Least Common Multiple of 3847 and 3850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3847 and 3850 the smallest integer that is 14810950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3847 and 3850 is 14810950.

LCM(3847,3850) = 14810950

LCM of 3847 and 3850

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

LCM of:
and

Least Common Multiple of 3847 and 3850

LCM of 3847 and 3850 is 14810950

Least common multiple can be found by multiplying the highest exponent prime factors of 3847 and 3850. First we will calculate the prime factors of 3847 and 3850.

Prime Factorization of 3847


3847 3847
1

Prime factors of 3847 are 3847. Prime factorization of 3847 in exponential form is:

3847 = 38471

Prime Factorization of 3850


2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 3850 are 2, 5, 7,11. Prime factorization of 3850 in exponential form is:

3850 = 21×52×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3847 and 3850.

LCM(3847,3850) = 21×52×71×111×38471
LCM(3847,3850) = 14810950

Factors of 3847

List of positive integer factors of 3847 that divides 3847 without a remainder.

1, 3847

Factors of 3850

List of positive integer factors of 3850 that divides 3850 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850

Least Common Multiple of 3847 and 3850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3847 and 3850, than apply into the LCM equation.

GCF(3847,3850) = 1
LCM(3847,3850) = ( 3847 × 3850) / 1
LCM(3847,3850) = 14810950 / 1
LCM(3847,3850) = 14810950

Properties of LCM 3847 and 3850

(i) The LCM of 3850 and 3847 is associative

LCM of 3847 and 3850 = LCM of 3850 and 3847

Related Least Common Multiples of 3847

Related Least Common Multiples of 3850

Frequently Asked Questions on LCM of 3847 and 3850

1. What is the LCM of 3847 and 3850?

Answer: LCM of 3847 and 3850 is 14810950.

2. What are the Factors of 3847?

Answer: Factors of 3847 are 1, 3847. There are 2 integers that are factors of 3847. The greatest factor of 3847 is 3847.

3. What are the Factors of 3850?

Answer: Factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850. There are 24 integers that are factors of 3850. The greatest factor of 3850 is 3850.

4. How to Find the LCM of 3847 and 3850?

Answer:

Least Common Multiple of 3847 and 3850 = 14810950

Step 1: Find the prime factorization of 3847

3847 = 3847

Step 2: Find the prime factorization of 3850

3850 = 2 x 5 x 5 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 = 14810950 = 2 x 5 x 5 x 7 x 11 x 3847

Step 4: Therefore, the least common multiple of 3847 and 3850 is 14810950.