Least Common Multiple of 125 and 128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 125 and 128 the smallest integer that is 16000 that is divisible by both numbers.

Least Common Multiple (LCM) of 125 and 128 is 16000.

LCM(125,128) = 16000

LCM of 125 and 128

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

LCM of:
and

Least Common Multiple of 125 and 128

LCM of 125 and 128 is 16000

Least common multiple can be found by multiplying the highest exponent prime factors of 125 and 128. First we will calculate the prime factors of 125 and 128.

Prime Factorization of 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

Prime Factorization of 128


2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:

128 = 27

Now multiplying the highest exponent prime factors to calculate the LCM of 125 and 128.

LCM(125,128) = 27×53
LCM(125,128) = 16000

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Least Common Multiple of 125 and 128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 125 and 128, than apply into the LCM equation.

GCF(125,128) = 1
LCM(125,128) = ( 125 × 128) / 1
LCM(125,128) = 16000 / 1
LCM(125,128) = 16000

Properties of LCM 125 and 128

(i) The LCM of 128 and 125 is associative

LCM of 125 and 128 = LCM of 128 and 125

Related Least Common Multiples of 125

Related Least Common Multiples of 128

Frequently Asked Questions on LCM of 125 and 128

1. What is the LCM of 125 and 128?

Answer: LCM of 125 and 128 is 16000.

2. What are the Factors of 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

3. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

4. How to Find the LCM of 125 and 128?

Answer:

Least Common Multiple of 125 and 128 = 16000

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

Step 2: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

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

LCM = 16000 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5

Step 4: Therefore, the least common multiple of 125 and 128 is 16000.