Least Common Multiple of 7123 and 7128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7123 and 7128 the smallest integer that is 50772744 that is divisible by both numbers.

Least Common Multiple (LCM) of 7123 and 7128 is 50772744.

LCM(7123,7128) = 50772744

LCM of 7123 and 7128

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

LCM of:
and

Least Common Multiple of 7123 and 7128

LCM of 7123 and 7128 is 50772744

Least common multiple can be found by multiplying the highest exponent prime factors of 7123 and 7128. First we will calculate the prime factors of 7123 and 7128.

Prime Factorization of 7123


17 7123
419 419
1

Prime factors of 7123 are 17,419. Prime factorization of 7123 in exponential form is:

7123 = 171×4191

Prime Factorization of 7128


2 7128
2 3564
2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 7128 are 2, 3,11. Prime factorization of 7128 in exponential form is:

7128 = 23×34×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7123 and 7128.

LCM(7123,7128) = 23×34×111×171×4191
LCM(7123,7128) = 50772744

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1, 17, 419, 7123

Factors of 7128

List of positive integer factors of 7128 that divides 7128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128

Least Common Multiple of 7123 and 7128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7123 and 7128, than apply into the LCM equation.

GCF(7123,7128) = 1
LCM(7123,7128) = ( 7123 × 7128) / 1
LCM(7123,7128) = 50772744 / 1
LCM(7123,7128) = 50772744

Properties of LCM 7123 and 7128

(i) The LCM of 7128 and 7123 is associative

LCM of 7123 and 7128 = LCM of 7128 and 7123

Related Least Common Multiples of 7123

Related Least Common Multiples of 7128

Frequently Asked Questions on LCM of 7123 and 7128

1. What is the LCM of 7123 and 7128?

Answer: LCM of 7123 and 7128 is 50772744.

2. What are the Factors of 7123?

Answer: Factors of 7123 are 1, 17, 419, 7123. There are 4 integers that are factors of 7123. The greatest factor of 7123 is 7123.

3. What are the Factors of 7128?

Answer: Factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128. There are 40 integers that are factors of 7128. The greatest factor of 7128 is 7128.

4. How to Find the LCM of 7123 and 7128?

Answer:

Least Common Multiple of 7123 and 7128 = 50772744

Step 1: Find the prime factorization of 7123

7123 = 17 x 419

Step 2: Find the prime factorization of 7128

7128 = 2 x 2 x 2 x 3 x 3 x 3 x 3 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 = 50772744 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 17 x 419

Step 4: Therefore, the least common multiple of 7123 and 7128 is 50772744.