Least Common Multiple of 7124 and 7129

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 7129 the smallest integer that is 50786996 that is divisible by both numbers.

Least Common Multiple (LCM) of 7124 and 7129 is 50786996.

LCM(7124,7129) = 50786996

LCM of 7124 and 7129

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

LCM of:
and

Least Common Multiple of 7124 and 7129

LCM of 7124 and 7129 is 50786996

Least common multiple can be found by multiplying the highest exponent prime factors of 7124 and 7129. First we will calculate the prime factors of 7124 and 7129.

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 7129


7129 7129
1

Prime factors of 7129 are 7129. Prime factorization of 7129 in exponential form is:

7129 = 71291

Now multiplying the highest exponent prime factors to calculate the LCM of 7124 and 7129.

LCM(7124,7129) = 22×131×1371×71291
LCM(7124,7129) = 50786996

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 7129

List of positive integer factors of 7129 that divides 7129 without a remainder.

1, 7129

Least Common Multiple of 7124 and 7129 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 7129, than apply into the LCM equation.

GCF(7124,7129) = 1
LCM(7124,7129) = ( 7124 × 7129) / 1
LCM(7124,7129) = 50786996 / 1
LCM(7124,7129) = 50786996

Properties of LCM 7124 and 7129

(i) The LCM of 7129 and 7124 is associative

LCM of 7124 and 7129 = LCM of 7129 and 7124

Related Least Common Multiples of 7124

Related Least Common Multiples of 7129

Frequently Asked Questions on LCM of 7124 and 7129

1. What is the LCM of 7124 and 7129?

Answer: LCM of 7124 and 7129 is 50786996.

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 7129?

Answer: Factors of 7129 are 1, 7129. There are 2 integers that are factors of 7129. The greatest factor of 7129 is 7129.

4. How to Find the LCM of 7124 and 7129?

Answer:

Least Common Multiple of 7124 and 7129 = 50786996

Step 1: Find the prime factorization of 7124

7124 = 2 x 2 x 13 x 137

Step 2: Find the prime factorization of 7129

7129 = 7129

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

LCM = 50786996 = 2 x 2 x 13 x 137 x 7129

Step 4: Therefore, the least common multiple of 7124 and 7129 is 50786996.