Least Common Multiple of 8094 and 8098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8094 and 8098 the smallest integer that is 32772606 that is divisible by both numbers.

Least Common Multiple (LCM) of 8094 and 8098 is 32772606.

LCM(8094,8098) = 32772606

LCM of 8094 and 8098

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

LCM of:
and

Least Common Multiple of 8094 and 8098

LCM of 8094 and 8098 is 32772606

Least common multiple can be found by multiplying the highest exponent prime factors of 8094 and 8098. First we will calculate the prime factors of 8094 and 8098.

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

Prime Factorization of 8098


2 8098
4049 4049
1

Prime factors of 8098 are 2,4049. Prime factorization of 8098 in exponential form is:

8098 = 21×40491

Now multiplying the highest exponent prime factors to calculate the LCM of 8094 and 8098.

LCM(8094,8098) = 21×31×191×711×40491
LCM(8094,8098) = 32772606

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

Factors of 8098

List of positive integer factors of 8098 that divides 8098 without a remainder.

1, 2, 4049, 8098

Least Common Multiple of 8094 and 8098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8094 and 8098, than apply into the LCM equation.

GCF(8094,8098) = 2
LCM(8094,8098) = ( 8094 × 8098) / 2
LCM(8094,8098) = 65545212 / 2
LCM(8094,8098) = 32772606

Properties of LCM 8094 and 8098

(i) The LCM of 8098 and 8094 is associative

LCM of 8094 and 8098 = LCM of 8098 and 8094

Related Least Common Multiples of 8094

Related Least Common Multiples of 8098

Frequently Asked Questions on LCM of 8094 and 8098

1. What is the LCM of 8094 and 8098?

Answer: LCM of 8094 and 8098 is 32772606.

2. 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.

3. What are the Factors of 8098?

Answer: Factors of 8098 are 1, 2, 4049, 8098. There are 4 integers that are factors of 8098. The greatest factor of 8098 is 8098.

4. How to Find the LCM of 8094 and 8098?

Answer:

Least Common Multiple of 8094 and 8098 = 32772606

Step 1: Find the prime factorization of 8094

8094 = 2 x 3 x 19 x 71

Step 2: Find the prime factorization of 8098

8098 = 2 x 4049

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

LCM = 32772606 = 2 x 3 x 19 x 71 x 4049

Step 4: Therefore, the least common multiple of 8094 and 8098 is 32772606.