Least Common Multiple of 9864 and 9871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9864 and 9871 the smallest integer that is 97367544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9864 and 9871 is 97367544.

LCM(9864,9871) = 97367544

LCM of 9864 and 9871

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

LCM of:
and

Least Common Multiple of 9864 and 9871

LCM of 9864 and 9871 is 97367544

Least common multiple can be found by multiplying the highest exponent prime factors of 9864 and 9871. First we will calculate the prime factors of 9864 and 9871.

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

Prime Factorization of 9871


9871 9871
1

Prime factors of 9871 are 9871. Prime factorization of 9871 in exponential form is:

9871 = 98711

Now multiplying the highest exponent prime factors to calculate the LCM of 9864 and 9871.

LCM(9864,9871) = 23×32×1371×98711
LCM(9864,9871) = 97367544

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

Factors of 9871

List of positive integer factors of 9871 that divides 9871 without a remainder.

1, 9871

Least Common Multiple of 9864 and 9871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9864 and 9871, than apply into the LCM equation.

GCF(9864,9871) = 1
LCM(9864,9871) = ( 9864 × 9871) / 1
LCM(9864,9871) = 97367544 / 1
LCM(9864,9871) = 97367544

Properties of LCM 9864 and 9871

(i) The LCM of 9871 and 9864 is associative

LCM of 9864 and 9871 = LCM of 9871 and 9864

Related Least Common Multiples of 9864

Related Least Common Multiples of 9871

Frequently Asked Questions on LCM of 9864 and 9871

1. What is the LCM of 9864 and 9871?

Answer: LCM of 9864 and 9871 is 97367544.

2. 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.

3. What are the Factors of 9871?

Answer: Factors of 9871 are 1, 9871. There are 2 integers that are factors of 9871. The greatest factor of 9871 is 9871.

4. How to Find the LCM of 9864 and 9871?

Answer:

Least Common Multiple of 9864 and 9871 = 97367544

Step 1: Find the prime factorization of 9864

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

Step 2: Find the prime factorization of 9871

9871 = 9871

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

LCM = 97367544 = 2 x 2 x 2 x 3 x 3 x 137 x 9871

Step 4: Therefore, the least common multiple of 9864 and 9871 is 97367544.