Least Common Multiple of 6176 and 6180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6176 and 6180 the smallest integer that is 9541920 that is divisible by both numbers.

Least Common Multiple (LCM) of 6176 and 6180 is 9541920.

LCM(6176,6180) = 9541920

LCM of 6176 and 6180

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

LCM of:
and

Least Common Multiple of 6176 and 6180

LCM of 6176 and 6180 is 9541920

Least common multiple can be found by multiplying the highest exponent prime factors of 6176 and 6180. First we will calculate the prime factors of 6176 and 6180.

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

Prime Factorization of 6180


2 6180
2 3090
3 1545
5 515
103 103
1

Prime factors of 6180 are 2, 3, 5,103. Prime factorization of 6180 in exponential form is:

6180 = 22×31×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6176 and 6180.

LCM(6176,6180) = 25×31×51×1031×1931
LCM(6176,6180) = 9541920

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

Factors of 6180

List of positive integer factors of 6180 that divides 6180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180

Least Common Multiple of 6176 and 6180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6176 and 6180, than apply into the LCM equation.

GCF(6176,6180) = 4
LCM(6176,6180) = ( 6176 × 6180) / 4
LCM(6176,6180) = 38167680 / 4
LCM(6176,6180) = 9541920

Properties of LCM 6176 and 6180

(i) The LCM of 6180 and 6176 is associative

LCM of 6176 and 6180 = LCM of 6180 and 6176

Related Least Common Multiples of 6176

Related Least Common Multiples of 6180

Frequently Asked Questions on LCM of 6176 and 6180

1. What is the LCM of 6176 and 6180?

Answer: LCM of 6176 and 6180 is 9541920.

2. 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.

3. What are the Factors of 6180?

Answer: Factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180. There are 24 integers that are factors of 6180. The greatest factor of 6180 is 6180.

4. How to Find the LCM of 6176 and 6180?

Answer:

Least Common Multiple of 6176 and 6180 = 9541920

Step 1: Find the prime factorization of 6176

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

Step 2: Find the prime factorization of 6180

6180 = 2 x 2 x 3 x 5 x 103

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

LCM = 9541920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 103 x 193

Step 4: Therefore, the least common multiple of 6176 and 6180 is 9541920.