Least Common Multiple of 3685 and 3690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3685 and 3690 the smallest integer that is 2719530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3685 and 3690 is 2719530.

LCM(3685,3690) = 2719530

LCM of 3685 and 3690

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

LCM of:
and

Least Common Multiple of 3685 and 3690

LCM of 3685 and 3690 is 2719530

Least common multiple can be found by multiplying the highest exponent prime factors of 3685 and 3690. First we will calculate the prime factors of 3685 and 3690.

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

Prime Factorization of 3690


2 3690
3 1845
3 615
5 205
41 41
1

Prime factors of 3690 are 2, 3, 5,41. Prime factorization of 3690 in exponential form is:

3690 = 21×32×51×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3685 and 3690.

LCM(3685,3690) = 21×32×51×111×411×671
LCM(3685,3690) = 2719530

Factors of 3685

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

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

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690

Least Common Multiple of 3685 and 3690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3685 and 3690, than apply into the LCM equation.

GCF(3685,3690) = 5
LCM(3685,3690) = ( 3685 × 3690) / 5
LCM(3685,3690) = 13597650 / 5
LCM(3685,3690) = 2719530

Properties of LCM 3685 and 3690

(i) The LCM of 3690 and 3685 is associative

LCM of 3685 and 3690 = LCM of 3690 and 3685

Related Least Common Multiples of 3685

Related Least Common Multiples of 3690

Frequently Asked Questions on LCM of 3685 and 3690

1. What is the LCM of 3685 and 3690?

Answer: LCM of 3685 and 3690 is 2719530.

2. 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.

3. What are the Factors of 3690?

Answer: Factors of 3690 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 41, 45, 82, 90, 123, 205, 246, 369, 410, 615, 738, 1230, 1845, 3690. There are 24 integers that are factors of 3690. The greatest factor of 3690 is 3690.

4. How to Find the LCM of 3685 and 3690?

Answer:

Least Common Multiple of 3685 and 3690 = 2719530

Step 1: Find the prime factorization of 3685

3685 = 5 x 11 x 67

Step 2: Find the prime factorization of 3690

3690 = 2 x 3 x 3 x 5 x 41

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

LCM = 2719530 = 2 x 3 x 3 x 5 x 11 x 41 x 67

Step 4: Therefore, the least common multiple of 3685 and 3690 is 2719530.