Least Common Multiple of 3614 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 3614 and 3618 the smallest integer that is 6537726 that is divisible by both numbers.

Least Common Multiple (LCM) of 3614 and 3618 is 6537726.

LCM(3614,3618) = 6537726

LCM of 3614 and 3618

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

LCM of:
and

Least Common Multiple of 3614 and 3618

LCM of 3614 and 3618 is 6537726

Least common multiple can be found by multiplying the highest exponent prime factors of 3614 and 3618. First we will calculate the prime factors of 3614 and 3618.

Prime Factorization of 3614


2 3614
13 1807
139 139
1

Prime factors of 3614 are 2, 13,139. Prime factorization of 3614 in exponential form is:

3614 = 21×131×1391

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 3614 and 3618.

LCM(3614,3618) = 21×33×131×671×1391
LCM(3614,3618) = 6537726

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1, 2, 13, 26, 139, 278, 1807, 3614

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 3614 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 3614 and 3618, than apply into the LCM equation.

GCF(3614,3618) = 2
LCM(3614,3618) = ( 3614 × 3618) / 2
LCM(3614,3618) = 13075452 / 2
LCM(3614,3618) = 6537726

Properties of LCM 3614 and 3618

(i) The LCM of 3618 and 3614 is associative

LCM of 3614 and 3618 = LCM of 3618 and 3614

Related Least Common Multiples of 3614

Related Least Common Multiples of 3618

Frequently Asked Questions on LCM of 3614 and 3618

1. What is the LCM of 3614 and 3618?

Answer: LCM of 3614 and 3618 is 6537726.

2. What are the Factors of 3614?

Answer: Factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614. There are 8 integers that are factors of 3614. The greatest factor of 3614 is 3614.

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 3614 and 3618?

Answer:

Least Common Multiple of 3614 and 3618 = 6537726

Step 1: Find the prime factorization of 3614

3614 = 2 x 13 x 139

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 = 6537726 = 2 x 3 x 3 x 3 x 13 x 67 x 139

Step 4: Therefore, the least common multiple of 3614 and 3618 is 6537726.