Least Common Multiple of 1621 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 1621 and 1629 the smallest integer that is 2640609 that is divisible by both numbers.

Least Common Multiple (LCM) of 1621 and 1629 is 2640609.

LCM(1621,1629) = 2640609

LCM of 1621 and 1629

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

LCM of:
and

Least Common Multiple of 1621 and 1629

LCM of 1621 and 1629 is 2640609

Least common multiple can be found by multiplying the highest exponent prime factors of 1621 and 1629. First we will calculate the prime factors of 1621 and 1629.

Prime Factorization of 1621


1621 1621
1

Prime factors of 1621 are 1621. Prime factorization of 1621 in exponential form is:

1621 = 16211

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 1621 and 1629.

LCM(1621,1629) = 32×1811×16211
LCM(1621,1629) = 2640609

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1, 1621

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 1621 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 1621 and 1629, than apply into the LCM equation.

GCF(1621,1629) = 1
LCM(1621,1629) = ( 1621 × 1629) / 1
LCM(1621,1629) = 2640609 / 1
LCM(1621,1629) = 2640609

Properties of LCM 1621 and 1629

(i) The LCM of 1629 and 1621 is associative

LCM of 1621 and 1629 = LCM of 1629 and 1621

Related Least Common Multiples of 1621

Related Least Common Multiples of 1629

Frequently Asked Questions on LCM of 1621 and 1629

1. What is the LCM of 1621 and 1629?

Answer: LCM of 1621 and 1629 is 2640609.

2. What are the Factors of 1621?

Answer: Factors of 1621 are 1, 1621. There are 2 integers that are factors of 1621. The greatest factor of 1621 is 1621.

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 1621 and 1629?

Answer:

Least Common Multiple of 1621 and 1629 = 2640609

Step 1: Find the prime factorization of 1621

1621 = 1621

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 = 2640609 = 3 x 3 x 181 x 1621

Step 4: Therefore, the least common multiple of 1621 and 1629 is 2640609.