Least Common Multiple of 6172 and 6179

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 6179 the smallest integer that is 38136788 that is divisible by both numbers.

Least Common Multiple (LCM) of 6172 and 6179 is 38136788.

LCM(6172,6179) = 38136788

LCM of 6172 and 6179

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

LCM of:
and

Least Common Multiple of 6172 and 6179

LCM of 6172 and 6179 is 38136788

Least common multiple can be found by multiplying the highest exponent prime factors of 6172 and 6179. First we will calculate the prime factors of 6172 and 6179.

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 6179


37 6179
167 167
1

Prime factors of 6179 are 37,167. Prime factorization of 6179 in exponential form is:

6179 = 371×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 6172 and 6179.

LCM(6172,6179) = 22×371×1671×15431
LCM(6172,6179) = 38136788

Factors of 6172

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

1, 2, 4, 1543, 3086, 6172

Factors of 6179

List of positive integer factors of 6179 that divides 6179 without a remainder.

1, 37, 167, 6179

Least Common Multiple of 6172 and 6179 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 6179, than apply into the LCM equation.

GCF(6172,6179) = 1
LCM(6172,6179) = ( 6172 × 6179) / 1
LCM(6172,6179) = 38136788 / 1
LCM(6172,6179) = 38136788

Properties of LCM 6172 and 6179

(i) The LCM of 6179 and 6172 is associative

LCM of 6172 and 6179 = LCM of 6179 and 6172

Related Least Common Multiples of 6172

Related Least Common Multiples of 6179

Frequently Asked Questions on LCM of 6172 and 6179

1. What is the LCM of 6172 and 6179?

Answer: LCM of 6172 and 6179 is 38136788.

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 6179?

Answer: Factors of 6179 are 1, 37, 167, 6179. There are 4 integers that are factors of 6179. The greatest factor of 6179 is 6179.

4. How to Find the LCM of 6172 and 6179?

Answer:

Least Common Multiple of 6172 and 6179 = 38136788

Step 1: Find the prime factorization of 6172

6172 = 2 x 2 x 1543

Step 2: Find the prime factorization of 6179

6179 = 37 x 167

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

LCM = 38136788 = 2 x 2 x 37 x 167 x 1543

Step 4: Therefore, the least common multiple of 6172 and 6179 is 38136788.