Least Common Multiple of 7084 and 7090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7084 and 7090 the smallest integer that is 25112780 that is divisible by both numbers.

Least Common Multiple (LCM) of 7084 and 7090 is 25112780.

LCM(7084,7090) = 25112780

LCM of 7084 and 7090

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

LCM of:
and

Least Common Multiple of 7084 and 7090

LCM of 7084 and 7090 is 25112780

Least common multiple can be found by multiplying the highest exponent prime factors of 7084 and 7090. First we will calculate the prime factors of 7084 and 7090.

Prime Factorization of 7084


2 7084
2 3542
7 1771
11 253
23 23
1

Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:

7084 = 22×71×111×231

Prime Factorization of 7090


2 7090
5 3545
709 709
1

Prime factors of 7090 are 2, 5,709. Prime factorization of 7090 in exponential form is:

7090 = 21×51×7091

Now multiplying the highest exponent prime factors to calculate the LCM of 7084 and 7090.

LCM(7084,7090) = 22×51×71×111×231×7091
LCM(7084,7090) = 25112780

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1, 2, 5, 10, 709, 1418, 3545, 7090

Least Common Multiple of 7084 and 7090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7084 and 7090, than apply into the LCM equation.

GCF(7084,7090) = 2
LCM(7084,7090) = ( 7084 × 7090) / 2
LCM(7084,7090) = 50225560 / 2
LCM(7084,7090) = 25112780

Properties of LCM 7084 and 7090

(i) The LCM of 7090 and 7084 is associative

LCM of 7084 and 7090 = LCM of 7090 and 7084

Related Least Common Multiples of 7084

Related Least Common Multiples of 7090

Frequently Asked Questions on LCM of 7084 and 7090

1. What is the LCM of 7084 and 7090?

Answer: LCM of 7084 and 7090 is 25112780.

2. What are the Factors of 7084?

Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.

3. What are the Factors of 7090?

Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.

4. How to Find the LCM of 7084 and 7090?

Answer:

Least Common Multiple of 7084 and 7090 = 25112780

Step 1: Find the prime factorization of 7084

7084 = 2 x 2 x 7 x 11 x 23

Step 2: Find the prime factorization of 7090

7090 = 2 x 5 x 709

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

LCM = 25112780 = 2 x 2 x 5 x 7 x 11 x 23 x 709

Step 4: Therefore, the least common multiple of 7084 and 7090 is 25112780.