Least Common Multiple of 1623 and 1628

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 1628 the smallest integer that is 2642244 that is divisible by both numbers.

Least Common Multiple (LCM) of 1623 and 1628 is 2642244.

LCM(1623,1628) = 2642244

LCM of 1623 and 1628

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

LCM of:
and

Least Common Multiple of 1623 and 1628

LCM of 1623 and 1628 is 2642244

Least common multiple can be found by multiplying the highest exponent prime factors of 1623 and 1628. First we will calculate the prime factors of 1623 and 1628.

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 1628


2 1628
2 814
11 407
37 37
1

Prime factors of 1628 are 2, 11,37. Prime factorization of 1628 in exponential form is:

1628 = 22×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 1623 and 1628.

LCM(1623,1628) = 22×31×111×371×5411
LCM(1623,1628) = 2642244

Factors of 1623

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

1, 3, 541, 1623

Factors of 1628

List of positive integer factors of 1628 that divides 1628 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628

Least Common Multiple of 1623 and 1628 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 1628, than apply into the LCM equation.

GCF(1623,1628) = 1
LCM(1623,1628) = ( 1623 × 1628) / 1
LCM(1623,1628) = 2642244 / 1
LCM(1623,1628) = 2642244

Properties of LCM 1623 and 1628

(i) The LCM of 1628 and 1623 is associative

LCM of 1623 and 1628 = LCM of 1628 and 1623

Related Least Common Multiples of 1623

Related Least Common Multiples of 1628

Frequently Asked Questions on LCM of 1623 and 1628

1. What is the LCM of 1623 and 1628?

Answer: LCM of 1623 and 1628 is 2642244.

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 1628?

Answer: Factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628. There are 12 integers that are factors of 1628. The greatest factor of 1628 is 1628.

4. How to Find the LCM of 1623 and 1628?

Answer:

Least Common Multiple of 1623 and 1628 = 2642244

Step 1: Find the prime factorization of 1623

1623 = 3 x 541

Step 2: Find the prime factorization of 1628

1628 = 2 x 2 x 11 x 37

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

LCM = 2642244 = 2 x 2 x 3 x 11 x 37 x 541

Step 4: Therefore, the least common multiple of 1623 and 1628 is 2642244.