Least Common Multiple of 3850 and 3852

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 3852 the smallest integer that is 7415100 that is divisible by both numbers.

Least Common Multiple (LCM) of 3850 and 3852 is 7415100.

LCM(3850,3852) = 7415100

LCM of 3850 and 3852

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

LCM of:
and

Least Common Multiple of 3850 and 3852

LCM of 3850 and 3852 is 7415100

Least common multiple can be found by multiplying the highest exponent prime factors of 3850 and 3852. First we will calculate the prime factors of 3850 and 3852.

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 3852


2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 3852 are 2, 3,107. Prime factorization of 3852 in exponential form is:

3852 = 22×32×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3850 and 3852.

LCM(3850,3852) = 22×32×52×71×111×1071
LCM(3850,3852) = 7415100

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 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852

Least Common Multiple of 3850 and 3852 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 3852, than apply into the LCM equation.

GCF(3850,3852) = 2
LCM(3850,3852) = ( 3850 × 3852) / 2
LCM(3850,3852) = 14830200 / 2
LCM(3850,3852) = 7415100

Properties of LCM 3850 and 3852

(i) The LCM of 3852 and 3850 is associative

LCM of 3850 and 3852 = LCM of 3852 and 3850

Related Least Common Multiples of 3850

Related Least Common Multiples of 3852

Frequently Asked Questions on LCM of 3850 and 3852

1. What is the LCM of 3850 and 3852?

Answer: LCM of 3850 and 3852 is 7415100.

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 3852?

Answer: Factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852. There are 18 integers that are factors of 3852. The greatest factor of 3852 is 3852.

4. How to Find the LCM of 3850 and 3852?

Answer:

Least Common Multiple of 3850 and 3852 = 7415100

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 3852

3852 = 2 x 2 x 3 x 3 x 107

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

LCM = 7415100 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 107

Step 4: Therefore, the least common multiple of 3850 and 3852 is 7415100.