Least Common Multiple of 1624 and 1629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1624 and 1629 the smallest integer that is 2645496 that is divisible by both numbers.

Least Common Multiple (LCM) of 1624 and 1629 is 2645496.

LCM(1624,1629) = 2645496

LCM of 1624 and 1629

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

LCM of:
and

Least Common Multiple of 1624 and 1629

LCM of 1624 and 1629 is 2645496

Least common multiple can be found by multiplying the highest exponent prime factors of 1624 and 1629. First we will calculate the prime factors of 1624 and 1629.

Prime Factorization of 1624


2 1624
2 812
2 406
7 203
29 29
1

Prime factors of 1624 are 2, 7,29. Prime factorization of 1624 in exponential form is:

1624 = 23×71×291

Prime Factorization of 1629


3 1629
3 543
181 181
1

Prime factors of 1629 are 3,181. Prime factorization of 1629 in exponential form is:

1629 = 32×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1624 and 1629.

LCM(1624,1629) = 23×32×71×291×1811
LCM(1624,1629) = 2645496

Factors of 1624

List of positive integer factors of 1624 that divides 1624 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624

Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1, 3, 9, 181, 543, 1629

Least Common Multiple of 1624 and 1629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1624 and 1629, than apply into the LCM equation.

GCF(1624,1629) = 1
LCM(1624,1629) = ( 1624 × 1629) / 1
LCM(1624,1629) = 2645496 / 1
LCM(1624,1629) = 2645496

Properties of LCM 1624 and 1629

(i) The LCM of 1629 and 1624 is associative

LCM of 1624 and 1629 = LCM of 1629 and 1624

Related Least Common Multiples of 1624

Related Least Common Multiples of 1629

Frequently Asked Questions on LCM of 1624 and 1629

1. What is the LCM of 1624 and 1629?

Answer: LCM of 1624 and 1629 is 2645496.

2. What are the Factors of 1624?

Answer: Factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624. There are 16 integers that are factors of 1624. The greatest factor of 1624 is 1624.

3. What are the Factors of 1629?

Answer: Factors of 1629 are 1, 3, 9, 181, 543, 1629. There are 6 integers that are factors of 1629. The greatest factor of 1629 is 1629.

4. How to Find the LCM of 1624 and 1629?

Answer:

Least Common Multiple of 1624 and 1629 = 2645496

Step 1: Find the prime factorization of 1624

1624 = 2 x 2 x 2 x 7 x 29

Step 2: Find the prime factorization of 1629

1629 = 3 x 3 x 181

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

LCM = 2645496 = 2 x 2 x 2 x 3 x 3 x 7 x 29 x 181

Step 4: Therefore, the least common multiple of 1624 and 1629 is 2645496.