Least Common Multiple of 3634 and 3641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3634 and 3641 the smallest integer that is 13231394 that is divisible by both numbers.

Least Common Multiple (LCM) of 3634 and 3641 is 13231394.

LCM(3634,3641) = 13231394

LCM of 3634 and 3641

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

LCM of:
and

Least Common Multiple of 3634 and 3641

LCM of 3634 and 3641 is 13231394

Least common multiple can be found by multiplying the highest exponent prime factors of 3634 and 3641. First we will calculate the prime factors of 3634 and 3641.

Prime Factorization of 3634


2 3634
23 1817
79 79
1

Prime factors of 3634 are 2, 23,79. Prime factorization of 3634 in exponential form is:

3634 = 21×231×791

Prime Factorization of 3641


11 3641
331 331
1

Prime factors of 3641 are 11,331. Prime factorization of 3641 in exponential form is:

3641 = 111×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 3634 and 3641.

LCM(3634,3641) = 21×111×231×791×3311
LCM(3634,3641) = 13231394

Factors of 3634

List of positive integer factors of 3634 that divides 3634 without a remainder.

1, 2, 23, 46, 79, 158, 1817, 3634

Factors of 3641

List of positive integer factors of 3641 that divides 3641 without a remainder.

1, 11, 331, 3641

Least Common Multiple of 3634 and 3641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3634 and 3641, than apply into the LCM equation.

GCF(3634,3641) = 1
LCM(3634,3641) = ( 3634 × 3641) / 1
LCM(3634,3641) = 13231394 / 1
LCM(3634,3641) = 13231394

Properties of LCM 3634 and 3641

(i) The LCM of 3641 and 3634 is associative

LCM of 3634 and 3641 = LCM of 3641 and 3634

Related Least Common Multiples of 3634

Related Least Common Multiples of 3641

Frequently Asked Questions on LCM of 3634 and 3641

1. What is the LCM of 3634 and 3641?

Answer: LCM of 3634 and 3641 is 13231394.

2. What are the Factors of 3634?

Answer: Factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634. There are 8 integers that are factors of 3634. The greatest factor of 3634 is 3634.

3. What are the Factors of 3641?

Answer: Factors of 3641 are 1, 11, 331, 3641. There are 4 integers that are factors of 3641. The greatest factor of 3641 is 3641.

4. How to Find the LCM of 3634 and 3641?

Answer:

Least Common Multiple of 3634 and 3641 = 13231394

Step 1: Find the prime factorization of 3634

3634 = 2 x 23 x 79

Step 2: Find the prime factorization of 3641

3641 = 11 x 331

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

LCM = 13231394 = 2 x 11 x 23 x 79 x 331

Step 4: Therefore, the least common multiple of 3634 and 3641 is 13231394.