Least Common Multiple of 3084 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 3084 and 3092 the smallest integer that is 2383932 that is divisible by both numbers.

Least Common Multiple (LCM) of 3084 and 3092 is 2383932.

LCM(3084,3092) = 2383932

LCM of 3084 and 3092

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

LCM of:
and

Least Common Multiple of 3084 and 3092

LCM of 3084 and 3092 is 2383932

Least common multiple can be found by multiplying the highest exponent prime factors of 3084 and 3092. First we will calculate the prime factors of 3084 and 3092.

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 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 3084 and 3092.

LCM(3084,3092) = 22×31×2571×7731
LCM(3084,3092) = 2383932

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 3092

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

1, 2, 4, 773, 1546, 3092

Least Common Multiple of 3084 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 3084 and 3092, than apply into the LCM equation.

GCF(3084,3092) = 4
LCM(3084,3092) = ( 3084 × 3092) / 4
LCM(3084,3092) = 9535728 / 4
LCM(3084,3092) = 2383932

Properties of LCM 3084 and 3092

(i) The LCM of 3092 and 3084 is associative

LCM of 3084 and 3092 = LCM of 3092 and 3084

Related Least Common Multiples of 3084

Related Least Common Multiples of 3092

Frequently Asked Questions on LCM of 3084 and 3092

1. What is the LCM of 3084 and 3092?

Answer: LCM of 3084 and 3092 is 2383932.

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 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 3084 and 3092?

Answer:

Least Common Multiple of 3084 and 3092 = 2383932

Step 1: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

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 = 2383932 = 2 x 2 x 3 x 257 x 773

Step 4: Therefore, the least common multiple of 3084 and 3092 is 2383932.