Least Common Multiple of 7121 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 7121 and 7128 the smallest integer that is 50758488 that is divisible by both numbers.

Least Common Multiple (LCM) of 7121 and 7128 is 50758488.

LCM(7121,7128) = 50758488

LCM of 7121 and 7128

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

LCM of:
and

Least Common Multiple of 7121 and 7128

LCM of 7121 and 7128 is 50758488

Least common multiple can be found by multiplying the highest exponent prime factors of 7121 and 7128. First we will calculate the prime factors of 7121 and 7128.

Prime Factorization of 7121


7121 7121
1

Prime factors of 7121 are 7121. Prime factorization of 7121 in exponential form is:

7121 = 71211

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 7121 and 7128.

LCM(7121,7128) = 23×34×111×71211
LCM(7121,7128) = 50758488

Factors of 7121

List of positive integer factors of 7121 that divides 7121 without a remainder.

1, 7121

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 7121 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 7121 and 7128, than apply into the LCM equation.

GCF(7121,7128) = 1
LCM(7121,7128) = ( 7121 × 7128) / 1
LCM(7121,7128) = 50758488 / 1
LCM(7121,7128) = 50758488

Properties of LCM 7121 and 7128

(i) The LCM of 7128 and 7121 is associative

LCM of 7121 and 7128 = LCM of 7128 and 7121

Related Least Common Multiples of 7121

Related Least Common Multiples of 7128

Frequently Asked Questions on LCM of 7121 and 7128

1. What is the LCM of 7121 and 7128?

Answer: LCM of 7121 and 7128 is 50758488.

2. What are the Factors of 7121?

Answer: Factors of 7121 are 1, 7121. There are 2 integers that are factors of 7121. The greatest factor of 7121 is 7121.

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 7121 and 7128?

Answer:

Least Common Multiple of 7121 and 7128 = 50758488

Step 1: Find the prime factorization of 7121

7121 = 7121

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 = 50758488 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 7121

Step 4: Therefore, the least common multiple of 7121 and 7128 is 50758488.