Least Common Multiple of 6090 and 6098

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6090 and 6098 the smallest integer that is 18568410 that is divisible by both numbers.

Least Common Multiple (LCM) of 6090 and 6098 is 18568410.

LCM(6090,6098) = 18568410

LCM of 6090 and 6098

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

LCM of:
and

Least Common Multiple of 6090 and 6098

LCM of 6090 and 6098 is 18568410

Least common multiple can be found by multiplying the highest exponent prime factors of 6090 and 6098. First we will calculate the prime factors of 6090 and 6098.

Prime Factorization of 6090


2 6090
3 3045
5 1015
7 203
29 29
1

Prime factors of 6090 are 2, 3, 5, 7,29. Prime factorization of 6090 in exponential form is:

6090 = 21×31×51×71×291

Prime Factorization of 6098


2 6098
3049 3049
1

Prime factors of 6098 are 2,3049. Prime factorization of 6098 in exponential form is:

6098 = 21×30491

Now multiplying the highest exponent prime factors to calculate the LCM of 6090 and 6098.

LCM(6090,6098) = 21×31×51×71×291×30491
LCM(6090,6098) = 18568410

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090

Factors of 6098

List of positive integer factors of 6098 that divides 6098 without a remainder.

1, 2, 3049, 6098

Least Common Multiple of 6090 and 6098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6090 and 6098, than apply into the LCM equation.

GCF(6090,6098) = 2
LCM(6090,6098) = ( 6090 × 6098) / 2
LCM(6090,6098) = 37136820 / 2
LCM(6090,6098) = 18568410

Properties of LCM 6090 and 6098

(i) The LCM of 6098 and 6090 is associative

LCM of 6090 and 6098 = LCM of 6098 and 6090

Related Least Common Multiples of 6090

Related Least Common Multiples of 6098

Frequently Asked Questions on LCM of 6090 and 6098

1. What is the LCM of 6090 and 6098?

Answer: LCM of 6090 and 6098 is 18568410.

2. What are the Factors of 6090?

Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.

3. What are the Factors of 6098?

Answer: Factors of 6098 are 1, 2, 3049, 6098. There are 4 integers that are factors of 6098. The greatest factor of 6098 is 6098.

4. How to Find the LCM of 6090 and 6098?

Answer:

Least Common Multiple of 6090 and 6098 = 18568410

Step 1: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 6098

6098 = 2 x 3049

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

LCM = 18568410 = 2 x 3 x 5 x 7 x 29 x 3049

Step 4: Therefore, the least common multiple of 6090 and 6098 is 18568410.