Least Common Multiple of 3699 and 3705

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 3705 the smallest integer that is 4568265 that is divisible by both numbers.

Least Common Multiple (LCM) of 3699 and 3705 is 4568265.

LCM(3699,3705) = 4568265

LCM of 3699 and 3705

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

LCM of:
and

Least Common Multiple of 3699 and 3705

LCM of 3699 and 3705 is 4568265

Least common multiple can be found by multiplying the highest exponent prime factors of 3699 and 3705. First we will calculate the prime factors of 3699 and 3705.

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 3705


3 3705
5 1235
13 247
19 19
1

Prime factors of 3705 are 3, 5, 13,19. Prime factorization of 3705 in exponential form is:

3705 = 31×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3699 and 3705.

LCM(3699,3705) = 33×51×131×191×1371
LCM(3699,3705) = 4568265

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 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705

Least Common Multiple of 3699 and 3705 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 3705, than apply into the LCM equation.

GCF(3699,3705) = 3
LCM(3699,3705) = ( 3699 × 3705) / 3
LCM(3699,3705) = 13704795 / 3
LCM(3699,3705) = 4568265

Properties of LCM 3699 and 3705

(i) The LCM of 3705 and 3699 is associative

LCM of 3699 and 3705 = LCM of 3705 and 3699

Related Least Common Multiples of 3699

Related Least Common Multiples of 3705

Frequently Asked Questions on LCM of 3699 and 3705

1. What is the LCM of 3699 and 3705?

Answer: LCM of 3699 and 3705 is 4568265.

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 3705?

Answer: Factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705. There are 16 integers that are factors of 3705. The greatest factor of 3705 is 3705.

4. How to Find the LCM of 3699 and 3705?

Answer:

Least Common Multiple of 3699 and 3705 = 4568265

Step 1: Find the prime factorization of 3699

3699 = 3 x 3 x 3 x 137

Step 2: Find the prime factorization of 3705

3705 = 3 x 5 x 13 x 19

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

LCM = 4568265 = 3 x 3 x 3 x 5 x 13 x 19 x 137

Step 4: Therefore, the least common multiple of 3699 and 3705 is 4568265.