Least Common Multiple of 9850 and 9857

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 9857 the smallest integer that is 97091450 that is divisible by both numbers.

Least Common Multiple (LCM) of 9850 and 9857 is 97091450.

LCM(9850,9857) = 97091450

LCM of 9850 and 9857

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

LCM of:
and

Least Common Multiple of 9850 and 9857

LCM of 9850 and 9857 is 97091450

Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9857. First we will calculate the prime factors of 9850 and 9857.

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 9857


9857 9857
1

Prime factors of 9857 are 9857. Prime factorization of 9857 in exponential form is:

9857 = 98571

Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9857.

LCM(9850,9857) = 21×52×1971×98571
LCM(9850,9857) = 97091450

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 9857

List of positive integer factors of 9857 that divides 9857 without a remainder.

1, 9857

Least Common Multiple of 9850 and 9857 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 9857, than apply into the LCM equation.

GCF(9850,9857) = 1
LCM(9850,9857) = ( 9850 × 9857) / 1
LCM(9850,9857) = 97091450 / 1
LCM(9850,9857) = 97091450

Properties of LCM 9850 and 9857

(i) The LCM of 9857 and 9850 is associative

LCM of 9850 and 9857 = LCM of 9857 and 9850

Related Least Common Multiples of 9850

Related Least Common Multiples of 9857

Frequently Asked Questions on LCM of 9850 and 9857

1. What is the LCM of 9850 and 9857?

Answer: LCM of 9850 and 9857 is 97091450.

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 9857?

Answer: Factors of 9857 are 1, 9857. There are 2 integers that are factors of 9857. The greatest factor of 9857 is 9857.

4. How to Find the LCM of 9850 and 9857?

Answer:

Least Common Multiple of 9850 and 9857 = 97091450

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9857

9857 = 9857

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

LCM = 97091450 = 2 x 5 x 5 x 197 x 9857

Step 4: Therefore, the least common multiple of 9850 and 9857 is 97091450.