Least Common Multiple of 7122 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 7122 and 7128 the smallest integer that is 8460936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7122 and 7128 is 8460936.

LCM(7122,7128) = 8460936

LCM of 7122 and 7128

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

LCM of:
and

Least Common Multiple of 7122 and 7128

LCM of 7122 and 7128 is 8460936

Least common multiple can be found by multiplying the highest exponent prime factors of 7122 and 7128. First we will calculate the prime factors of 7122 and 7128.

Prime Factorization of 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2, 3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

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 7122 and 7128.

LCM(7122,7128) = 23×34×111×11871
LCM(7122,7128) = 8460936

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1, 2, 3, 6, 1187, 2374, 3561, 7122

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 7122 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 7122 and 7128, than apply into the LCM equation.

GCF(7122,7128) = 6
LCM(7122,7128) = ( 7122 × 7128) / 6
LCM(7122,7128) = 50765616 / 6
LCM(7122,7128) = 8460936

Properties of LCM 7122 and 7128

(i) The LCM of 7128 and 7122 is associative

LCM of 7122 and 7128 = LCM of 7128 and 7122

Related Least Common Multiples of 7122

Related Least Common Multiples of 7128

Frequently Asked Questions on LCM of 7122 and 7128

1. What is the LCM of 7122 and 7128?

Answer: LCM of 7122 and 7128 is 8460936.

2. What are the Factors of 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

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 7122 and 7128?

Answer:

Least Common Multiple of 7122 and 7128 = 8460936

Step 1: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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 = 8460936 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 1187

Step 4: Therefore, the least common multiple of 7122 and 7128 is 8460936.