Least Common Multiple of 9850 and 9858

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 9858 the smallest integer that is 48550650 that is divisible by both numbers.

Least Common Multiple (LCM) of 9850 and 9858 is 48550650.

LCM(9850,9858) = 48550650

LCM of 9850 and 9858

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

LCM of:
and

Least Common Multiple of 9850 and 9858

LCM of 9850 and 9858 is 48550650

Least common multiple can be found by multiplying the highest exponent prime factors of 9850 and 9858. First we will calculate the prime factors of 9850 and 9858.

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 9858


2 9858
3 4929
31 1643
53 53
1

Prime factors of 9858 are 2, 3, 31,53. Prime factorization of 9858 in exponential form is:

9858 = 21×31×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9850 and 9858.

LCM(9850,9858) = 21×31×52×311×531×1971
LCM(9850,9858) = 48550650

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 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858

Least Common Multiple of 9850 and 9858 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 9858, than apply into the LCM equation.

GCF(9850,9858) = 2
LCM(9850,9858) = ( 9850 × 9858) / 2
LCM(9850,9858) = 97101300 / 2
LCM(9850,9858) = 48550650

Properties of LCM 9850 and 9858

(i) The LCM of 9858 and 9850 is associative

LCM of 9850 and 9858 = LCM of 9858 and 9850

Related Least Common Multiples of 9850

Related Least Common Multiples of 9858

Frequently Asked Questions on LCM of 9850 and 9858

1. What is the LCM of 9850 and 9858?

Answer: LCM of 9850 and 9858 is 48550650.

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 9858?

Answer: Factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858. There are 16 integers that are factors of 9858. The greatest factor of 9858 is 9858.

4. How to Find the LCM of 9850 and 9858?

Answer:

Least Common Multiple of 9850 and 9858 = 48550650

Step 1: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

Step 2: Find the prime factorization of 9858

9858 = 2 x 3 x 31 x 53

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

LCM = 48550650 = 2 x 3 x 5 x 5 x 31 x 53 x 197

Step 4: Therefore, the least common multiple of 9850 and 9858 is 48550650.