Least Common Multiple of 3685 and 3693

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 3693 the smallest integer that is 13608705 that is divisible by both numbers.

Least Common Multiple (LCM) of 3685 and 3693 is 13608705.

LCM(3685,3693) = 13608705

LCM of 3685 and 3693

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

LCM of:
and

Least Common Multiple of 3685 and 3693

LCM of 3685 and 3693 is 13608705

Least common multiple can be found by multiplying the highest exponent prime factors of 3685 and 3693. First we will calculate the prime factors of 3685 and 3693.

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 3693


3 3693
1231 1231
1

Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:

3693 = 31×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 3685 and 3693.

LCM(3685,3693) = 31×51×111×671×12311
LCM(3685,3693) = 13608705

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 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1, 3, 1231, 3693

Least Common Multiple of 3685 and 3693 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 3693, than apply into the LCM equation.

GCF(3685,3693) = 1
LCM(3685,3693) = ( 3685 × 3693) / 1
LCM(3685,3693) = 13608705 / 1
LCM(3685,3693) = 13608705

Properties of LCM 3685 and 3693

(i) The LCM of 3693 and 3685 is associative

LCM of 3685 and 3693 = LCM of 3693 and 3685

Related Least Common Multiples of 3685

Related Least Common Multiples of 3693

Frequently Asked Questions on LCM of 3685 and 3693

1. What is the LCM of 3685 and 3693?

Answer: LCM of 3685 and 3693 is 13608705.

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 3693?

Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.

4. How to Find the LCM of 3685 and 3693?

Answer:

Least Common Multiple of 3685 and 3693 = 13608705

Step 1: Find the prime factorization of 3685

3685 = 5 x 11 x 67

Step 2: Find the prime factorization of 3693

3693 = 3 x 1231

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

LCM = 13608705 = 3 x 5 x 11 x 67 x 1231

Step 4: Therefore, the least common multiple of 3685 and 3693 is 13608705.