Least Common Multiple of 1125 and 1128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1125 and 1128 the smallest integer that is 423000 that is divisible by both numbers.

Least Common Multiple (LCM) of 1125 and 1128 is 423000.

LCM(1125,1128) = 423000

LCM of 1125 and 1128

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

LCM of:
and

Least Common Multiple of 1125 and 1128

LCM of 1125 and 1128 is 423000

Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1128. First we will calculate the prime factors of 1125 and 1128.

Prime Factorization of 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

Prime Factorization of 1128


2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 1128 are 2, 3,47. Prime factorization of 1128 in exponential form is:

1128 = 23×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1125 and 1128.

LCM(1125,1128) = 23×32×53×471
LCM(1125,1128) = 423000

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

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

Factors of 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128

Least Common Multiple of 1125 and 1128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1125 and 1128, than apply into the LCM equation.

GCF(1125,1128) = 3
LCM(1125,1128) = ( 1125 × 1128) / 3
LCM(1125,1128) = 1269000 / 3
LCM(1125,1128) = 423000

Properties of LCM 1125 and 1128

(i) The LCM of 1128 and 1125 is associative

LCM of 1125 and 1128 = LCM of 1128 and 1125

Related Least Common Multiples of 1125

Related Least Common Multiples of 1128

Frequently Asked Questions on LCM of 1125 and 1128

1. What is the LCM of 1125 and 1128?

Answer: LCM of 1125 and 1128 is 423000.

2. What are the Factors of 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

3. What are the Factors of 1128?

Answer: Factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128. There are 16 integers that are factors of 1128. The greatest factor of 1128 is 1128.

4. How to Find the LCM of 1125 and 1128?

Answer:

Least Common Multiple of 1125 and 1128 = 423000

Step 1: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 1128

1128 = 2 x 2 x 2 x 3 x 47

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

LCM = 423000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 47

Step 4: Therefore, the least common multiple of 1125 and 1128 is 423000.