Least Common Multiple of 3618 and 3626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3618 and 3626 the smallest integer that is 6559434 that is divisible by both numbers.

Least Common Multiple (LCM) of 3618 and 3626 is 6559434.

LCM(3618,3626) = 6559434

LCM of 3618 and 3626

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

LCM of:
and

Least Common Multiple of 3618 and 3626

LCM of 3618 and 3626 is 6559434

Least common multiple can be found by multiplying the highest exponent prime factors of 3618 and 3626. First we will calculate the prime factors of 3618 and 3626.

Prime Factorization of 3618


2 3618
3 1809
3 603
3 201
67 67
1

Prime factors of 3618 are 2, 3,67. Prime factorization of 3618 in exponential form is:

3618 = 21×33×671

Prime Factorization of 3626


2 3626
7 1813
7 259
37 37
1

Prime factors of 3626 are 2, 7,37. Prime factorization of 3626 in exponential form is:

3626 = 21×72×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3618 and 3626.

LCM(3618,3626) = 21×33×72×371×671
LCM(3618,3626) = 6559434

Factors of 3618

List of positive integer factors of 3618 that divides 3618 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618

Factors of 3626

List of positive integer factors of 3626 that divides 3626 without a remainder.

1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626

Least Common Multiple of 3618 and 3626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3618 and 3626, than apply into the LCM equation.

GCF(3618,3626) = 2
LCM(3618,3626) = ( 3618 × 3626) / 2
LCM(3618,3626) = 13118868 / 2
LCM(3618,3626) = 6559434

Properties of LCM 3618 and 3626

(i) The LCM of 3626 and 3618 is associative

LCM of 3618 and 3626 = LCM of 3626 and 3618

Related Least Common Multiples of 3618

Related Least Common Multiples of 3626

Frequently Asked Questions on LCM of 3618 and 3626

1. What is the LCM of 3618 and 3626?

Answer: LCM of 3618 and 3626 is 6559434.

2. What are the Factors of 3618?

Answer: Factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618. There are 16 integers that are factors of 3618. The greatest factor of 3618 is 3618.

3. What are the Factors of 3626?

Answer: Factors of 3626 are 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626. There are 12 integers that are factors of 3626. The greatest factor of 3626 is 3626.

4. How to Find the LCM of 3618 and 3626?

Answer:

Least Common Multiple of 3618 and 3626 = 6559434

Step 1: Find the prime factorization of 3618

3618 = 2 x 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 3626

3626 = 2 x 7 x 7 x 37

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

LCM = 6559434 = 2 x 3 x 3 x 3 x 7 x 7 x 37 x 67

Step 4: Therefore, the least common multiple of 3618 and 3626 is 6559434.