Least Common Multiple of 5625 and 5632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5625 and 5632 the smallest integer that is 31680000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5625 and 5632 is 31680000.

LCM(5625,5632) = 31680000

LCM of 5625 and 5632

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

LCM of:
and

Least Common Multiple of 5625 and 5632

LCM of 5625 and 5632 is 31680000

Least common multiple can be found by multiplying the highest exponent prime factors of 5625 and 5632. First we will calculate the prime factors of 5625 and 5632.

Prime Factorization of 5625


3 5625
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 5625 are 3,5. Prime factorization of 5625 in exponential form is:

5625 = 32×54

Prime Factorization of 5632


2 5632
2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 5632 are 2,11. Prime factorization of 5632 in exponential form is:

5632 = 29×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5625 and 5632.

LCM(5625,5632) = 29×32×54×111
LCM(5625,5632) = 31680000

Factors of 5625

List of positive integer factors of 5625 that divides 5625 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625

Factors of 5632

List of positive integer factors of 5632 that divides 5632 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632

Least Common Multiple of 5625 and 5632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5625 and 5632, than apply into the LCM equation.

GCF(5625,5632) = 1
LCM(5625,5632) = ( 5625 × 5632) / 1
LCM(5625,5632) = 31680000 / 1
LCM(5625,5632) = 31680000

Properties of LCM 5625 and 5632

(i) The LCM of 5632 and 5625 is associative

LCM of 5625 and 5632 = LCM of 5632 and 5625

Related Least Common Multiples of 5625

Related Least Common Multiples of 5632

Frequently Asked Questions on LCM of 5625 and 5632

1. What is the LCM of 5625 and 5632?

Answer: LCM of 5625 and 5632 is 31680000.

2. What are the Factors of 5625?

Answer: Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. There are 15 integers that are factors of 5625. The greatest factor of 5625 is 5625.

3. What are the Factors of 5632?

Answer: Factors of 5632 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632. There are 20 integers that are factors of 5632. The greatest factor of 5632 is 5632.

4. How to Find the LCM of 5625 and 5632?

Answer:

Least Common Multiple of 5625 and 5632 = 31680000

Step 1: Find the prime factorization of 5625

5625 = 3 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 5632

5632 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

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

LCM = 31680000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 5625 and 5632 is 31680000.