Least Common Multiple of 3076 and 3080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3076 and 3080 the smallest integer that is 2368520 that is divisible by both numbers.

Least Common Multiple (LCM) of 3076 and 3080 is 2368520.

LCM(3076,3080) = 2368520

LCM of 3076 and 3080

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

LCM of:
and

Least Common Multiple of 3076 and 3080

LCM of 3076 and 3080 is 2368520

Least common multiple can be found by multiplying the highest exponent prime factors of 3076 and 3080. First we will calculate the prime factors of 3076 and 3080.

Prime Factorization of 3076


2 3076
2 1538
769 769
1

Prime factors of 3076 are 2,769. Prime factorization of 3076 in exponential form is:

3076 = 22×7691

Prime Factorization of 3080


2 3080
2 1540
2 770
5 385
7 77
11 11
1

Prime factors of 3080 are 2, 5, 7,11. Prime factorization of 3080 in exponential form is:

3080 = 23×51×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3076 and 3080.

LCM(3076,3080) = 23×51×71×111×7691
LCM(3076,3080) = 2368520

Factors of 3076

List of positive integer factors of 3076 that divides 3076 without a remainder.

1, 2, 4, 769, 1538, 3076

Factors of 3080

List of positive integer factors of 3080 that divides 3080 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080

Least Common Multiple of 3076 and 3080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3076 and 3080, than apply into the LCM equation.

GCF(3076,3080) = 4
LCM(3076,3080) = ( 3076 × 3080) / 4
LCM(3076,3080) = 9474080 / 4
LCM(3076,3080) = 2368520

Properties of LCM 3076 and 3080

(i) The LCM of 3080 and 3076 is associative

LCM of 3076 and 3080 = LCM of 3080 and 3076

Related Least Common Multiples of 3076

Related Least Common Multiples of 3080

Frequently Asked Questions on LCM of 3076 and 3080

1. What is the LCM of 3076 and 3080?

Answer: LCM of 3076 and 3080 is 2368520.

2. What are the Factors of 3076?

Answer: Factors of 3076 are 1, 2, 4, 769, 1538, 3076. There are 6 integers that are factors of 3076. The greatest factor of 3076 is 3076.

3. What are the Factors of 3080?

Answer: Factors of 3080 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 88, 110, 140, 154, 220, 280, 308, 385, 440, 616, 770, 1540, 3080. There are 32 integers that are factors of 3080. The greatest factor of 3080 is 3080.

4. How to Find the LCM of 3076 and 3080?

Answer:

Least Common Multiple of 3076 and 3080 = 2368520

Step 1: Find the prime factorization of 3076

3076 = 2 x 2 x 769

Step 2: Find the prime factorization of 3080

3080 = 2 x 2 x 2 x 5 x 7 x 11

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

LCM = 2368520 = 2 x 2 x 2 x 5 x 7 x 11 x 769

Step 4: Therefore, the least common multiple of 3076 and 3080 is 2368520.