Least Common Multiple of 6172 and 6176

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 6176 the smallest integer that is 9529568 that is divisible by both numbers.

Least Common Multiple (LCM) of 6172 and 6176 is 9529568.

LCM(6172,6176) = 9529568

LCM of 6172 and 6176

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

LCM of:
and

Least Common Multiple of 6172 and 6176

LCM of 6172 and 6176 is 9529568

Least common multiple can be found by multiplying the highest exponent prime factors of 6172 and 6176. First we will calculate the prime factors of 6172 and 6176.

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 6176


2 6176
2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 6176 are 2,193. Prime factorization of 6176 in exponential form is:

6176 = 25×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 6172 and 6176.

LCM(6172,6176) = 25×1931×15431
LCM(6172,6176) = 9529568

Factors of 6172

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

1, 2, 4, 1543, 3086, 6172

Factors of 6176

List of positive integer factors of 6176 that divides 6176 without a remainder.

1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176

Least Common Multiple of 6172 and 6176 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 6176, than apply into the LCM equation.

GCF(6172,6176) = 4
LCM(6172,6176) = ( 6172 × 6176) / 4
LCM(6172,6176) = 38118272 / 4
LCM(6172,6176) = 9529568

Properties of LCM 6172 and 6176

(i) The LCM of 6176 and 6172 is associative

LCM of 6172 and 6176 = LCM of 6176 and 6172

Related Least Common Multiples of 6172

Related Least Common Multiples of 6176

Frequently Asked Questions on LCM of 6172 and 6176

1. What is the LCM of 6172 and 6176?

Answer: LCM of 6172 and 6176 is 9529568.

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 6176?

Answer: Factors of 6176 are 1, 2, 4, 8, 16, 32, 193, 386, 772, 1544, 3088, 6176. There are 12 integers that are factors of 6176. The greatest factor of 6176 is 6176.

4. How to Find the LCM of 6172 and 6176?

Answer:

Least Common Multiple of 6172 and 6176 = 9529568

Step 1: Find the prime factorization of 6172

6172 = 2 x 2 x 1543

Step 2: Find the prime factorization of 6176

6176 = 2 x 2 x 2 x 2 x 2 x 193

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

LCM = 9529568 = 2 x 2 x 2 x 2 x 2 x 193 x 1543

Step 4: Therefore, the least common multiple of 6172 and 6176 is 9529568.