Least Common Multiple of 9864 and 9870

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 9870 the smallest integer that is 16226280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9864 and 9870 is 16226280.

LCM(9864,9870) = 16226280

LCM of 9864 and 9870

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

LCM of:
and

Least Common Multiple of 9864 and 9870

LCM of 9864 and 9870 is 16226280

Least common multiple can be found by multiplying the highest exponent prime factors of 9864 and 9870. First we will calculate the prime factors of 9864 and 9870.

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 9870


2 9870
3 4935
5 1645
7 329
47 47
1

Prime factors of 9870 are 2, 3, 5, 7,47. Prime factorization of 9870 in exponential form is:

9870 = 21×31×51×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 9864 and 9870.

LCM(9864,9870) = 23×32×51×71×471×1371
LCM(9864,9870) = 16226280

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 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870

Least Common Multiple of 9864 and 9870 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 9870, than apply into the LCM equation.

GCF(9864,9870) = 6
LCM(9864,9870) = ( 9864 × 9870) / 6
LCM(9864,9870) = 97357680 / 6
LCM(9864,9870) = 16226280

Properties of LCM 9864 and 9870

(i) The LCM of 9870 and 9864 is associative

LCM of 9864 and 9870 = LCM of 9870 and 9864

Related Least Common Multiples of 9864

Related Least Common Multiples of 9870

Frequently Asked Questions on LCM of 9864 and 9870

1. What is the LCM of 9864 and 9870?

Answer: LCM of 9864 and 9870 is 16226280.

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 9870?

Answer: Factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870. There are 32 integers that are factors of 9870. The greatest factor of 9870 is 9870.

4. How to Find the LCM of 9864 and 9870?

Answer:

Least Common Multiple of 9864 and 9870 = 16226280

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 9870

9870 = 2 x 3 x 5 x 7 x 47

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

LCM = 16226280 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 47 x 137

Step 4: Therefore, the least common multiple of 9864 and 9870 is 16226280.