Least Common Multiple of 6172 and 6177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6172 and 6177 the smallest integer that is 38124444 that is divisible by both numbers.

Least Common Multiple (LCM) of 6172 and 6177 is 38124444.

LCM(6172,6177) = 38124444

LCM of 6172 and 6177

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

LCM of:
and

Least Common Multiple of 6172 and 6177

LCM of 6172 and 6177 is 38124444

Least common multiple can be found by multiplying the highest exponent prime factors of 6172 and 6177. First we will calculate the prime factors of 6172 and 6177.

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

Prime Factorization of 6177


3 6177
29 2059
71 71
1

Prime factors of 6177 are 3, 29,71. Prime factorization of 6177 in exponential form is:

6177 = 31×291×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6172 and 6177.

LCM(6172,6177) = 22×31×291×711×15431
LCM(6172,6177) = 38124444

Factors of 6172

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

1, 2, 4, 1543, 3086, 6172

Factors of 6177

List of positive integer factors of 6177 that divides 6177 without a remainder.

1, 3, 29, 71, 87, 213, 2059, 6177

Least Common Multiple of 6172 and 6177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6172 and 6177, than apply into the LCM equation.

GCF(6172,6177) = 1
LCM(6172,6177) = ( 6172 × 6177) / 1
LCM(6172,6177) = 38124444 / 1
LCM(6172,6177) = 38124444

Properties of LCM 6172 and 6177

(i) The LCM of 6177 and 6172 is associative

LCM of 6172 and 6177 = LCM of 6177 and 6172

Related Least Common Multiples of 6172

Related Least Common Multiples of 6177

Frequently Asked Questions on LCM of 6172 and 6177

1. What is the LCM of 6172 and 6177?

Answer: LCM of 6172 and 6177 is 38124444.

2. 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.

3. What are the Factors of 6177?

Answer: Factors of 6177 are 1, 3, 29, 71, 87, 213, 2059, 6177. There are 8 integers that are factors of 6177. The greatest factor of 6177 is 6177.

4. How to Find the LCM of 6172 and 6177?

Answer:

Least Common Multiple of 6172 and 6177 = 38124444

Step 1: Find the prime factorization of 6172

6172 = 2 x 2 x 1543

Step 2: Find the prime factorization of 6177

6177 = 3 x 29 x 71

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

LCM = 38124444 = 2 x 2 x 3 x 29 x 71 x 1543

Step 4: Therefore, the least common multiple of 6172 and 6177 is 38124444.