Least Common Multiple of 3087 and 3092

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 3092 the smallest integer that is 9545004 that is divisible by both numbers.

Least Common Multiple (LCM) of 3087 and 3092 is 9545004.

LCM(3087,3092) = 9545004

LCM of 3087 and 3092

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

LCM of:
and

Least Common Multiple of 3087 and 3092

LCM of 3087 and 3092 is 9545004

Least common multiple can be found by multiplying the highest exponent prime factors of 3087 and 3092. First we will calculate the prime factors of 3087 and 3092.

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 3092


2 3092
2 1546
773 773
1

Prime factors of 3092 are 2,773. Prime factorization of 3092 in exponential form is:

3092 = 22×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 3087 and 3092.

LCM(3087,3092) = 22×32×73×7731
LCM(3087,3092) = 9545004

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 3092

List of positive integer factors of 3092 that divides 3092 without a remainder.

1, 2, 4, 773, 1546, 3092

Least Common Multiple of 3087 and 3092 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 3092, than apply into the LCM equation.

GCF(3087,3092) = 1
LCM(3087,3092) = ( 3087 × 3092) / 1
LCM(3087,3092) = 9545004 / 1
LCM(3087,3092) = 9545004

Properties of LCM 3087 and 3092

(i) The LCM of 3092 and 3087 is associative

LCM of 3087 and 3092 = LCM of 3092 and 3087

Related Least Common Multiples of 3087

Related Least Common Multiples of 3092

Frequently Asked Questions on LCM of 3087 and 3092

1. What is the LCM of 3087 and 3092?

Answer: LCM of 3087 and 3092 is 9545004.

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 3092?

Answer: Factors of 3092 are 1, 2, 4, 773, 1546, 3092. There are 6 integers that are factors of 3092. The greatest factor of 3092 is 3092.

4. How to Find the LCM of 3087 and 3092?

Answer:

Least Common Multiple of 3087 and 3092 = 9545004

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 3092

3092 = 2 x 2 x 773

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

LCM = 9545004 = 2 x 2 x 3 x 3 x 7 x 7 x 7 x 773

Step 4: Therefore, the least common multiple of 3087 and 3092 is 9545004.