Least Common Multiple of 3692 and 3699

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 3699 the smallest integer that is 13656708 that is divisible by both numbers.

Least Common Multiple (LCM) of 3692 and 3699 is 13656708.

LCM(3692,3699) = 13656708

LCM of 3692 and 3699

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

LCM of:
and

Least Common Multiple of 3692 and 3699

LCM of 3692 and 3699 is 13656708

Least common multiple can be found by multiplying the highest exponent prime factors of 3692 and 3699. First we will calculate the prime factors of 3692 and 3699.

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 3699


3 3699
3 1233
3 411
137 137
1

Prime factors of 3699 are 3,137. Prime factorization of 3699 in exponential form is:

3699 = 33×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3692 and 3699.

LCM(3692,3699) = 22×33×131×711×1371
LCM(3692,3699) = 13656708

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 3699

List of positive integer factors of 3699 that divides 3699 without a remainder.

1, 3, 9, 27, 137, 411, 1233, 3699

Least Common Multiple of 3692 and 3699 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 3699, than apply into the LCM equation.

GCF(3692,3699) = 1
LCM(3692,3699) = ( 3692 × 3699) / 1
LCM(3692,3699) = 13656708 / 1
LCM(3692,3699) = 13656708

Properties of LCM 3692 and 3699

(i) The LCM of 3699 and 3692 is associative

LCM of 3692 and 3699 = LCM of 3699 and 3692

Related Least Common Multiples of 3692

Related Least Common Multiples of 3699

Frequently Asked Questions on LCM of 3692 and 3699

1. What is the LCM of 3692 and 3699?

Answer: LCM of 3692 and 3699 is 13656708.

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 3699?

Answer: Factors of 3699 are 1, 3, 9, 27, 137, 411, 1233, 3699. There are 8 integers that are factors of 3699. The greatest factor of 3699 is 3699.

4. How to Find the LCM of 3692 and 3699?

Answer:

Least Common Multiple of 3692 and 3699 = 13656708

Step 1: Find the prime factorization of 3692

3692 = 2 x 2 x 13 x 71

Step 2: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

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

LCM = 13656708 = 2 x 2 x 3 x 3 x 3 x 13 x 71 x 137

Step 4: Therefore, the least common multiple of 3692 and 3699 is 13656708.