Least Common Multiple of 3693 and 3695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3693 and 3695 the smallest integer that is 13645635 that is divisible by both numbers.

Least Common Multiple (LCM) of 3693 and 3695 is 13645635.

LCM(3693,3695) = 13645635

LCM of 3693 and 3695

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

LCM of:
and

Least Common Multiple of 3693 and 3695

LCM of 3693 and 3695 is 13645635

Least common multiple can be found by multiplying the highest exponent prime factors of 3693 and 3695. First we will calculate the prime factors of 3693 and 3695.

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

Prime Factorization of 3695


5 3695
739 739
1

Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:

3695 = 51×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 3693 and 3695.

LCM(3693,3695) = 31×51×7391×12311
LCM(3693,3695) = 13645635

Factors of 3693

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

1, 3, 1231, 3693

Factors of 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1, 5, 739, 3695

Least Common Multiple of 3693 and 3695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3693 and 3695, than apply into the LCM equation.

GCF(3693,3695) = 1
LCM(3693,3695) = ( 3693 × 3695) / 1
LCM(3693,3695) = 13645635 / 1
LCM(3693,3695) = 13645635

Properties of LCM 3693 and 3695

(i) The LCM of 3695 and 3693 is associative

LCM of 3693 and 3695 = LCM of 3695 and 3693

Related Least Common Multiples of 3693

Related Least Common Multiples of 3695

Frequently Asked Questions on LCM of 3693 and 3695

1. What is the LCM of 3693 and 3695?

Answer: LCM of 3693 and 3695 is 13645635.

2. 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.

3. What are the Factors of 3695?

Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.

4. How to Find the LCM of 3693 and 3695?

Answer:

Least Common Multiple of 3693 and 3695 = 13645635

Step 1: Find the prime factorization of 3693

3693 = 3 x 1231

Step 2: Find the prime factorization of 3695

3695 = 5 x 739

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

LCM = 13645635 = 3 x 5 x 739 x 1231

Step 4: Therefore, the least common multiple of 3693 and 3695 is 13645635.