Least Common Multiple of 7124 and 7126

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 7126 the smallest integer that is 25382812 that is divisible by both numbers.

Least Common Multiple (LCM) of 7124 and 7126 is 25382812.

LCM(7124,7126) = 25382812

LCM of 7124 and 7126

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

LCM of:
and

Least Common Multiple of 7124 and 7126

LCM of 7124 and 7126 is 25382812

Least common multiple can be found by multiplying the highest exponent prime factors of 7124 and 7126. First we will calculate the prime factors of 7124 and 7126.

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 7126


2 7126
7 3563
509 509
1

Prime factors of 7126 are 2, 7,509. Prime factorization of 7126 in exponential form is:

7126 = 21×71×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 7124 and 7126.

LCM(7124,7126) = 22×71×131×1371×5091
LCM(7124,7126) = 25382812

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 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1, 2, 7, 14, 509, 1018, 3563, 7126

Least Common Multiple of 7124 and 7126 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 7126, than apply into the LCM equation.

GCF(7124,7126) = 2
LCM(7124,7126) = ( 7124 × 7126) / 2
LCM(7124,7126) = 50765624 / 2
LCM(7124,7126) = 25382812

Properties of LCM 7124 and 7126

(i) The LCM of 7126 and 7124 is associative

LCM of 7124 and 7126 = LCM of 7126 and 7124

Related Least Common Multiples of 7124

Related Least Common Multiples of 7126

Frequently Asked Questions on LCM of 7124 and 7126

1. What is the LCM of 7124 and 7126?

Answer: LCM of 7124 and 7126 is 25382812.

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 7126?

Answer: Factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126. There are 8 integers that are factors of 7126. The greatest factor of 7126 is 7126.

4. How to Find the LCM of 7124 and 7126?

Answer:

Least Common Multiple of 7124 and 7126 = 25382812

Step 1: Find the prime factorization of 7124

7124 = 2 x 2 x 13 x 137

Step 2: Find the prime factorization of 7126

7126 = 2 x 7 x 509

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

LCM = 25382812 = 2 x 2 x 7 x 13 x 137 x 509

Step 4: Therefore, the least common multiple of 7124 and 7126 is 25382812.