Least Common Multiple of 7087 and 7088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7087 and 7088 the smallest integer that is 50232656 that is divisible by both numbers.

Least Common Multiple (LCM) of 7087 and 7088 is 50232656.

LCM(7087,7088) = 50232656

LCM of 7087 and 7088

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

LCM of:
and

Least Common Multiple of 7087 and 7088

LCM of 7087 and 7088 is 50232656

Least common multiple can be found by multiplying the highest exponent prime factors of 7087 and 7088. First we will calculate the prime factors of 7087 and 7088.

Prime Factorization of 7087


19 7087
373 373
1

Prime factors of 7087 are 19,373. Prime factorization of 7087 in exponential form is:

7087 = 191×3731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7087 and 7088.

LCM(7087,7088) = 24×191×3731×4431
LCM(7087,7088) = 50232656

Factors of 7087

List of positive integer factors of 7087 that divides 7087 without a remainder.

1, 19, 373, 7087

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

Least Common Multiple of 7087 and 7088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7087 and 7088, than apply into the LCM equation.

GCF(7087,7088) = 1
LCM(7087,7088) = ( 7087 × 7088) / 1
LCM(7087,7088) = 50232656 / 1
LCM(7087,7088) = 50232656

Properties of LCM 7087 and 7088

(i) The LCM of 7088 and 7087 is associative

LCM of 7087 and 7088 = LCM of 7088 and 7087

Related Least Common Multiples of 7087

Related Least Common Multiples of 7088

Frequently Asked Questions on LCM of 7087 and 7088

1. What is the LCM of 7087 and 7088?

Answer: LCM of 7087 and 7088 is 50232656.

2. What are the Factors of 7087?

Answer: Factors of 7087 are 1, 19, 373, 7087. There are 4 integers that are factors of 7087. The greatest factor of 7087 is 7087.

3. 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.

4. How to Find the LCM of 7087 and 7088?

Answer:

Least Common Multiple of 7087 and 7088 = 50232656

Step 1: Find the prime factorization of 7087

7087 = 19 x 373

Step 2: Find the prime factorization of 7088

7088 = 2 x 2 x 2 x 2 x 443

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

LCM = 50232656 = 2 x 2 x 2 x 2 x 19 x 373 x 443

Step 4: Therefore, the least common multiple of 7087 and 7088 is 50232656.