Least Common Multiple of 8088 and 8094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8088 and 8094 the smallest integer that is 10910712 that is divisible by both numbers.

Least Common Multiple (LCM) of 8088 and 8094 is 10910712.

LCM(8088,8094) = 10910712

LCM of 8088 and 8094

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

LCM of:
and

Least Common Multiple of 8088 and 8094

LCM of 8088 and 8094 is 10910712

Least common multiple can be found by multiplying the highest exponent prime factors of 8088 and 8094. First we will calculate the prime factors of 8088 and 8094.

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

Prime Factorization of 8094


2 8094
3 4047
19 1349
71 71
1

Prime factors of 8094 are 2, 3, 19,71. Prime factorization of 8094 in exponential form is:

8094 = 21×31×191×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8088 and 8094.

LCM(8088,8094) = 23×31×191×711×3371
LCM(8088,8094) = 10910712

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

Factors of 8094

List of positive integer factors of 8094 that divides 8094 without a remainder.

1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094

Least Common Multiple of 8088 and 8094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8088 and 8094, than apply into the LCM equation.

GCF(8088,8094) = 6
LCM(8088,8094) = ( 8088 × 8094) / 6
LCM(8088,8094) = 65464272 / 6
LCM(8088,8094) = 10910712

Properties of LCM 8088 and 8094

(i) The LCM of 8094 and 8088 is associative

LCM of 8088 and 8094 = LCM of 8094 and 8088

Related Least Common Multiples of 8088

Related Least Common Multiples of 8094

Frequently Asked Questions on LCM of 8088 and 8094

1. What is the LCM of 8088 and 8094?

Answer: LCM of 8088 and 8094 is 10910712.

2. 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.

3. What are the Factors of 8094?

Answer: Factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094. There are 16 integers that are factors of 8094. The greatest factor of 8094 is 8094.

4. How to Find the LCM of 8088 and 8094?

Answer:

Least Common Multiple of 8088 and 8094 = 10910712

Step 1: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

Step 2: Find the prime factorization of 8094

8094 = 2 x 3 x 19 x 71

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

LCM = 10910712 = 2 x 2 x 2 x 3 x 19 x 71 x 337

Step 4: Therefore, the least common multiple of 8088 and 8094 is 10910712.