Least Common Multiple of 3680 and 3685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3680 and 3685 the smallest integer that is 2712160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3680 and 3685 is 2712160.

LCM(3680,3685) = 2712160

LCM of 3680 and 3685

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

LCM of:
and

Least Common Multiple of 3680 and 3685

LCM of 3680 and 3685 is 2712160

Least common multiple can be found by multiplying the highest exponent prime factors of 3680 and 3685. First we will calculate the prime factors of 3680 and 3685.

Prime Factorization of 3680


2 3680
2 1840
2 920
2 460
2 230
5 115
23 23
1

Prime factors of 3680 are 2, 5,23. Prime factorization of 3680 in exponential form is:

3680 = 25×51×231

Prime Factorization of 3685


5 3685
11 737
67 67
1

Prime factors of 3685 are 5, 11,67. Prime factorization of 3685 in exponential form is:

3685 = 51×111×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3680 and 3685.

LCM(3680,3685) = 25×51×111×231×671
LCM(3680,3685) = 2712160

Factors of 3680

List of positive integer factors of 3680 that divides 3680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1, 5, 11, 55, 67, 335, 737, 3685

Least Common Multiple of 3680 and 3685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3680 and 3685, than apply into the LCM equation.

GCF(3680,3685) = 5
LCM(3680,3685) = ( 3680 × 3685) / 5
LCM(3680,3685) = 13560800 / 5
LCM(3680,3685) = 2712160

Properties of LCM 3680 and 3685

(i) The LCM of 3685 and 3680 is associative

LCM of 3680 and 3685 = LCM of 3685 and 3680

Related Least Common Multiples of 3680

Related Least Common Multiples of 3685

Frequently Asked Questions on LCM of 3680 and 3685

1. What is the LCM of 3680 and 3685?

Answer: LCM of 3680 and 3685 is 2712160.

2. What are the Factors of 3680?

Answer: Factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680. There are 24 integers that are factors of 3680. The greatest factor of 3680 is 3680.

3. What are the Factors of 3685?

Answer: Factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685. There are 8 integers that are factors of 3685. The greatest factor of 3685 is 3685.

4. How to Find the LCM of 3680 and 3685?

Answer:

Least Common Multiple of 3680 and 3685 = 2712160

Step 1: Find the prime factorization of 3680

3680 = 2 x 2 x 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 3685

3685 = 5 x 11 x 67

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

LCM = 2712160 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 23 x 67

Step 4: Therefore, the least common multiple of 3680 and 3685 is 2712160.