Least Common Multiple of 5624 and 5625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5624 and 5625 the smallest integer that is 31635000 that is divisible by both numbers.

Least Common Multiple (LCM) of 5624 and 5625 is 31635000.

LCM(5624,5625) = 31635000

LCM of 5624 and 5625

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

LCM of:
and

Least Common Multiple of 5624 and 5625

LCM of 5624 and 5625 is 31635000

Least common multiple can be found by multiplying the highest exponent prime factors of 5624 and 5625. First we will calculate the prime factors of 5624 and 5625.

Prime Factorization of 5624


2 5624
2 2812
2 1406
19 703
37 37
1

Prime factors of 5624 are 2, 19,37. Prime factorization of 5624 in exponential form is:

5624 = 23×191×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5624 and 5625.

LCM(5624,5625) = 23×32×54×191×371
LCM(5624,5625) = 31635000

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624

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

Least Common Multiple of 5624 and 5625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5624 and 5625, than apply into the LCM equation.

GCF(5624,5625) = 1
LCM(5624,5625) = ( 5624 × 5625) / 1
LCM(5624,5625) = 31635000 / 1
LCM(5624,5625) = 31635000

Properties of LCM 5624 and 5625

(i) The LCM of 5625 and 5624 is associative

LCM of 5624 and 5625 = LCM of 5625 and 5624

Related Least Common Multiples of 5624

Related Least Common Multiples of 5625

Frequently Asked Questions on LCM of 5624 and 5625

1. What is the LCM of 5624 and 5625?

Answer: LCM of 5624 and 5625 is 31635000.

2. What are the Factors of 5624?

Answer: Factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624. There are 16 integers that are factors of 5624. The greatest factor of 5624 is 5624.

3. 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.

4. How to Find the LCM of 5624 and 5625?

Answer:

Least Common Multiple of 5624 and 5625 = 31635000

Step 1: Find the prime factorization of 5624

5624 = 2 x 2 x 2 x 19 x 37

Step 2: Find the prime factorization of 5625

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

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

LCM = 31635000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 19 x 37

Step 4: Therefore, the least common multiple of 5624 and 5625 is 31635000.