Least Common Multiple of 3827 and 3833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3827 and 3833 the smallest integer that is 14668891 that is divisible by both numbers.

Least Common Multiple (LCM) of 3827 and 3833 is 14668891.

LCM(3827,3833) = 14668891

LCM of 3827 and 3833

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

LCM of:
and

Least Common Multiple of 3827 and 3833

LCM of 3827 and 3833 is 14668891

Least common multiple can be found by multiplying the highest exponent prime factors of 3827 and 3833. First we will calculate the prime factors of 3827 and 3833.

Prime Factorization of 3827


43 3827
89 89
1

Prime factors of 3827 are 43,89. Prime factorization of 3827 in exponential form is:

3827 = 431×891

Prime Factorization of 3833


3833 3833
1

Prime factors of 3833 are 3833. Prime factorization of 3833 in exponential form is:

3833 = 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 3827 and 3833.

LCM(3827,3833) = 431×891×38331
LCM(3827,3833) = 14668891

Factors of 3827

List of positive integer factors of 3827 that divides 3827 without a remainder.

1, 43, 89, 3827

Factors of 3833

List of positive integer factors of 3833 that divides 3833 without a remainder.

1, 3833

Least Common Multiple of 3827 and 3833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3827 and 3833, than apply into the LCM equation.

GCF(3827,3833) = 1
LCM(3827,3833) = ( 3827 × 3833) / 1
LCM(3827,3833) = 14668891 / 1
LCM(3827,3833) = 14668891

Properties of LCM 3827 and 3833

(i) The LCM of 3833 and 3827 is associative

LCM of 3827 and 3833 = LCM of 3833 and 3827

Related Least Common Multiples of 3827

Related Least Common Multiples of 3833

Frequently Asked Questions on LCM of 3827 and 3833

1. What is the LCM of 3827 and 3833?

Answer: LCM of 3827 and 3833 is 14668891.

2. What are the Factors of 3827?

Answer: Factors of 3827 are 1, 43, 89, 3827. There are 4 integers that are factors of 3827. The greatest factor of 3827 is 3827.

3. What are the Factors of 3833?

Answer: Factors of 3833 are 1, 3833. There are 2 integers that are factors of 3833. The greatest factor of 3833 is 3833.

4. How to Find the LCM of 3827 and 3833?

Answer:

Least Common Multiple of 3827 and 3833 = 14668891

Step 1: Find the prime factorization of 3827

3827 = 43 x 89

Step 2: Find the prime factorization of 3833

3833 = 3833

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

LCM = 14668891 = 43 x 89 x 3833

Step 4: Therefore, the least common multiple of 3827 and 3833 is 14668891.