Least Common Multiple of 9859 and 9862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9859 and 9862 the smallest integer that is 97229458 that is divisible by both numbers.

Least Common Multiple (LCM) of 9859 and 9862 is 97229458.

LCM(9859,9862) = 97229458

LCM of 9859 and 9862

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

LCM of:
and

Least Common Multiple of 9859 and 9862

LCM of 9859 and 9862 is 97229458

Least common multiple can be found by multiplying the highest exponent prime factors of 9859 and 9862. First we will calculate the prime factors of 9859 and 9862.

Prime Factorization of 9859


9859 9859
1

Prime factors of 9859 are 9859. Prime factorization of 9859 in exponential form is:

9859 = 98591

Prime Factorization of 9862


2 9862
4931 4931
1

Prime factors of 9862 are 2,4931. Prime factorization of 9862 in exponential form is:

9862 = 21×49311

Now multiplying the highest exponent prime factors to calculate the LCM of 9859 and 9862.

LCM(9859,9862) = 21×49311×98591
LCM(9859,9862) = 97229458

Factors of 9859

List of positive integer factors of 9859 that divides 9859 without a remainder.

1, 9859

Factors of 9862

List of positive integer factors of 9862 that divides 9862 without a remainder.

1, 2, 4931, 9862

Least Common Multiple of 9859 and 9862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9859 and 9862, than apply into the LCM equation.

GCF(9859,9862) = 1
LCM(9859,9862) = ( 9859 × 9862) / 1
LCM(9859,9862) = 97229458 / 1
LCM(9859,9862) = 97229458

Properties of LCM 9859 and 9862

(i) The LCM of 9862 and 9859 is associative

LCM of 9859 and 9862 = LCM of 9862 and 9859

Related Least Common Multiples of 9859

Related Least Common Multiples of 9862

Frequently Asked Questions on LCM of 9859 and 9862

1. What is the LCM of 9859 and 9862?

Answer: LCM of 9859 and 9862 is 97229458.

2. What are the Factors of 9859?

Answer: Factors of 9859 are 1, 9859. There are 2 integers that are factors of 9859. The greatest factor of 9859 is 9859.

3. What are the Factors of 9862?

Answer: Factors of 9862 are 1, 2, 4931, 9862. There are 4 integers that are factors of 9862. The greatest factor of 9862 is 9862.

4. How to Find the LCM of 9859 and 9862?

Answer:

Least Common Multiple of 9859 and 9862 = 97229458

Step 1: Find the prime factorization of 9859

9859 = 9859

Step 2: Find the prime factorization of 9862

9862 = 2 x 4931

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

LCM = 97229458 = 2 x 4931 x 9859

Step 4: Therefore, the least common multiple of 9859 and 9862 is 97229458.