Least Common Multiple of 7086 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 7086 and 7088 the smallest integer that is 25112784 that is divisible by both numbers.

Least Common Multiple (LCM) of 7086 and 7088 is 25112784.

LCM(7086,7088) = 25112784

LCM of 7086 and 7088

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

LCM of:
and

Least Common Multiple of 7086 and 7088

LCM of 7086 and 7088 is 25112784

Least common multiple can be found by multiplying the highest exponent prime factors of 7086 and 7088. First we will calculate the prime factors of 7086 and 7088.

Prime Factorization of 7086


2 7086
3 3543
1181 1181
1

Prime factors of 7086 are 2, 3,1181. Prime factorization of 7086 in exponential form is:

7086 = 21×31×11811

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 7086 and 7088.

LCM(7086,7088) = 24×31×4431×11811
LCM(7086,7088) = 25112784

Factors of 7086

List of positive integer factors of 7086 that divides 7086 without a remainder.

1, 2, 3, 6, 1181, 2362, 3543, 7086

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 7086 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 7086 and 7088, than apply into the LCM equation.

GCF(7086,7088) = 2
LCM(7086,7088) = ( 7086 × 7088) / 2
LCM(7086,7088) = 50225568 / 2
LCM(7086,7088) = 25112784

Properties of LCM 7086 and 7088

(i) The LCM of 7088 and 7086 is associative

LCM of 7086 and 7088 = LCM of 7088 and 7086

Related Least Common Multiples of 7086

Related Least Common Multiples of 7088

Frequently Asked Questions on LCM of 7086 and 7088

1. What is the LCM of 7086 and 7088?

Answer: LCM of 7086 and 7088 is 25112784.

2. What are the Factors of 7086?

Answer: Factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086. There are 8 integers that are factors of 7086. The greatest factor of 7086 is 7086.

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 7086 and 7088?

Answer:

Least Common Multiple of 7086 and 7088 = 25112784

Step 1: Find the prime factorization of 7086

7086 = 2 x 3 x 1181

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 = 25112784 = 2 x 2 x 2 x 2 x 3 x 443 x 1181

Step 4: Therefore, the least common multiple of 7086 and 7088 is 25112784.