Least Common Multiple of 8090 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 8090 and 8094 the smallest integer that is 32740230 that is divisible by both numbers.

Least Common Multiple (LCM) of 8090 and 8094 is 32740230.

LCM(8090,8094) = 32740230

LCM of 8090 and 8094

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

LCM of:
and

Least Common Multiple of 8090 and 8094

LCM of 8090 and 8094 is 32740230

Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8094. First we will calculate the prime factors of 8090 and 8094.

Prime Factorization of 8090


2 8090
5 4045
809 809
1

Prime factors of 8090 are 2, 5,809. Prime factorization of 8090 in exponential form is:

8090 = 21×51×8091

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 8090 and 8094.

LCM(8090,8094) = 21×31×51×191×711×8091
LCM(8090,8094) = 32740230

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1, 2, 5, 10, 809, 1618, 4045, 8090

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 8090 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 8090 and 8094, than apply into the LCM equation.

GCF(8090,8094) = 2
LCM(8090,8094) = ( 8090 × 8094) / 2
LCM(8090,8094) = 65480460 / 2
LCM(8090,8094) = 32740230

Properties of LCM 8090 and 8094

(i) The LCM of 8094 and 8090 is associative

LCM of 8090 and 8094 = LCM of 8094 and 8090

Related Least Common Multiples of 8090

Related Least Common Multiples of 8094

Frequently Asked Questions on LCM of 8090 and 8094

1. What is the LCM of 8090 and 8094?

Answer: LCM of 8090 and 8094 is 32740230.

2. What are the Factors of 8090?

Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.

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 8090 and 8094?

Answer:

Least Common Multiple of 8090 and 8094 = 32740230

Step 1: Find the prime factorization of 8090

8090 = 2 x 5 x 809

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 = 32740230 = 2 x 3 x 5 x 19 x 71 x 809

Step 4: Therefore, the least common multiple of 8090 and 8094 is 32740230.