Least Common Multiple of 3850 and 3854

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 3854 the smallest integer that is 7418950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3850 and 3854 is 7418950.

LCM(3850,3854) = 7418950

LCM of 3850 and 3854

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

LCM of:
and

Least Common Multiple of 3850 and 3854

LCM of 3850 and 3854 is 7418950

Least common multiple can be found by multiplying the highest exponent prime factors of 3850 and 3854. First we will calculate the prime factors of 3850 and 3854.

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 3854


2 3854
41 1927
47 47
1

Prime factors of 3854 are 2, 41,47. Prime factorization of 3854 in exponential form is:

3854 = 21×411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3850 and 3854.

LCM(3850,3854) = 21×52×71×111×411×471
LCM(3850,3854) = 7418950

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 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1, 2, 41, 47, 82, 94, 1927, 3854

Least Common Multiple of 3850 and 3854 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 3854, than apply into the LCM equation.

GCF(3850,3854) = 2
LCM(3850,3854) = ( 3850 × 3854) / 2
LCM(3850,3854) = 14837900 / 2
LCM(3850,3854) = 7418950

Properties of LCM 3850 and 3854

(i) The LCM of 3854 and 3850 is associative

LCM of 3850 and 3854 = LCM of 3854 and 3850

Related Least Common Multiples of 3850

Related Least Common Multiples of 3854

Frequently Asked Questions on LCM of 3850 and 3854

1. What is the LCM of 3850 and 3854?

Answer: LCM of 3850 and 3854 is 7418950.

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 3854?

Answer: Factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854. There are 8 integers that are factors of 3854. The greatest factor of 3854 is 3854.

4. How to Find the LCM of 3850 and 3854?

Answer:

Least Common Multiple of 3850 and 3854 = 7418950

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 3854

3854 = 2 x 41 x 47

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

LCM = 7418950 = 2 x 5 x 5 x 7 x 11 x 41 x 47

Step 4: Therefore, the least common multiple of 3850 and 3854 is 7418950.