Least Common Multiple of 3692 and 3698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3692 and 3698 the smallest integer that is 6826508 that is divisible by both numbers.

Least Common Multiple (LCM) of 3692 and 3698 is 6826508.

LCM(3692,3698) = 6826508

LCM of 3692 and 3698

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

LCM of:
and

Least Common Multiple of 3692 and 3698

LCM of 3692 and 3698 is 6826508

Least common multiple can be found by multiplying the highest exponent prime factors of 3692 and 3698. First we will calculate the prime factors of 3692 and 3698.

Prime Factorization of 3692


2 3692
2 1846
13 923
71 71
1

Prime factors of 3692 are 2, 13,71. Prime factorization of 3692 in exponential form is:

3692 = 22×131×711

Prime Factorization of 3698


2 3698
43 1849
43 43
1

Prime factors of 3698 are 2,43. Prime factorization of 3698 in exponential form is:

3698 = 21×432

Now multiplying the highest exponent prime factors to calculate the LCM of 3692 and 3698.

LCM(3692,3698) = 22×131×432×711
LCM(3692,3698) = 6826508

Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1, 2, 43, 86, 1849, 3698

Least Common Multiple of 3692 and 3698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3692 and 3698, than apply into the LCM equation.

GCF(3692,3698) = 2
LCM(3692,3698) = ( 3692 × 3698) / 2
LCM(3692,3698) = 13653016 / 2
LCM(3692,3698) = 6826508

Properties of LCM 3692 and 3698

(i) The LCM of 3698 and 3692 is associative

LCM of 3692 and 3698 = LCM of 3698 and 3692

Related Least Common Multiples of 3692

Related Least Common Multiples of 3698

Frequently Asked Questions on LCM of 3692 and 3698

1. What is the LCM of 3692 and 3698?

Answer: LCM of 3692 and 3698 is 6826508.

2. What are the Factors of 3692?

Answer: Factors of 3692 are 1, 2, 4, 13, 26, 52, 71, 142, 284, 923, 1846, 3692. There are 12 integers that are factors of 3692. The greatest factor of 3692 is 3692.

3. What are the Factors of 3698?

Answer: Factors of 3698 are 1, 2, 43, 86, 1849, 3698. There are 6 integers that are factors of 3698. The greatest factor of 3698 is 3698.

4. How to Find the LCM of 3692 and 3698?

Answer:

Least Common Multiple of 3692 and 3698 = 6826508

Step 1: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 3698

3698 = 2 x 43 x 43

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

LCM = 6826508 = 2 x 2 x 13 x 43 x 43 x 71

Step 4: Therefore, the least common multiple of 3692 and 3698 is 6826508.