Least Common Multiple of 3612 and 3618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3612 and 3618 the smallest integer that is 2178036 that is divisible by both numbers.

Least Common Multiple (LCM) of 3612 and 3618 is 2178036.

LCM(3612,3618) = 2178036

LCM of 3612 and 3618

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

LCM of:
and

Least Common Multiple of 3612 and 3618

LCM of 3612 and 3618 is 2178036

Least common multiple can be found by multiplying the highest exponent prime factors of 3612 and 3618. First we will calculate the prime factors of 3612 and 3618.

Prime Factorization of 3612


2 3612
2 1806
3 903
7 301
43 43
1

Prime factors of 3612 are 2, 3, 7,43. Prime factorization of 3612 in exponential form is:

3612 = 22×31×71×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3612 and 3618.

LCM(3612,3618) = 22×33×71×431×671
LCM(3612,3618) = 2178036

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612

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

Least Common Multiple of 3612 and 3618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3612 and 3618, than apply into the LCM equation.

GCF(3612,3618) = 6
LCM(3612,3618) = ( 3612 × 3618) / 6
LCM(3612,3618) = 13068216 / 6
LCM(3612,3618) = 2178036

Properties of LCM 3612 and 3618

(i) The LCM of 3618 and 3612 is associative

LCM of 3612 and 3618 = LCM of 3618 and 3612

Related Least Common Multiples of 3612

Related Least Common Multiples of 3618

Frequently Asked Questions on LCM of 3612 and 3618

1. What is the LCM of 3612 and 3618?

Answer: LCM of 3612 and 3618 is 2178036.

2. What are the Factors of 3612?

Answer: Factors of 3612 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 43, 84, 86, 129, 172, 258, 301, 516, 602, 903, 1204, 1806, 3612. There are 24 integers that are factors of 3612. The greatest factor of 3612 is 3612.

3. 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.

4. How to Find the LCM of 3612 and 3618?

Answer:

Least Common Multiple of 3612 and 3618 = 2178036

Step 1: Find the prime factorization of 3612

3612 = 2 x 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 3618

3618 = 2 x 3 x 3 x 3 x 67

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

LCM = 2178036 = 2 x 2 x 3 x 3 x 3 x 7 x 43 x 67

Step 4: Therefore, the least common multiple of 3612 and 3618 is 2178036.