Least Common Multiple of 9810 and 9814

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 9814 the smallest integer that is 48137670 that is divisible by both numbers.

Least Common Multiple (LCM) of 9810 and 9814 is 48137670.

LCM(9810,9814) = 48137670

LCM of 9810 and 9814

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

LCM of:
and

Least Common Multiple of 9810 and 9814

LCM of 9810 and 9814 is 48137670

Least common multiple can be found by multiplying the highest exponent prime factors of 9810 and 9814. First we will calculate the prime factors of 9810 and 9814.

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 9814


2 9814
7 4907
701 701
1

Prime factors of 9814 are 2, 7,701. Prime factorization of 9814 in exponential form is:

9814 = 21×71×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 9810 and 9814.

LCM(9810,9814) = 21×32×51×71×1091×7011
LCM(9810,9814) = 48137670

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 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1, 2, 7, 14, 701, 1402, 4907, 9814

Least Common Multiple of 9810 and 9814 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 9814, than apply into the LCM equation.

GCF(9810,9814) = 2
LCM(9810,9814) = ( 9810 × 9814) / 2
LCM(9810,9814) = 96275340 / 2
LCM(9810,9814) = 48137670

Properties of LCM 9810 and 9814

(i) The LCM of 9814 and 9810 is associative

LCM of 9810 and 9814 = LCM of 9814 and 9810

Related Least Common Multiples of 9810

Related Least Common Multiples of 9814

Frequently Asked Questions on LCM of 9810 and 9814

1. What is the LCM of 9810 and 9814?

Answer: LCM of 9810 and 9814 is 48137670.

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 9814?

Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.

4. How to Find the LCM of 9810 and 9814?

Answer:

Least Common Multiple of 9810 and 9814 = 48137670

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 9814

9814 = 2 x 7 x 701

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

LCM = 48137670 = 2 x 3 x 3 x 5 x 7 x 109 x 701

Step 4: Therefore, the least common multiple of 9810 and 9814 is 48137670.