Least Common Multiple of 3077 and 3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3077 and 3084 the smallest integer that is 9489468 that is divisible by both numbers.

Least Common Multiple (LCM) of 3077 and 3084 is 9489468.

LCM(3077,3084) = 9489468

LCM of 3077 and 3084

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

LCM of:
and

Least Common Multiple of 3077 and 3084

LCM of 3077 and 3084 is 9489468

Least common multiple can be found by multiplying the highest exponent prime factors of 3077 and 3084. First we will calculate the prime factors of 3077 and 3084.

Prime Factorization of 3077


17 3077
181 181
1

Prime factors of 3077 are 17,181. Prime factorization of 3077 in exponential form is:

3077 = 171×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3077 and 3084.

LCM(3077,3084) = 22×31×171×1811×2571
LCM(3077,3084) = 9489468

Factors of 3077

List of positive integer factors of 3077 that divides 3077 without a remainder.

1, 17, 181, 3077

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

Least Common Multiple of 3077 and 3084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3077 and 3084, than apply into the LCM equation.

GCF(3077,3084) = 1
LCM(3077,3084) = ( 3077 × 3084) / 1
LCM(3077,3084) = 9489468 / 1
LCM(3077,3084) = 9489468

Properties of LCM 3077 and 3084

(i) The LCM of 3084 and 3077 is associative

LCM of 3077 and 3084 = LCM of 3084 and 3077

Related Least Common Multiples of 3077

Related Least Common Multiples of 3084

Frequently Asked Questions on LCM of 3077 and 3084

1. What is the LCM of 3077 and 3084?

Answer: LCM of 3077 and 3084 is 9489468.

2. What are the Factors of 3077?

Answer: Factors of 3077 are 1, 17, 181, 3077. There are 4 integers that are factors of 3077. The greatest factor of 3077 is 3077.

3. 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.

4. How to Find the LCM of 3077 and 3084?

Answer:

Least Common Multiple of 3077 and 3084 = 9489468

Step 1: Find the prime factorization of 3077

3077 = 17 x 181

Step 2: Find the prime factorization of 3084

3084 = 2 x 2 x 3 x 257

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

LCM = 9489468 = 2 x 2 x 3 x 17 x 181 x 257

Step 4: Therefore, the least common multiple of 3077 and 3084 is 9489468.