Least Common Multiple of 3176 and 3180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3176 and 3180 the smallest integer that is 2524920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3176 and 3180 is 2524920.

LCM(3176,3180) = 2524920

LCM of 3176 and 3180

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

LCM of:
and

Least Common Multiple of 3176 and 3180

LCM of 3176 and 3180 is 2524920

Least common multiple can be found by multiplying the highest exponent prime factors of 3176 and 3180. First we will calculate the prime factors of 3176 and 3180.

Prime Factorization of 3176


2 3176
2 1588
2 794
397 397
1

Prime factors of 3176 are 2,397. Prime factorization of 3176 in exponential form is:

3176 = 23×3971

Prime Factorization of 3180


2 3180
2 1590
3 795
5 265
53 53
1

Prime factors of 3180 are 2, 3, 5,53. Prime factorization of 3180 in exponential form is:

3180 = 22×31×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 3176 and 3180.

LCM(3176,3180) = 23×31×51×531×3971
LCM(3176,3180) = 2524920

Factors of 3176

List of positive integer factors of 3176 that divides 3176 without a remainder.

1, 2, 4, 8, 397, 794, 1588, 3176

Factors of 3180

List of positive integer factors of 3180 that divides 3180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180

Least Common Multiple of 3176 and 3180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3176 and 3180, than apply into the LCM equation.

GCF(3176,3180) = 4
LCM(3176,3180) = ( 3176 × 3180) / 4
LCM(3176,3180) = 10099680 / 4
LCM(3176,3180) = 2524920

Properties of LCM 3176 and 3180

(i) The LCM of 3180 and 3176 is associative

LCM of 3176 and 3180 = LCM of 3180 and 3176

Related Least Common Multiples of 3176

Related Least Common Multiples of 3180

Frequently Asked Questions on LCM of 3176 and 3180

1. What is the LCM of 3176 and 3180?

Answer: LCM of 3176 and 3180 is 2524920.

2. What are the Factors of 3176?

Answer: Factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176. There are 8 integers that are factors of 3176. The greatest factor of 3176 is 3176.

3. What are the Factors of 3180?

Answer: Factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180. There are 24 integers that are factors of 3180. The greatest factor of 3180 is 3180.

4. How to Find the LCM of 3176 and 3180?

Answer:

Least Common Multiple of 3176 and 3180 = 2524920

Step 1: Find the prime factorization of 3176

3176 = 2 x 2 x 2 x 397

Step 2: Find the prime factorization of 3180

3180 = 2 x 2 x 3 x 5 x 53

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

LCM = 2524920 = 2 x 2 x 2 x 3 x 5 x 53 x 397

Step 4: Therefore, the least common multiple of 3176 and 3180 is 2524920.