Least Common Multiple of 3802 and 3807

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 3807 the smallest integer that is 14474214 that is divisible by both numbers.

Least Common Multiple (LCM) of 3802 and 3807 is 14474214.

LCM(3802,3807) = 14474214

LCM of 3802 and 3807

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

LCM of:
and

Least Common Multiple of 3802 and 3807

LCM of 3802 and 3807 is 14474214

Least common multiple can be found by multiplying the highest exponent prime factors of 3802 and 3807. First we will calculate the prime factors of 3802 and 3807.

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 3807


3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 3807 are 3,47. Prime factorization of 3807 in exponential form is:

3807 = 34×471

Now multiplying the highest exponent prime factors to calculate the LCM of 3802 and 3807.

LCM(3802,3807) = 21×34×471×19011
LCM(3802,3807) = 14474214

Factors of 3802

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

1, 2, 1901, 3802

Factors of 3807

List of positive integer factors of 3807 that divides 3807 without a remainder.

1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807

Least Common Multiple of 3802 and 3807 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 3807, than apply into the LCM equation.

GCF(3802,3807) = 1
LCM(3802,3807) = ( 3802 × 3807) / 1
LCM(3802,3807) = 14474214 / 1
LCM(3802,3807) = 14474214

Properties of LCM 3802 and 3807

(i) The LCM of 3807 and 3802 is associative

LCM of 3802 and 3807 = LCM of 3807 and 3802

Related Least Common Multiples of 3802

Related Least Common Multiples of 3807

Frequently Asked Questions on LCM of 3802 and 3807

1. What is the LCM of 3802 and 3807?

Answer: LCM of 3802 and 3807 is 14474214.

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 3807?

Answer: Factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807. There are 10 integers that are factors of 3807. The greatest factor of 3807 is 3807.

4. How to Find the LCM of 3802 and 3807?

Answer:

Least Common Multiple of 3802 and 3807 = 14474214

Step 1: Find the prime factorization of 3802

3802 = 2 x 1901

Step 2: Find the prime factorization of 3807

3807 = 3 x 3 x 3 x 3 x 47

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

LCM = 14474214 = 2 x 3 x 3 x 3 x 3 x 47 x 1901

Step 4: Therefore, the least common multiple of 3802 and 3807 is 14474214.