Least Common Multiple of 3087 and 3088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3087 and 3088 the smallest integer that is 9532656 that is divisible by both numbers.

Least Common Multiple (LCM) of 3087 and 3088 is 9532656.

LCM(3087,3088) = 9532656

LCM of 3087 and 3088

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

LCM of:
and

Least Common Multiple of 3087 and 3088

LCM of 3087 and 3088 is 9532656

Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3088. First we will calculate the prime factors of 3087 and 3088.

Prime Factorization of 3087


3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 3087 are 3,7. Prime factorization of 3087 in exponential form is:

3087 = 32×73

Prime Factorization of 3088


2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 3088 are 2,193. Prime factorization of 3088 in exponential form is:

3088 = 24×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3088.

LCM(3087,3088) = 24×32×73×1931
LCM(3087,3088) = 9532656

Factors of 3087

List of positive integer factors of 3087 that divides 3087 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

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

Least Common Multiple of 3087 and 3088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3087 and 3088, than apply into the LCM equation.

GCF(3087,3088) = 1
LCM(3087,3088) = ( 3087 × 3088) / 1
LCM(3087,3088) = 9532656 / 1
LCM(3087,3088) = 9532656

Properties of LCM 3087 and 3088

(i) The LCM of 3088 and 3087 is associative

LCM of 3087 and 3088 = LCM of 3088 and 3087

Related Least Common Multiples of 3087

Related Least Common Multiples of 3088

Frequently Asked Questions on LCM of 3087 and 3088

1. What is the LCM of 3087 and 3088?

Answer: LCM of 3087 and 3088 is 9532656.

2. What are the Factors of 3087?

Answer: Factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087. There are 12 integers that are factors of 3087. The greatest factor of 3087 is 3087.

3. What are the Factors of 3088?

Answer: Factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088. There are 10 integers that are factors of 3088. The greatest factor of 3088 is 3088.

4. How to Find the LCM of 3087 and 3088?

Answer:

Least Common Multiple of 3087 and 3088 = 9532656

Step 1: Find the prime factorization of 3087

3087 = 3 x 3 x 7 x 7 x 7

Step 2: Find the prime factorization of 3088

3088 = 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 = 9532656 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 7 x 193

Step 4: Therefore, the least common multiple of 3087 and 3088 is 9532656.