Least Common Multiple of 9850 and 9855

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 9855 the smallest integer that is 19414350 that is divisible by both numbers.

Least Common Multiple (LCM) of 9850 and 9855 is 19414350.

LCM(9850,9855) = 19414350

LCM of 9850 and 9855

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

LCM of:
and

Least Common Multiple of 9850 and 9855

LCM of 9850 and 9855 is 19414350

Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9855. First we will calculate the prime factors of 9850 and 9855.

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 9855


3 9855
3 3285
3 1095
5 365
73 73
1

Prime factors of 9855 are 3, 5,73. Prime factorization of 9855 in exponential form is:

9855 = 33×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9855.

LCM(9850,9855) = 21×33×52×731×1971
LCM(9850,9855) = 19414350

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 9855

List of positive integer factors of 9855 that divides 9855 without a remainder.

1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855

Least Common Multiple of 9850 and 9855 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 9855, than apply into the LCM equation.

GCF(9850,9855) = 5
LCM(9850,9855) = ( 9850 × 9855) / 5
LCM(9850,9855) = 97071750 / 5
LCM(9850,9855) = 19414350

Properties of LCM 9850 and 9855

(i) The LCM of 9855 and 9850 is associative

LCM of 9850 and 9855 = LCM of 9855 and 9850

Related Least Common Multiples of 9850

Related Least Common Multiples of 9855

Frequently Asked Questions on LCM of 9850 and 9855

1. What is the LCM of 9850 and 9855?

Answer: LCM of 9850 and 9855 is 19414350.

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 9855?

Answer: Factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855. There are 16 integers that are factors of 9855. The greatest factor of 9855 is 9855.

4. How to Find the LCM of 9850 and 9855?

Answer:

Least Common Multiple of 9850 and 9855 = 19414350

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9855

9855 = 3 x 3 x 3 x 5 x 73

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

LCM = 19414350 = 2 x 3 x 3 x 3 x 5 x 5 x 73 x 197

Step 4: Therefore, the least common multiple of 9850 and 9855 is 19414350.