Least Common Multiple of 3624 and 3629

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 3629 the smallest integer that is 13151496 that is divisible by both numbers.

Least Common Multiple (LCM) of 3624 and 3629 is 13151496.

LCM(3624,3629) = 13151496

LCM of 3624 and 3629

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

LCM of:
and

Least Common Multiple of 3624 and 3629

LCM of 3624 and 3629 is 13151496

Least common multiple can be found by multiplying the highest exponent prime factors of 3624 and 3629. First we will calculate the prime factors of 3624 and 3629.

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 3629


19 3629
191 191
1

Prime factors of 3629 are 19,191. Prime factorization of 3629 in exponential form is:

3629 = 191×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 3624 and 3629.

LCM(3624,3629) = 23×31×191×1511×1911
LCM(3624,3629) = 13151496

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 3629

List of positive integer factors of 3629 that divides 3629 without a remainder.

1, 19, 191, 3629

Least Common Multiple of 3624 and 3629 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 3629, than apply into the LCM equation.

GCF(3624,3629) = 1
LCM(3624,3629) = ( 3624 × 3629) / 1
LCM(3624,3629) = 13151496 / 1
LCM(3624,3629) = 13151496

Properties of LCM 3624 and 3629

(i) The LCM of 3629 and 3624 is associative

LCM of 3624 and 3629 = LCM of 3629 and 3624

Related Least Common Multiples of 3624

Related Least Common Multiples of 3629

Frequently Asked Questions on LCM of 3624 and 3629

1. What is the LCM of 3624 and 3629?

Answer: LCM of 3624 and 3629 is 13151496.

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 3629?

Answer: Factors of 3629 are 1, 19, 191, 3629. There are 4 integers that are factors of 3629. The greatest factor of 3629 is 3629.

4. How to Find the LCM of 3624 and 3629?

Answer:

Least Common Multiple of 3624 and 3629 = 13151496

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 3629

3629 = 19 x 191

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

LCM = 13151496 = 2 x 2 x 2 x 3 x 19 x 151 x 191

Step 4: Therefore, the least common multiple of 3624 and 3629 is 13151496.