Least Common Multiple of 1623 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 1623 and 1629 the smallest integer that is 881289 that is divisible by both numbers.

Least Common Multiple (LCM) of 1623 and 1629 is 881289.

LCM(1623,1629) = 881289

LCM of 1623 and 1629

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

LCM of:
and

Least Common Multiple of 1623 and 1629

LCM of 1623 and 1629 is 881289

Least common multiple can be found by multiplying the highest exponent prime factors of 1623 and 1629. First we will calculate the prime factors of 1623 and 1629.

Prime Factorization of 1623


3 1623
541 541
1

Prime factors of 1623 are 3,541. Prime factorization of 1623 in exponential form is:

1623 = 31×5411

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 1623 and 1629.

LCM(1623,1629) = 32×1811×5411
LCM(1623,1629) = 881289

Factors of 1623

List of positive integer factors of 1623 that divides 1623 without a remainder.

1, 3, 541, 1623

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 1623 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 1623 and 1629, than apply into the LCM equation.

GCF(1623,1629) = 3
LCM(1623,1629) = ( 1623 × 1629) / 3
LCM(1623,1629) = 2643867 / 3
LCM(1623,1629) = 881289

Properties of LCM 1623 and 1629

(i) The LCM of 1629 and 1623 is associative

LCM of 1623 and 1629 = LCM of 1629 and 1623

Related Least Common Multiples of 1623

Related Least Common Multiples of 1629

Frequently Asked Questions on LCM of 1623 and 1629

1. What is the LCM of 1623 and 1629?

Answer: LCM of 1623 and 1629 is 881289.

2. What are the Factors of 1623?

Answer: Factors of 1623 are 1, 3, 541, 1623. There are 4 integers that are factors of 1623. The greatest factor of 1623 is 1623.

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 1623 and 1629?

Answer:

Least Common Multiple of 1623 and 1629 = 881289

Step 1: Find the prime factorization of 1623

1623 = 3 x 541

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 = 881289 = 3 x 3 x 181 x 541

Step 4: Therefore, the least common multiple of 1623 and 1629 is 881289.