Least Common Multiple of 3659 and 3667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3659 and 3667 the smallest integer that is 13417553 that is divisible by both numbers.

Least Common Multiple (LCM) of 3659 and 3667 is 13417553.

LCM(3659,3667) = 13417553

LCM of 3659 and 3667

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

LCM of:
and

Least Common Multiple of 3659 and 3667

LCM of 3659 and 3667 is 13417553

Least common multiple can be found by multiplying the highest exponent prime factors of 3659 and 3667. First we will calculate the prime factors of 3659 and 3667.

Prime Factorization of 3659


3659 3659
1

Prime factors of 3659 are 3659. Prime factorization of 3659 in exponential form is:

3659 = 36591

Prime Factorization of 3667


19 3667
193 193
1

Prime factors of 3667 are 19,193. Prime factorization of 3667 in exponential form is:

3667 = 191×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3659 and 3667.

LCM(3659,3667) = 191×1931×36591
LCM(3659,3667) = 13417553

Factors of 3659

List of positive integer factors of 3659 that divides 3659 without a remainder.

1, 3659

Factors of 3667

List of positive integer factors of 3667 that divides 3667 without a remainder.

1, 19, 193, 3667

Least Common Multiple of 3659 and 3667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3659 and 3667, than apply into the LCM equation.

GCF(3659,3667) = 1
LCM(3659,3667) = ( 3659 × 3667) / 1
LCM(3659,3667) = 13417553 / 1
LCM(3659,3667) = 13417553

Properties of LCM 3659 and 3667

(i) The LCM of 3667 and 3659 is associative

LCM of 3659 and 3667 = LCM of 3667 and 3659

Related Least Common Multiples of 3659

Related Least Common Multiples of 3667

Frequently Asked Questions on LCM of 3659 and 3667

1. What is the LCM of 3659 and 3667?

Answer: LCM of 3659 and 3667 is 13417553.

2. What are the Factors of 3659?

Answer: Factors of 3659 are 1, 3659. There are 2 integers that are factors of 3659. The greatest factor of 3659 is 3659.

3. What are the Factors of 3667?

Answer: Factors of 3667 are 1, 19, 193, 3667. There are 4 integers that are factors of 3667. The greatest factor of 3667 is 3667.

4. How to Find the LCM of 3659 and 3667?

Answer:

Least Common Multiple of 3659 and 3667 = 13417553

Step 1: Find the prime factorization of 3659

3659 = 3659

Step 2: Find the prime factorization of 3667

3667 = 19 x 193

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

LCM = 13417553 = 19 x 193 x 3659

Step 4: Therefore, the least common multiple of 3659 and 3667 is 13417553.