Least Common Multiple of 7067 and 7075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7067 and 7075 the smallest integer that is 49999025 that is divisible by both numbers.

Least Common Multiple (LCM) of 7067 and 7075 is 49999025.

LCM(7067,7075) = 49999025

LCM of 7067 and 7075

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

LCM of:
and

Least Common Multiple of 7067 and 7075

LCM of 7067 and 7075 is 49999025

Least common multiple can be found by multiplying the highest exponent prime factors of 7067 and 7075. First we will calculate the prime factors of 7067 and 7075.

Prime Factorization of 7067


37 7067
191 191
1

Prime factors of 7067 are 37,191. Prime factorization of 7067 in exponential form is:

7067 = 371×1911

Prime Factorization of 7075


5 7075
5 1415
283 283
1

Prime factors of 7075 are 5,283. Prime factorization of 7075 in exponential form is:

7075 = 52×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 7067 and 7075.

LCM(7067,7075) = 52×371×1911×2831
LCM(7067,7075) = 49999025

Factors of 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1, 37, 191, 7067

Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1, 5, 25, 283, 1415, 7075

Least Common Multiple of 7067 and 7075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7067 and 7075, than apply into the LCM equation.

GCF(7067,7075) = 1
LCM(7067,7075) = ( 7067 × 7075) / 1
LCM(7067,7075) = 49999025 / 1
LCM(7067,7075) = 49999025

Properties of LCM 7067 and 7075

(i) The LCM of 7075 and 7067 is associative

LCM of 7067 and 7075 = LCM of 7075 and 7067

Related Least Common Multiples of 7067

Related Least Common Multiples of 7075

Frequently Asked Questions on LCM of 7067 and 7075

1. What is the LCM of 7067 and 7075?

Answer: LCM of 7067 and 7075 is 49999025.

2. What are the Factors of 7067?

Answer: Factors of 7067 are 1, 37, 191, 7067. There are 4 integers that are factors of 7067. The greatest factor of 7067 is 7067.

3. What are the Factors of 7075?

Answer: Factors of 7075 are 1, 5, 25, 283, 1415, 7075. There are 6 integers that are factors of 7075. The greatest factor of 7075 is 7075.

4. How to Find the LCM of 7067 and 7075?

Answer:

Least Common Multiple of 7067 and 7075 = 49999025

Step 1: Find the prime factorization of 7067

7067 = 37 x 191

Step 2: Find the prime factorization of 7075

7075 = 5 x 5 x 283

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

LCM = 49999025 = 5 x 5 x 37 x 191 x 283

Step 4: Therefore, the least common multiple of 7067 and 7075 is 49999025.