Least Common Multiple of 9850 and 9856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9850 and 9856 the smallest integer that is 48540800 that is divisible by both numbers.

Least Common Multiple (LCM) of 9850 and 9856 is 48540800.

LCM(9850,9856) = 48540800

LCM of 9850 and 9856

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

LCM of:
and

Least Common Multiple of 9850 and 9856

LCM of 9850 and 9856 is 48540800

Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9856. First we will calculate the prime factors of 9850 and 9856.

Prime Factorization of 9850


2 9850
5 4925
5 985
197 197
1

Prime factors of 9850 are 2, 5,197. Prime factorization of 9850 in exponential form is:

9850 = 21×52×1971

Prime Factorization of 9856


2 9856
2 4928
2 2464
2 1232
2 616
2 308
2 154
7 77
11 11
1

Prime factors of 9856 are 2, 7,11. Prime factorization of 9856 in exponential form is:

9856 = 27×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9856.

LCM(9850,9856) = 27×52×71×111×1971
LCM(9850,9856) = 48540800

Factors of 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850

Factors of 9856

List of positive integer factors of 9856 that divides 9856 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856

Least Common Multiple of 9850 and 9856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9850 and 9856, than apply into the LCM equation.

GCF(9850,9856) = 2
LCM(9850,9856) = ( 9850 × 9856) / 2
LCM(9850,9856) = 97081600 / 2
LCM(9850,9856) = 48540800

Properties of LCM 9850 and 9856

(i) The LCM of 9856 and 9850 is associative

LCM of 9850 and 9856 = LCM of 9856 and 9850

Related Least Common Multiples of 9850

Related Least Common Multiples of 9856

Frequently Asked Questions on LCM of 9850 and 9856

1. What is the LCM of 9850 and 9856?

Answer: LCM of 9850 and 9856 is 48540800.

2. What are the Factors of 9850?

Answer: Factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850. There are 12 integers that are factors of 9850. The greatest factor of 9850 is 9850.

3. What are the Factors of 9856?

Answer: Factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856. There are 32 integers that are factors of 9856. The greatest factor of 9856 is 9856.

4. How to Find the LCM of 9850 and 9856?

Answer:

Least Common Multiple of 9850 and 9856 = 48540800

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9856

9856 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

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

LCM = 48540800 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 197

Step 4: Therefore, the least common multiple of 9850 and 9856 is 48540800.