Least Common Multiple of 9810 and 9818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9810 and 9818 the smallest integer that is 48157290 that is divisible by both numbers.

Least Common Multiple (LCM) of 9810 and 9818 is 48157290.

LCM(9810,9818) = 48157290

LCM of 9810 and 9818

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

LCM of:
and

Least Common Multiple of 9810 and 9818

LCM of 9810 and 9818 is 48157290

Least common multiple can be found by multiplying the highest exponent prime factors of 9810 and 9818. First we will calculate the prime factors of 9810 and 9818.

Prime Factorization of 9810


2 9810
3 4905
3 1635
5 545
109 109
1

Prime factors of 9810 are 2, 3, 5,109. Prime factorization of 9810 in exponential form is:

9810 = 21×32×51×1091

Prime Factorization of 9818


2 9818
4909 4909
1

Prime factors of 9818 are 2,4909. Prime factorization of 9818 in exponential form is:

9818 = 21×49091

Now multiplying the highest exponent prime factors to calculate the LCM of 9810 and 9818.

LCM(9810,9818) = 21×32×51×1091×49091
LCM(9810,9818) = 48157290

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810

Factors of 9818

List of positive integer factors of 9818 that divides 9818 without a remainder.

1, 2, 4909, 9818

Least Common Multiple of 9810 and 9818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9810 and 9818, than apply into the LCM equation.

GCF(9810,9818) = 2
LCM(9810,9818) = ( 9810 × 9818) / 2
LCM(9810,9818) = 96314580 / 2
LCM(9810,9818) = 48157290

Properties of LCM 9810 and 9818

(i) The LCM of 9818 and 9810 is associative

LCM of 9810 and 9818 = LCM of 9818 and 9810

Related Least Common Multiples of 9810

Related Least Common Multiples of 9818

Frequently Asked Questions on LCM of 9810 and 9818

1. What is the LCM of 9810 and 9818?

Answer: LCM of 9810 and 9818 is 48157290.

2. What are the Factors of 9810?

Answer: Factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810. There are 24 integers that are factors of 9810. The greatest factor of 9810 is 9810.

3. What are the Factors of 9818?

Answer: Factors of 9818 are 1, 2, 4909, 9818. There are 4 integers that are factors of 9818. The greatest factor of 9818 is 9818.

4. How to Find the LCM of 9810 and 9818?

Answer:

Least Common Multiple of 9810 and 9818 = 48157290

Step 1: Find the prime factorization of 9810

9810 = 2 x 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 9818

9818 = 2 x 4909

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

LCM = 48157290 = 2 x 3 x 3 x 5 x 109 x 4909

Step 4: Therefore, the least common multiple of 9810 and 9818 is 48157290.