Least Common Multiple of 3084 and 3090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3084 and 3090 the smallest integer that is 1588260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3084 and 3090 is 1588260.

LCM(3084,3090) = 1588260

LCM of 3084 and 3090

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

LCM of:
and

Least Common Multiple of 3084 and 3090

LCM of 3084 and 3090 is 1588260

Least common multiple can be found by multiplying the highest exponent prime factors of 3084 and 3090. First we will calculate the prime factors of 3084 and 3090.

Prime Factorization of 3084


2 3084
2 1542
3 771
257 257
1

Prime factors of 3084 are 2, 3,257. Prime factorization of 3084 in exponential form is:

3084 = 22×31×2571

Prime Factorization of 3090


2 3090
3 1545
5 515
103 103
1

Prime factors of 3090 are 2, 3, 5,103. Prime factorization of 3090 in exponential form is:

3090 = 21×31×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3084 and 3090.

LCM(3084,3090) = 22×31×51×1031×2571
LCM(3084,3090) = 1588260

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084

Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090

Least Common Multiple of 3084 and 3090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3084 and 3090, than apply into the LCM equation.

GCF(3084,3090) = 6
LCM(3084,3090) = ( 3084 × 3090) / 6
LCM(3084,3090) = 9529560 / 6
LCM(3084,3090) = 1588260

Properties of LCM 3084 and 3090

(i) The LCM of 3090 and 3084 is associative

LCM of 3084 and 3090 = LCM of 3090 and 3084

Related Least Common Multiples of 3084

Related Least Common Multiples of 3090

Frequently Asked Questions on LCM of 3084 and 3090

1. What is the LCM of 3084 and 3090?

Answer: LCM of 3084 and 3090 is 1588260.

2. What are the Factors of 3084?

Answer: Factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084. There are 12 integers that are factors of 3084. The greatest factor of 3084 is 3084.

3. What are the Factors of 3090?

Answer: Factors of 3090 are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090. There are 16 integers that are factors of 3090. The greatest factor of 3090 is 3090.

4. How to Find the LCM of 3084 and 3090?

Answer:

Least Common Multiple of 3084 and 3090 = 1588260

Step 1: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

Step 2: Find the prime factorization of 3090

3090 = 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 = 1588260 = 2 x 2 x 3 x 5 x 103 x 257

Step 4: Therefore, the least common multiple of 3084 and 3090 is 1588260.