Least Common Multiple of 3802 and 3808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3802 and 3808 the smallest integer that is 7239008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3802 and 3808 is 7239008.

LCM(3802,3808) = 7239008

LCM of 3802 and 3808

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

LCM of:
and

Least Common Multiple of 3802 and 3808

LCM of 3802 and 3808 is 7239008

Least common multiple can be found by multiplying the highest exponent prime factors of 3802 and 3808. First we will calculate the prime factors of 3802 and 3808.

Prime Factorization of 3802


2 3802
1901 1901
1

Prime factors of 3802 are 2,1901. Prime factorization of 3802 in exponential form is:

3802 = 21×19011

Prime Factorization of 3808


2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 3808 are 2, 7,17. Prime factorization of 3808 in exponential form is:

3808 = 25×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3802 and 3808.

LCM(3802,3808) = 25×71×171×19011
LCM(3802,3808) = 7239008

Factors of 3802

List of positive integer factors of 3802 that divides 3802 without a remainder.

1, 2, 1901, 3802

Factors of 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808

Least Common Multiple of 3802 and 3808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3802 and 3808, than apply into the LCM equation.

GCF(3802,3808) = 2
LCM(3802,3808) = ( 3802 × 3808) / 2
LCM(3802,3808) = 14478016 / 2
LCM(3802,3808) = 7239008

Properties of LCM 3802 and 3808

(i) The LCM of 3808 and 3802 is associative

LCM of 3802 and 3808 = LCM of 3808 and 3802

Related Least Common Multiples of 3802

Related Least Common Multiples of 3808

Frequently Asked Questions on LCM of 3802 and 3808

1. What is the LCM of 3802 and 3808?

Answer: LCM of 3802 and 3808 is 7239008.

2. What are the Factors of 3802?

Answer: Factors of 3802 are 1, 2, 1901, 3802. There are 4 integers that are factors of 3802. The greatest factor of 3802 is 3802.

3. What are the Factors of 3808?

Answer: Factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. There are 24 integers that are factors of 3808. The greatest factor of 3808 is 3808.

4. How to Find the LCM of 3802 and 3808?

Answer:

Least Common Multiple of 3802 and 3808 = 7239008

Step 1: Find the prime factorization of 3802

3802 = 2 x 1901

Step 2: Find the prime factorization of 3808

3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17

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

LCM = 7239008 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 1901

Step 4: Therefore, the least common multiple of 3802 and 3808 is 7239008.