Least Common Multiple of 3624 and 3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3624 and 3627 the smallest integer that is 4381416 that is divisible by both numbers.

Least Common Multiple (LCM) of 3624 and 3627 is 4381416.

LCM(3624,3627) = 4381416

LCM of 3624 and 3627

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

LCM of:
and

Least Common Multiple of 3624 and 3627

LCM of 3624 and 3627 is 4381416

Least common multiple can be found by multiplying the highest exponent prime factors of 3624 and 3627. First we will calculate the prime factors of 3624 and 3627.

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

Prime Factorization of 3627


3 3627
3 1209
13 403
31 31
1

Prime factors of 3627 are 3, 13,31. Prime factorization of 3627 in exponential form is:

3627 = 32×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3624 and 3627.

LCM(3624,3627) = 23×32×131×311×1511
LCM(3624,3627) = 4381416

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

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627

Least Common Multiple of 3624 and 3627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3624 and 3627, than apply into the LCM equation.

GCF(3624,3627) = 3
LCM(3624,3627) = ( 3624 × 3627) / 3
LCM(3624,3627) = 13144248 / 3
LCM(3624,3627) = 4381416

Properties of LCM 3624 and 3627

(i) The LCM of 3627 and 3624 is associative

LCM of 3624 and 3627 = LCM of 3627 and 3624

Related Least Common Multiples of 3624

Related Least Common Multiples of 3627

Frequently Asked Questions on LCM of 3624 and 3627

1. What is the LCM of 3624 and 3627?

Answer: LCM of 3624 and 3627 is 4381416.

2. 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.

3. What are the Factors of 3627?

Answer: Factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627. There are 12 integers that are factors of 3627. The greatest factor of 3627 is 3627.

4. How to Find the LCM of 3624 and 3627?

Answer:

Least Common Multiple of 3624 and 3627 = 4381416

Step 1: Find the prime factorization of 3624

3624 = 2 x 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 3627

3627 = 3 x 3 x 13 x 31

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

LCM = 4381416 = 2 x 2 x 2 x 3 x 3 x 13 x 31 x 151

Step 4: Therefore, the least common multiple of 3624 and 3627 is 4381416.