Least Common Multiple of 3824 and 3832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3824 and 3832 the smallest integer that is 1831696 that is divisible by both numbers.

Least Common Multiple (LCM) of 3824 and 3832 is 1831696.

LCM(3824,3832) = 1831696

LCM of 3824 and 3832

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

LCM of:
and

Least Common Multiple of 3824 and 3832

LCM of 3824 and 3832 is 1831696

Least common multiple can be found by multiplying the highest exponent prime factors of 3824 and 3832. First we will calculate the prime factors of 3824 and 3832.

Prime Factorization of 3824


2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 3824 are 2,239. Prime factorization of 3824 in exponential form is:

3824 = 24×2391

Prime Factorization of 3832


2 3832
2 1916
2 958
479 479
1

Prime factors of 3832 are 2,479. Prime factorization of 3832 in exponential form is:

3832 = 23×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 3824 and 3832.

LCM(3824,3832) = 24×2391×4791
LCM(3824,3832) = 1831696

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824

Factors of 3832

List of positive integer factors of 3832 that divides 3832 without a remainder.

1, 2, 4, 8, 479, 958, 1916, 3832

Least Common Multiple of 3824 and 3832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3824 and 3832, than apply into the LCM equation.

GCF(3824,3832) = 8
LCM(3824,3832) = ( 3824 × 3832) / 8
LCM(3824,3832) = 14653568 / 8
LCM(3824,3832) = 1831696

Properties of LCM 3824 and 3832

(i) The LCM of 3832 and 3824 is associative

LCM of 3824 and 3832 = LCM of 3832 and 3824

Related Least Common Multiples of 3824

Related Least Common Multiples of 3832

Frequently Asked Questions on LCM of 3824 and 3832

1. What is the LCM of 3824 and 3832?

Answer: LCM of 3824 and 3832 is 1831696.

2. What are the Factors of 3824?

Answer: Factors of 3824 are 1, 2, 4, 8, 16, 239, 478, 956, 1912, 3824. There are 10 integers that are factors of 3824. The greatest factor of 3824 is 3824.

3. What are the Factors of 3832?

Answer: Factors of 3832 are 1, 2, 4, 8, 479, 958, 1916, 3832. There are 8 integers that are factors of 3832. The greatest factor of 3832 is 3832.

4. How to Find the LCM of 3824 and 3832?

Answer:

Least Common Multiple of 3824 and 3832 = 1831696

Step 1: Find the prime factorization of 3824

3824 = 2 x 2 x 2 x 2 x 239

Step 2: Find the prime factorization of 3832

3832 = 2 x 2 x 2 x 479

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

LCM = 1831696 = 2 x 2 x 2 x 2 x 239 x 479

Step 4: Therefore, the least common multiple of 3824 and 3832 is 1831696.