Least Common Multiple of 3850 and 3851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3850 and 3851 the smallest integer that is 14826350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3850 and 3851 is 14826350.

LCM(3850,3851) = 14826350

LCM of 3850 and 3851

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

LCM of:
and

Least Common Multiple of 3850 and 3851

LCM of 3850 and 3851 is 14826350

Least common multiple can be found by multiplying the highest exponent prime factors of 3850 and 3851. First we will calculate the prime factors of 3850 and 3851.

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

Prime Factorization of 3851


3851 3851
1

Prime factors of 3851 are 3851. Prime factorization of 3851 in exponential form is:

3851 = 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 3850 and 3851.

LCM(3850,3851) = 21×52×71×111×38511
LCM(3850,3851) = 14826350

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

Factors of 3851

List of positive integer factors of 3851 that divides 3851 without a remainder.

1, 3851

Least Common Multiple of 3850 and 3851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3850 and 3851, than apply into the LCM equation.

GCF(3850,3851) = 1
LCM(3850,3851) = ( 3850 × 3851) / 1
LCM(3850,3851) = 14826350 / 1
LCM(3850,3851) = 14826350

Properties of LCM 3850 and 3851

(i) The LCM of 3851 and 3850 is associative

LCM of 3850 and 3851 = LCM of 3851 and 3850

Related Least Common Multiples of 3850

Related Least Common Multiples of 3851

Frequently Asked Questions on LCM of 3850 and 3851

1. What is the LCM of 3850 and 3851?

Answer: LCM of 3850 and 3851 is 14826350.

2. 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.

3. What are the Factors of 3851?

Answer: Factors of 3851 are 1, 3851. There are 2 integers that are factors of 3851. The greatest factor of 3851 is 3851.

4. How to Find the LCM of 3850 and 3851?

Answer:

Least Common Multiple of 3850 and 3851 = 14826350

Step 1: Find the prime factorization of 3850

3850 = 2 x 5 x 5 x 7 x 11

Step 2: Find the prime factorization of 3851

3851 = 3851

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

LCM = 14826350 = 2 x 5 x 5 x 7 x 11 x 3851

Step 4: Therefore, the least common multiple of 3850 and 3851 is 14826350.