Least Common Multiple of 3080 and 3088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3080 and 3088 the smallest integer that is 1188880 that is divisible by both numbers.

Least Common Multiple (LCM) of 3080 and 3088 is 1188880.

LCM(3080,3088) = 1188880

LCM of 3080 and 3088

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

LCM of:
and

Least Common Multiple of 3080 and 3088

LCM of 3080 and 3088 is 1188880

Least common multiple can be found by multiplying the highest exponent prime factors of 3080 and 3088. First we will calculate the prime factors of 3080 and 3088.

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

Prime Factorization of 3088


2 3088
2 1544
2 772
2 386
193 193
1

Prime factors of 3088 are 2,193. Prime factorization of 3088 in exponential form is:

3088 = 24×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3080 and 3088.

LCM(3080,3088) = 24×51×71×111×1931
LCM(3080,3088) = 1188880

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

Factors of 3088

List of positive integer factors of 3088 that divides 3088 without a remainder.

1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088

Least Common Multiple of 3080 and 3088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3080 and 3088, than apply into the LCM equation.

GCF(3080,3088) = 8
LCM(3080,3088) = ( 3080 × 3088) / 8
LCM(3080,3088) = 9511040 / 8
LCM(3080,3088) = 1188880

Properties of LCM 3080 and 3088

(i) The LCM of 3088 and 3080 is associative

LCM of 3080 and 3088 = LCM of 3088 and 3080

Related Least Common Multiples of 3080

Related Least Common Multiples of 3088

Frequently Asked Questions on LCM of 3080 and 3088

1. What is the LCM of 3080 and 3088?

Answer: LCM of 3080 and 3088 is 1188880.

2. 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.

3. What are the Factors of 3088?

Answer: Factors of 3088 are 1, 2, 4, 8, 16, 193, 386, 772, 1544, 3088. There are 10 integers that are factors of 3088. The greatest factor of 3088 is 3088.

4. How to Find the LCM of 3080 and 3088?

Answer:

Least Common Multiple of 3080 and 3088 = 1188880

Step 1: Find the prime factorization of 3080

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

Step 2: Find the prime factorization of 3088

3088 = 2 x 2 x 2 x 2 x 193

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

LCM = 1188880 = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 193

Step 4: Therefore, the least common multiple of 3080 and 3088 is 1188880.