Least Common Multiple of 8090 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 8090 and 8098 the smallest integer that is 32756410 that is divisible by both numbers.

Least Common Multiple (LCM) of 8090 and 8098 is 32756410.

LCM(8090,8098) = 32756410

LCM of 8090 and 8098

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

LCM of:
and

Least Common Multiple of 8090 and 8098

LCM of 8090 and 8098 is 32756410

Least common multiple can be found by multiplying the highest exponent prime factors of 8090 and 8098. First we will calculate the prime factors of 8090 and 8098.

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 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 8090 and 8098.

LCM(8090,8098) = 21×51×8091×40491
LCM(8090,8098) = 32756410

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 8098

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

1, 2, 4049, 8098

Least Common Multiple of 8090 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 8090 and 8098, than apply into the LCM equation.

GCF(8090,8098) = 2
LCM(8090,8098) = ( 8090 × 8098) / 2
LCM(8090,8098) = 65512820 / 2
LCM(8090,8098) = 32756410

Properties of LCM 8090 and 8098

(i) The LCM of 8098 and 8090 is associative

LCM of 8090 and 8098 = LCM of 8098 and 8090

Related Least Common Multiples of 8090

Related Least Common Multiples of 8098

Frequently Asked Questions on LCM of 8090 and 8098

1. What is the LCM of 8090 and 8098?

Answer: LCM of 8090 and 8098 is 32756410.

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 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 8090 and 8098?

Answer:

Least Common Multiple of 8090 and 8098 = 32756410

Step 1: Find the prime factorization of 8090

8090 = 2 x 5 x 809

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 = 32756410 = 2 x 5 x 809 x 4049

Step 4: Therefore, the least common multiple of 8090 and 8098 is 32756410.