Least Common Multiple of 9825 and 9830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9825 and 9830 the smallest integer that is 19315950 that is divisible by both numbers.

Least Common Multiple (LCM) of 9825 and 9830 is 19315950.

LCM(9825,9830) = 19315950

LCM of 9825 and 9830

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

LCM of:
and

Least Common Multiple of 9825 and 9830

LCM of 9825 and 9830 is 19315950

Least common multiple can be found by multiplying the highest exponent prime factors of 9825 and 9830. First we will calculate the prime factors of 9825 and 9830.

Prime Factorization of 9825


3 9825
5 3275
5 655
131 131
1

Prime factors of 9825 are 3, 5,131. Prime factorization of 9825 in exponential form is:

9825 = 31×52×1311

Prime Factorization of 9830


2 9830
5 4915
983 983
1

Prime factors of 9830 are 2, 5,983. Prime factorization of 9830 in exponential form is:

9830 = 21×51×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 9825 and 9830.

LCM(9825,9830) = 21×31×52×1311×9831
LCM(9825,9830) = 19315950

Factors of 9825

List of positive integer factors of 9825 that divides 9825 without a remainder.

1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1, 2, 5, 10, 983, 1966, 4915, 9830

Least Common Multiple of 9825 and 9830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9825 and 9830, than apply into the LCM equation.

GCF(9825,9830) = 5
LCM(9825,9830) = ( 9825 × 9830) / 5
LCM(9825,9830) = 96579750 / 5
LCM(9825,9830) = 19315950

Properties of LCM 9825 and 9830

(i) The LCM of 9830 and 9825 is associative

LCM of 9825 and 9830 = LCM of 9830 and 9825

Related Least Common Multiples of 9825

Related Least Common Multiples of 9830

Frequently Asked Questions on LCM of 9825 and 9830

1. What is the LCM of 9825 and 9830?

Answer: LCM of 9825 and 9830 is 19315950.

2. What are the Factors of 9825?

Answer: Factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825. There are 12 integers that are factors of 9825. The greatest factor of 9825 is 9825.

3. What are the Factors of 9830?

Answer: Factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830. There are 8 integers that are factors of 9830. The greatest factor of 9830 is 9830.

4. How to Find the LCM of 9825 and 9830?

Answer:

Least Common Multiple of 9825 and 9830 = 19315950

Step 1: Find the prime factorization of 9825

9825 = 3 x 5 x 5 x 131

Step 2: Find the prime factorization of 9830

9830 = 2 x 5 x 983

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

LCM = 19315950 = 2 x 3 x 5 x 5 x 131 x 983

Step 4: Therefore, the least common multiple of 9825 and 9830 is 19315950.