Least Common Multiple of 1628 and 1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1628 and 1632 the smallest integer that is 664224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1628 and 1632 is 664224.

LCM(1628,1632) = 664224

LCM of 1628 and 1632

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

LCM of:
and

Least Common Multiple of 1628 and 1632

LCM of 1628 and 1632 is 664224

Least common multiple can be found by multiplying the highest exponent prime factors of 1628 and 1632. First we will calculate the prime factors of 1628 and 1632.

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

Prime Factorization of 1632


2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 1632 are 2, 3,17. Prime factorization of 1632 in exponential form is:

1632 = 25×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1628 and 1632.

LCM(1628,1632) = 25×31×111×171×371
LCM(1628,1632) = 664224

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

Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632

Least Common Multiple of 1628 and 1632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1628 and 1632, than apply into the LCM equation.

GCF(1628,1632) = 4
LCM(1628,1632) = ( 1628 × 1632) / 4
LCM(1628,1632) = 2656896 / 4
LCM(1628,1632) = 664224

Properties of LCM 1628 and 1632

(i) The LCM of 1632 and 1628 is associative

LCM of 1628 and 1632 = LCM of 1632 and 1628

Related Least Common Multiples of 1628

Related Least Common Multiples of 1632

Frequently Asked Questions on LCM of 1628 and 1632

1. What is the LCM of 1628 and 1632?

Answer: LCM of 1628 and 1632 is 664224.

2. 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.

3. What are the Factors of 1632?

Answer: Factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632. There are 24 integers that are factors of 1632. The greatest factor of 1632 is 1632.

4. How to Find the LCM of 1628 and 1632?

Answer:

Least Common Multiple of 1628 and 1632 = 664224

Step 1: Find the prime factorization of 1628

1628 = 2 x 2 x 11 x 37

Step 2: Find the prime factorization of 1632

1632 = 2 x 2 x 2 x 2 x 2 x 3 x 17

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

LCM = 664224 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 1628 and 1632 is 664224.