Least Common Multiple of 3618 and 3624

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 3624 the smallest integer that is 2185272 that is divisible by both numbers.

Least Common Multiple (LCM) of 3618 and 3624 is 2185272.

LCM(3618,3624) = 2185272

LCM of 3618 and 3624

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

LCM of:
and

Least Common Multiple of 3618 and 3624

LCM of 3618 and 3624 is 2185272

Least common multiple can be found by multiplying the highest exponent prime factors of 3618 and 3624. First we will calculate the prime factors of 3618 and 3624.

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 3624


2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 3624 are 2, 3,151. Prime factorization of 3624 in exponential form is:

3624 = 23×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3618 and 3624.

LCM(3618,3624) = 23×33×671×1511
LCM(3618,3624) = 2185272

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 3624

List of positive integer factors of 3624 that divides 3624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624

Least Common Multiple of 3618 and 3624 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 3624, than apply into the LCM equation.

GCF(3618,3624) = 6
LCM(3618,3624) = ( 3618 × 3624) / 6
LCM(3618,3624) = 13111632 / 6
LCM(3618,3624) = 2185272

Properties of LCM 3618 and 3624

(i) The LCM of 3624 and 3618 is associative

LCM of 3618 and 3624 = LCM of 3624 and 3618

Related Least Common Multiples of 3618

Related Least Common Multiples of 3624

Frequently Asked Questions on LCM of 3618 and 3624

1. What is the LCM of 3618 and 3624?

Answer: LCM of 3618 and 3624 is 2185272.

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 3624?

Answer: Factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624. There are 16 integers that are factors of 3624. The greatest factor of 3624 is 3624.

4. How to Find the LCM of 3618 and 3624?

Answer:

Least Common Multiple of 3618 and 3624 = 2185272

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 3624

3624 = 2 x 2 x 2 x 3 x 151

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

LCM = 2185272 = 2 x 2 x 2 x 3 x 3 x 3 x 67 x 151

Step 4: Therefore, the least common multiple of 3618 and 3624 is 2185272.