Least Common Multiple of 7088 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 7088 and 7090 the smallest integer that is 25126960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7088 and 7090 is 25126960.

LCM(7088,7090) = 25126960

LCM of 7088 and 7090

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

LCM of:
and

Least Common Multiple of 7088 and 7090

LCM of 7088 and 7090 is 25126960

Least common multiple can be found by multiplying the highest exponent prime factors of 7088 and 7090. First we will calculate the prime factors of 7088 and 7090.

Prime Factorization of 7088


2 7088
2 3544
2 1772
2 886
443 443
1

Prime factors of 7088 are 2,443. Prime factorization of 7088 in exponential form is:

7088 = 24×4431

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 7088 and 7090.

LCM(7088,7090) = 24×51×4431×7091
LCM(7088,7090) = 25126960

Factors of 7088

List of positive integer factors of 7088 that divides 7088 without a remainder.

1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088

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 7088 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 7088 and 7090, than apply into the LCM equation.

GCF(7088,7090) = 2
LCM(7088,7090) = ( 7088 × 7090) / 2
LCM(7088,7090) = 50253920 / 2
LCM(7088,7090) = 25126960

Properties of LCM 7088 and 7090

(i) The LCM of 7090 and 7088 is associative

LCM of 7088 and 7090 = LCM of 7090 and 7088

Related Least Common Multiples of 7088

Related Least Common Multiples of 7090

Frequently Asked Questions on LCM of 7088 and 7090

1. What is the LCM of 7088 and 7090?

Answer: LCM of 7088 and 7090 is 25126960.

2. What are the Factors of 7088?

Answer: Factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088. There are 10 integers that are factors of 7088. The greatest factor of 7088 is 7088.

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 7088 and 7090?

Answer:

Least Common Multiple of 7088 and 7090 = 25126960

Step 1: Find the prime factorization of 7088

7088 = 2 x 2 x 2 x 2 x 443

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 = 25126960 = 2 x 2 x 2 x 2 x 5 x 443 x 709

Step 4: Therefore, the least common multiple of 7088 and 7090 is 25126960.