Least Common Multiple of 3695 and 3701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3695 and 3701 the smallest integer that is 13675195 that is divisible by both numbers.

Least Common Multiple (LCM) of 3695 and 3701 is 13675195.

LCM(3695,3701) = 13675195

LCM of 3695 and 3701

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

LCM of:
and

Least Common Multiple of 3695 and 3701

LCM of 3695 and 3701 is 13675195

Least common multiple can be found by multiplying the highest exponent prime factors of 3695 and 3701. First we will calculate the prime factors of 3695 and 3701.

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

Prime Factorization of 3701


3701 3701
1

Prime factors of 3701 are 3701. Prime factorization of 3701 in exponential form is:

3701 = 37011

Now multiplying the highest exponent prime factors to calculate the LCM of 3695 and 3701.

LCM(3695,3701) = 51×7391×37011
LCM(3695,3701) = 13675195

Factors of 3695

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

1, 5, 739, 3695

Factors of 3701

List of positive integer factors of 3701 that divides 3701 without a remainder.

1, 3701

Least Common Multiple of 3695 and 3701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3695 and 3701, than apply into the LCM equation.

GCF(3695,3701) = 1
LCM(3695,3701) = ( 3695 × 3701) / 1
LCM(3695,3701) = 13675195 / 1
LCM(3695,3701) = 13675195

Properties of LCM 3695 and 3701

(i) The LCM of 3701 and 3695 is associative

LCM of 3695 and 3701 = LCM of 3701 and 3695

Related Least Common Multiples of 3695

Related Least Common Multiples of 3701

Frequently Asked Questions on LCM of 3695 and 3701

1. What is the LCM of 3695 and 3701?

Answer: LCM of 3695 and 3701 is 13675195.

2. 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.

3. What are the Factors of 3701?

Answer: Factors of 3701 are 1, 3701. There are 2 integers that are factors of 3701. The greatest factor of 3701 is 3701.

4. How to Find the LCM of 3695 and 3701?

Answer:

Least Common Multiple of 3695 and 3701 = 13675195

Step 1: Find the prime factorization of 3695

3695 = 5 x 739

Step 2: Find the prime factorization of 3701

3701 = 3701

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

LCM = 13675195 = 5 x 739 x 3701

Step 4: Therefore, the least common multiple of 3695 and 3701 is 13675195.