Least Common Multiple of 7128 and 7135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7128 and 7135 the smallest integer that is 50858280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7128 and 7135 is 50858280.

LCM(7128,7135) = 50858280

LCM of 7128 and 7135

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

LCM of:
and

Least Common Multiple of 7128 and 7135

LCM of 7128 and 7135 is 50858280

Least common multiple can be found by multiplying the highest exponent prime factors of 7128 and 7135. First we will calculate the prime factors of 7128 and 7135.

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

Prime Factorization of 7135


5 7135
1427 1427
1

Prime factors of 7135 are 5,1427. Prime factorization of 7135 in exponential form is:

7135 = 51×14271

Now multiplying the highest exponent prime factors to calculate the LCM of 7128 and 7135.

LCM(7128,7135) = 23×34×51×111×14271
LCM(7128,7135) = 50858280

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

Factors of 7135

List of positive integer factors of 7135 that divides 7135 without a remainder.

1, 5, 1427, 7135

Least Common Multiple of 7128 and 7135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7128 and 7135, than apply into the LCM equation.

GCF(7128,7135) = 1
LCM(7128,7135) = ( 7128 × 7135) / 1
LCM(7128,7135) = 50858280 / 1
LCM(7128,7135) = 50858280

Properties of LCM 7128 and 7135

(i) The LCM of 7135 and 7128 is associative

LCM of 7128 and 7135 = LCM of 7135 and 7128

Related Least Common Multiples of 7128

Related Least Common Multiples of 7135

Frequently Asked Questions on LCM of 7128 and 7135

1. What is the LCM of 7128 and 7135?

Answer: LCM of 7128 and 7135 is 50858280.

2. 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.

3. What are the Factors of 7135?

Answer: Factors of 7135 are 1, 5, 1427, 7135. There are 4 integers that are factors of 7135. The greatest factor of 7135 is 7135.

4. How to Find the LCM of 7128 and 7135?

Answer:

Least Common Multiple of 7128 and 7135 = 50858280

Step 1: Find the prime factorization of 7128

7128 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 7135

7135 = 5 x 1427

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

LCM = 50858280 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 1427

Step 4: Therefore, the least common multiple of 7128 and 7135 is 50858280.