Least Common Multiple of 3850 and 3855

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 3855 the smallest integer that is 2968350 that is divisible by both numbers.

Least Common Multiple (LCM) of 3850 and 3855 is 2968350.

LCM(3850,3855) = 2968350

LCM of 3850 and 3855

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

LCM of:
and

Least Common Multiple of 3850 and 3855

LCM of 3850 and 3855 is 2968350

Least common multiple can be found by multiplying the highest exponent prime factors of 3850 and 3855. First we will calculate the prime factors of 3850 and 3855.

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 3855


3 3855
5 1285
257 257
1

Prime factors of 3855 are 3, 5,257. Prime factorization of 3855 in exponential form is:

3855 = 31×51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 3850 and 3855.

LCM(3850,3855) = 21×31×52×71×111×2571
LCM(3850,3855) = 2968350

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 3855

List of positive integer factors of 3855 that divides 3855 without a remainder.

1, 3, 5, 15, 257, 771, 1285, 3855

Least Common Multiple of 3850 and 3855 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 3855, than apply into the LCM equation.

GCF(3850,3855) = 5
LCM(3850,3855) = ( 3850 × 3855) / 5
LCM(3850,3855) = 14841750 / 5
LCM(3850,3855) = 2968350

Properties of LCM 3850 and 3855

(i) The LCM of 3855 and 3850 is associative

LCM of 3850 and 3855 = LCM of 3855 and 3850

Related Least Common Multiples of 3850

Related Least Common Multiples of 3855

Frequently Asked Questions on LCM of 3850 and 3855

1. What is the LCM of 3850 and 3855?

Answer: LCM of 3850 and 3855 is 2968350.

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 3855?

Answer: Factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855. There are 8 integers that are factors of 3855. The greatest factor of 3855 is 3855.

4. How to Find the LCM of 3850 and 3855?

Answer:

Least Common Multiple of 3850 and 3855 = 2968350

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 3855

3855 = 3 x 5 x 257

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

LCM = 2968350 = 2 x 3 x 5 x 5 x 7 x 11 x 257

Step 4: Therefore, the least common multiple of 3850 and 3855 is 2968350.