Least Common Multiple of 4123 and 4128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4123 and 4128 the smallest integer that is 17019744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4123 and 4128 is 17019744.

LCM(4123,4128) = 17019744

LCM of 4123 and 4128

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

LCM of:
and

Least Common Multiple of 4123 and 4128

LCM of 4123 and 4128 is 17019744

Least common multiple can be found by multiplying the highest exponent prime factors of 4123 and 4128. First we will calculate the prime factors of 4123 and 4128.

Prime Factorization of 4123


7 4123
19 589
31 31
1

Prime factors of 4123 are 7, 19,31. Prime factorization of 4123 in exponential form is:

4123 = 71×191×311

Prime Factorization of 4128


2 4128
2 2064
2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 4128 are 2, 3,43. Prime factorization of 4128 in exponential form is:

4128 = 25×31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4123 and 4128.

LCM(4123,4128) = 25×31×71×191×311×431
LCM(4123,4128) = 17019744

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1, 7, 19, 31, 133, 217, 589, 4123

Factors of 4128

List of positive integer factors of 4128 that divides 4128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128

Least Common Multiple of 4123 and 4128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4123 and 4128, than apply into the LCM equation.

GCF(4123,4128) = 1
LCM(4123,4128) = ( 4123 × 4128) / 1
LCM(4123,4128) = 17019744 / 1
LCM(4123,4128) = 17019744

Properties of LCM 4123 and 4128

(i) The LCM of 4128 and 4123 is associative

LCM of 4123 and 4128 = LCM of 4128 and 4123

Related Least Common Multiples of 4123

Related Least Common Multiples of 4128

Frequently Asked Questions on LCM of 4123 and 4128

1. What is the LCM of 4123 and 4128?

Answer: LCM of 4123 and 4128 is 17019744.

2. What are the Factors of 4123?

Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.

3. What are the Factors of 4128?

Answer: Factors of 4128 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 86, 96, 129, 172, 258, 344, 516, 688, 1032, 1376, 2064, 4128. There are 24 integers that are factors of 4128. The greatest factor of 4128 is 4128.

4. How to Find the LCM of 4123 and 4128?

Answer:

Least Common Multiple of 4123 and 4128 = 17019744

Step 1: Find the prime factorization of 4123

4123 = 7 x 19 x 31

Step 2: Find the prime factorization of 4128

4128 = 2 x 2 x 2 x 2 x 2 x 3 x 43

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

LCM = 17019744 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 31 x 43

Step 4: Therefore, the least common multiple of 4123 and 4128 is 17019744.