Least Common Multiple of 9859 and 9864

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 9864 the smallest integer that is 97249176 that is divisible by both numbers.

Least Common Multiple (LCM) of 9859 and 9864 is 97249176.

LCM(9859,9864) = 97249176

LCM of 9859 and 9864

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

LCM of:
and

Least Common Multiple of 9859 and 9864

LCM of 9859 and 9864 is 97249176

Least common multiple can be found by multiplying the highest exponent prime factors of 9859 and 9864. First we will calculate the prime factors of 9859 and 9864.

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 9864


2 9864
2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 9864 are 2, 3,137. Prime factorization of 9864 in exponential form is:

9864 = 23×32×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9859 and 9864.

LCM(9859,9864) = 23×32×1371×98591
LCM(9859,9864) = 97249176

Factors of 9859

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

1, 9859

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864

Least Common Multiple of 9859 and 9864 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 9864, than apply into the LCM equation.

GCF(9859,9864) = 1
LCM(9859,9864) = ( 9859 × 9864) / 1
LCM(9859,9864) = 97249176 / 1
LCM(9859,9864) = 97249176

Properties of LCM 9859 and 9864

(i) The LCM of 9864 and 9859 is associative

LCM of 9859 and 9864 = LCM of 9864 and 9859

Related Least Common Multiples of 9859

Related Least Common Multiples of 9864

Frequently Asked Questions on LCM of 9859 and 9864

1. What is the LCM of 9859 and 9864?

Answer: LCM of 9859 and 9864 is 97249176.

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 9864?

Answer: Factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. There are 24 integers that are factors of 9864. The greatest factor of 9864 is 9864.

4. How to Find the LCM of 9859 and 9864?

Answer:

Least Common Multiple of 9859 and 9864 = 97249176

Step 1: Find the prime factorization of 9859

9859 = 9859

Step 2: Find the prime factorization of 9864

9864 = 2 x 2 x 2 x 3 x 3 x 137

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

LCM = 97249176 = 2 x 2 x 2 x 3 x 3 x 137 x 9859

Step 4: Therefore, the least common multiple of 9859 and 9864 is 97249176.