Least Common Multiple of 8083 and 8088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8083 and 8088 the smallest integer that is 65375304 that is divisible by both numbers.

Least Common Multiple (LCM) of 8083 and 8088 is 65375304.

LCM(8083,8088) = 65375304

LCM of 8083 and 8088

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

LCM of:
and

Least Common Multiple of 8083 and 8088

LCM of 8083 and 8088 is 65375304

Least common multiple can be found by multiplying the highest exponent prime factors of 8083 and 8088. First we will calculate the prime factors of 8083 and 8088.

Prime Factorization of 8083


59 8083
137 137
1

Prime factors of 8083 are 59,137. Prime factorization of 8083 in exponential form is:

8083 = 591×1371

Prime Factorization of 8088


2 8088
2 4044
2 2022
3 1011
337 337
1

Prime factors of 8088 are 2, 3,337. Prime factorization of 8088 in exponential form is:

8088 = 23×31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 8083 and 8088.

LCM(8083,8088) = 23×31×591×1371×3371
LCM(8083,8088) = 65375304

Factors of 8083

List of positive integer factors of 8083 that divides 8083 without a remainder.

1, 59, 137, 8083

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088

Least Common Multiple of 8083 and 8088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8083 and 8088, than apply into the LCM equation.

GCF(8083,8088) = 1
LCM(8083,8088) = ( 8083 × 8088) / 1
LCM(8083,8088) = 65375304 / 1
LCM(8083,8088) = 65375304

Properties of LCM 8083 and 8088

(i) The LCM of 8088 and 8083 is associative

LCM of 8083 and 8088 = LCM of 8088 and 8083

Related Least Common Multiples of 8083

Related Least Common Multiples of 8088

Frequently Asked Questions on LCM of 8083 and 8088

1. What is the LCM of 8083 and 8088?

Answer: LCM of 8083 and 8088 is 65375304.

2. What are the Factors of 8083?

Answer: Factors of 8083 are 1, 59, 137, 8083. There are 4 integers that are factors of 8083. The greatest factor of 8083 is 8083.

3. What are the Factors of 8088?

Answer: Factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088. There are 16 integers that are factors of 8088. The greatest factor of 8088 is 8088.

4. How to Find the LCM of 8083 and 8088?

Answer:

Least Common Multiple of 8083 and 8088 = 65375304

Step 1: Find the prime factorization of 8083

8083 = 59 x 137

Step 2: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

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

LCM = 65375304 = 2 x 2 x 2 x 3 x 59 x 137 x 337

Step 4: Therefore, the least common multiple of 8083 and 8088 is 65375304.