Least Common Multiple of 3822 and 3827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3822 and 3827 the smallest integer that is 14626794 that is divisible by both numbers.

Least Common Multiple (LCM) of 3822 and 3827 is 14626794.

LCM(3822,3827) = 14626794

LCM of 3822 and 3827

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

LCM of:
and

Least Common Multiple of 3822 and 3827

LCM of 3822 and 3827 is 14626794

Least common multiple can be found by multiplying the highest exponent prime factors of 3822 and 3827. First we will calculate the prime factors of 3822 and 3827.

Prime Factorization of 3822


2 3822
3 1911
7 637
7 91
13 13
1

Prime factors of 3822 are 2, 3, 7,13. Prime factorization of 3822 in exponential form is:

3822 = 21×31×72×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3822 and 3827.

LCM(3822,3827) = 21×31×72×131×431×891
LCM(3822,3827) = 14626794

Factors of 3822

List of positive integer factors of 3822 that divides 3822 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822

Factors of 3827

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

1, 43, 89, 3827

Least Common Multiple of 3822 and 3827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3822 and 3827, than apply into the LCM equation.

GCF(3822,3827) = 1
LCM(3822,3827) = ( 3822 × 3827) / 1
LCM(3822,3827) = 14626794 / 1
LCM(3822,3827) = 14626794

Properties of LCM 3822 and 3827

(i) The LCM of 3827 and 3822 is associative

LCM of 3822 and 3827 = LCM of 3827 and 3822

Related Least Common Multiples of 3822

Related Least Common Multiples of 3827

Frequently Asked Questions on LCM of 3822 and 3827

1. What is the LCM of 3822 and 3827?

Answer: LCM of 3822 and 3827 is 14626794.

2. What are the Factors of 3822?

Answer: Factors of 3822 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911, 3822. There are 24 integers that are factors of 3822. The greatest factor of 3822 is 3822.

3. 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.

4. How to Find the LCM of 3822 and 3827?

Answer:

Least Common Multiple of 3822 and 3827 = 14626794

Step 1: Find the prime factorization of 3822

3822 = 2 x 3 x 7 x 7 x 13

Step 2: Find the prime factorization of 3827

3827 = 43 x 89

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

LCM = 14626794 = 2 x 3 x 7 x 7 x 13 x 43 x 89

Step 4: Therefore, the least common multiple of 3822 and 3827 is 14626794.