Least Common Multiple of 3642 and 3649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3642 and 3649 the smallest integer that is 13289658 that is divisible by both numbers.

Least Common Multiple (LCM) of 3642 and 3649 is 13289658.

LCM(3642,3649) = 13289658

LCM of 3642 and 3649

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

LCM of:
and

Least Common Multiple of 3642 and 3649

LCM of 3642 and 3649 is 13289658

Least common multiple can be found by multiplying the highest exponent prime factors of 3642 and 3649. First we will calculate the prime factors of 3642 and 3649.

Prime Factorization of 3642


2 3642
3 1821
607 607
1

Prime factors of 3642 are 2, 3,607. Prime factorization of 3642 in exponential form is:

3642 = 21×31×6071

Prime Factorization of 3649


41 3649
89 89
1

Prime factors of 3649 are 41,89. Prime factorization of 3649 in exponential form is:

3649 = 411×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3642 and 3649.

LCM(3642,3649) = 21×31×411×891×6071
LCM(3642,3649) = 13289658

Factors of 3642

List of positive integer factors of 3642 that divides 3642 without a remainder.

1, 2, 3, 6, 607, 1214, 1821, 3642

Factors of 3649

List of positive integer factors of 3649 that divides 3649 without a remainder.

1, 41, 89, 3649

Least Common Multiple of 3642 and 3649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3642 and 3649, than apply into the LCM equation.

GCF(3642,3649) = 1
LCM(3642,3649) = ( 3642 × 3649) / 1
LCM(3642,3649) = 13289658 / 1
LCM(3642,3649) = 13289658

Properties of LCM 3642 and 3649

(i) The LCM of 3649 and 3642 is associative

LCM of 3642 and 3649 = LCM of 3649 and 3642

Related Least Common Multiples of 3642

Related Least Common Multiples of 3649

Frequently Asked Questions on LCM of 3642 and 3649

1. What is the LCM of 3642 and 3649?

Answer: LCM of 3642 and 3649 is 13289658.

2. What are the Factors of 3642?

Answer: Factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642. There are 8 integers that are factors of 3642. The greatest factor of 3642 is 3642.

3. What are the Factors of 3649?

Answer: Factors of 3649 are 1, 41, 89, 3649. There are 4 integers that are factors of 3649. The greatest factor of 3649 is 3649.

4. How to Find the LCM of 3642 and 3649?

Answer:

Least Common Multiple of 3642 and 3649 = 13289658

Step 1: Find the prime factorization of 3642

3642 = 2 x 3 x 607

Step 2: Find the prime factorization of 3649

3649 = 41 x 89

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

LCM = 13289658 = 2 x 3 x 41 x 89 x 607

Step 4: Therefore, the least common multiple of 3642 and 3649 is 13289658.