Least Common Multiple of 7088 and 7096

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 7096 the smallest integer that is 6287056 that is divisible by both numbers.

Least Common Multiple (LCM) of 7088 and 7096 is 6287056.

LCM(7088,7096) = 6287056

LCM of 7088 and 7096

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

LCM of:
and

Least Common Multiple of 7088 and 7096

LCM of 7088 and 7096 is 6287056

Least common multiple can be found by multiplying the highest exponent prime factors of 7088 and 7096. First we will calculate the prime factors of 7088 and 7096.

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 7096


2 7096
2 3548
2 1774
887 887
1

Prime factors of 7096 are 2,887. Prime factorization of 7096 in exponential form is:

7096 = 23×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 7088 and 7096.

LCM(7088,7096) = 24×4431×8871
LCM(7088,7096) = 6287056

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 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1, 2, 4, 8, 887, 1774, 3548, 7096

Least Common Multiple of 7088 and 7096 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 7096, than apply into the LCM equation.

GCF(7088,7096) = 8
LCM(7088,7096) = ( 7088 × 7096) / 8
LCM(7088,7096) = 50296448 / 8
LCM(7088,7096) = 6287056

Properties of LCM 7088 and 7096

(i) The LCM of 7096 and 7088 is associative

LCM of 7088 and 7096 = LCM of 7096 and 7088

Related Least Common Multiples of 7088

Related Least Common Multiples of 7096

Frequently Asked Questions on LCM of 7088 and 7096

1. What is the LCM of 7088 and 7096?

Answer: LCM of 7088 and 7096 is 6287056.

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 7096?

Answer: Factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096. There are 8 integers that are factors of 7096. The greatest factor of 7096 is 7096.

4. How to Find the LCM of 7088 and 7096?

Answer:

Least Common Multiple of 7088 and 7096 = 6287056

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 7096

7096 = 2 x 2 x 2 x 887

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

LCM = 6287056 = 2 x 2 x 2 x 2 x 443 x 887

Step 4: Therefore, the least common multiple of 7088 and 7096 is 6287056.