Least Common Multiple of 1627 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 1627 and 1632 the smallest integer that is 2655264 that is divisible by both numbers.

Least Common Multiple (LCM) of 1627 and 1632 is 2655264.

LCM(1627,1632) = 2655264

LCM of 1627 and 1632

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

LCM of:
and

Least Common Multiple of 1627 and 1632

LCM of 1627 and 1632 is 2655264

Least common multiple can be found by multiplying the highest exponent prime factors of 1627 and 1632. First we will calculate the prime factors of 1627 and 1632.

Prime Factorization of 1627


1627 1627
1

Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:

1627 = 16271

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 1627 and 1632.

LCM(1627,1632) = 25×31×171×16271
LCM(1627,1632) = 2655264

Factors of 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1, 1627

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 1627 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 1627 and 1632, than apply into the LCM equation.

GCF(1627,1632) = 1
LCM(1627,1632) = ( 1627 × 1632) / 1
LCM(1627,1632) = 2655264 / 1
LCM(1627,1632) = 2655264

Properties of LCM 1627 and 1632

(i) The LCM of 1632 and 1627 is associative

LCM of 1627 and 1632 = LCM of 1632 and 1627

Related Least Common Multiples of 1627

Related Least Common Multiples of 1632

Frequently Asked Questions on LCM of 1627 and 1632

1. What is the LCM of 1627 and 1632?

Answer: LCM of 1627 and 1632 is 2655264.

2. What are the Factors of 1627?

Answer: Factors of 1627 are 1, 1627. There are 2 integers that are factors of 1627. The greatest factor of 1627 is 1627.

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 1627 and 1632?

Answer:

Least Common Multiple of 1627 and 1632 = 2655264

Step 1: Find the prime factorization of 1627

1627 = 1627

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 = 2655264 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 1627

Step 4: Therefore, the least common multiple of 1627 and 1632 is 2655264.