6165,6172) = 38050380

Properties of LCM 6165 and 6172

(i) The LCM of 6172 and 6165 is associative

LCM of 6165 and 6172 = LCM of 6172 and 6165

Related Least Common Multiples of 6165

Related Least Common Multiples of 6172

Frequently Asked Questions on LCM of 6165 and 6172

1. What is the LCM of 6165 and 6172?

Answer: LCM of 6165 and 6172 is 38050380.

2. What are the Factors of 6165?

Answer: Factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. There are 12 integers that are factors of 6165. The greatest factor of 6165 is 6165.

3. What are the Factors of 6172?

Answer: Factors of 6172 are 1, 2, 4, 1543, 3086, 6172. There are 6 integers that are factors of 6172. The greatest factor of 6172 is 6172.

4. How to Find the LCM of 6165 and 6172?

Answer:

Least Common Multiple of 6165 and 6172 = 38050380

Step 1: Find the prime factorization of 6165

6165 = 3 x 3 x 5 x 137

Step 2: Find the prime factorization of 6172

6172 = 2 x 2 x 1543

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

LCM = 38050380 = 2 x 2 x 3 x 3 x 5 x 137 x 1543

Step 4: Therefore, the least common multiple of 6165 and 6172 is 38050380.