Least Common Multiple of 3699 and 3704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3699 and 3704 the smallest integer that is 13701096 that is divisible by both numbers.

Least Common Multiple (LCM) of 3699 and 3704 is 13701096.

LCM(3699,3704) = 13701096

LCM of 3699 and 3704

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

LCM of:
and

Least Common Multiple of 3699 and 3704

LCM of 3699 and 3704 is 13701096

Least common multiple can be found by multiplying the highest exponent prime factors of 3699 and 3704. First we will calculate the prime factors of 3699 and 3704.

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

Prime Factorization of 3704


2 3704
2 1852
2 926
463 463
1

Prime factors of 3704 are 2,463. Prime factorization of 3704 in exponential form is:

3704 = 23×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 3699 and 3704.

LCM(3699,3704) = 23×33×1371×4631
LCM(3699,3704) = 13701096

Factors of 3699

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

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

Factors of 3704

List of positive integer factors of 3704 that divides 3704 without a remainder.

1, 2, 4, 8, 463, 926, 1852, 3704

Least Common Multiple of 3699 and 3704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3699 and 3704, than apply into the LCM equation.

GCF(3699,3704) = 1
LCM(3699,3704) = ( 3699 × 3704) / 1
LCM(3699,3704) = 13701096 / 1
LCM(3699,3704) = 13701096

Properties of LCM 3699 and 3704

(i) The LCM of 3704 and 3699 is associative

LCM of 3699 and 3704 = LCM of 3704 and 3699

Related Least Common Multiples of 3699

Related Least Common Multiples of 3704

Frequently Asked Questions on LCM of 3699 and 3704

1. What is the LCM of 3699 and 3704?

Answer: LCM of 3699 and 3704 is 13701096.

2. 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.

3. What are the Factors of 3704?

Answer: Factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704. There are 8 integers that are factors of 3704. The greatest factor of 3704 is 3704.

4. How to Find the LCM of 3699 and 3704?

Answer:

Least Common Multiple of 3699 and 3704 = 13701096

Step 1: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

Step 2: Find the prime factorization of 3704

3704 = 2 x 2 x 2 x 463

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

LCM = 13701096 = 2 x 2 x 2 x 3 x 3 x 3 x 137 x 463

Step 4: Therefore, the least common multiple of 3699 and 3704 is 13701096.