Least Common Multiple of 7124 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 7124 and 7128 the smallest integer that is 12694968 that is divisible by both numbers.

Least Common Multiple (LCM) of 7124 and 7128 is 12694968.

LCM(7124,7128) = 12694968

LCM of 7124 and 7128

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

LCM of:
and

Least Common Multiple of 7124 and 7128

LCM of 7124 and 7128 is 12694968

Least common multiple can be found by multiplying the highest exponent prime factors of 7124 and 7128. First we will calculate the prime factors of 7124 and 7128.

Prime Factorization of 7124


2 7124
2 3562
13 1781
137 137
1

Prime factors of 7124 are 2, 13,137. Prime factorization of 7124 in exponential form is:

7124 = 22×131×1371

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 7124 and 7128.

LCM(7124,7128) = 23×34×111×131×1371
LCM(7124,7128) = 12694968

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124

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 7124 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 7124 and 7128, than apply into the LCM equation.

GCF(7124,7128) = 4
LCM(7124,7128) = ( 7124 × 7128) / 4
LCM(7124,7128) = 50779872 / 4
LCM(7124,7128) = 12694968

Properties of LCM 7124 and 7128

(i) The LCM of 7128 and 7124 is associative

LCM of 7124 and 7128 = LCM of 7128 and 7124

Related Least Common Multiples of 7124

Related Least Common Multiples of 7128

Frequently Asked Questions on LCM of 7124 and 7128

1. What is the LCM of 7124 and 7128?

Answer: LCM of 7124 and 7128 is 12694968.

2. What are the Factors of 7124?

Answer: Factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124. There are 12 integers that are factors of 7124. The greatest factor of 7124 is 7124.

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 7124 and 7128?

Answer:

Least Common Multiple of 7124 and 7128 = 12694968

Step 1: Find the prime factorization of 7124

7124 = 2 x 2 x 13 x 137

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 = 12694968 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 13 x 137

Step 4: Therefore, the least common multiple of 7124 and 7128 is 12694968.