Least Common Multiple of 4090 and 4098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4090 and 4098 the smallest integer that is 8380410 that is divisible by both numbers.

Least Common Multiple (LCM) of 4090 and 4098 is 8380410.

LCM(4090,4098) = 8380410

LCM of 4090 and 4098

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

LCM of:
and

Least Common Multiple of 4090 and 4098

LCM of 4090 and 4098 is 8380410

Least common multiple can be found by multiplying the highest exponent prime factors of 4090 and 4098. First we will calculate the prime factors of 4090 and 4098.

Prime Factorization of 4090


2 4090
5 2045
409 409
1

Prime factors of 4090 are 2, 5,409. Prime factorization of 4090 in exponential form is:

4090 = 21×51×4091

Prime Factorization of 4098


2 4098
3 2049
683 683
1

Prime factors of 4098 are 2, 3,683. Prime factorization of 4098 in exponential form is:

4098 = 21×31×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 4090 and 4098.

LCM(4090,4098) = 21×31×51×4091×6831
LCM(4090,4098) = 8380410

Factors of 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1, 2, 5, 10, 409, 818, 2045, 4090

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1, 2, 3, 6, 683, 1366, 2049, 4098

Least Common Multiple of 4090 and 4098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4090 and 4098, than apply into the LCM equation.

GCF(4090,4098) = 2
LCM(4090,4098) = ( 4090 × 4098) / 2
LCM(4090,4098) = 16760820 / 2
LCM(4090,4098) = 8380410

Properties of LCM 4090 and 4098

(i) The LCM of 4098 and 4090 is associative

LCM of 4090 and 4098 = LCM of 4098 and 4090

Related Least Common Multiples of 4090

Related Least Common Multiples of 4098

Frequently Asked Questions on LCM of 4090 and 4098

1. What is the LCM of 4090 and 4098?

Answer: LCM of 4090 and 4098 is 8380410.

2. What are the Factors of 4090?

Answer: Factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090. There are 8 integers that are factors of 4090. The greatest factor of 4090 is 4090.

3. What are the Factors of 4098?

Answer: Factors of 4098 are 1, 2, 3, 6, 683, 1366, 2049, 4098. There are 8 integers that are factors of 4098. The greatest factor of 4098 is 4098.

4. How to Find the LCM of 4090 and 4098?

Answer:

Least Common Multiple of 4090 and 4098 = 8380410

Step 1: Find the prime factorization of 4090

4090 = 2 x 5 x 409

Step 2: Find the prime factorization of 4098

4098 = 2 x 3 x 683

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

LCM = 8380410 = 2 x 3 x 5 x 409 x 683

Step 4: Therefore, the least common multiple of 4090 and 4098 is 8380410.