Least Common Multiple of 7075 and 7083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7075 and 7083 the smallest integer that is 50112225 that is divisible by both numbers.

Least Common Multiple (LCM) of 7075 and 7083 is 50112225.

LCM(7075,7083) = 50112225

LCM of 7075 and 7083

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

LCM of:
and

Least Common Multiple of 7075 and 7083

LCM of 7075 and 7083 is 50112225

Least common multiple can be found by multiplying the highest exponent prime factors of 7075 and 7083. First we will calculate the prime factors of 7075 and 7083.

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

Prime Factorization of 7083


3 7083
3 2361
787 787
1

Prime factors of 7083 are 3,787. Prime factorization of 7083 in exponential form is:

7083 = 32×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 7075 and 7083.

LCM(7075,7083) = 32×52×2831×7871
LCM(7075,7083) = 50112225

Factors of 7075

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

1, 5, 25, 283, 1415, 7075

Factors of 7083

List of positive integer factors of 7083 that divides 7083 without a remainder.

1, 3, 9, 787, 2361, 7083

Least Common Multiple of 7075 and 7083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7075 and 7083, than apply into the LCM equation.

GCF(7075,7083) = 1
LCM(7075,7083) = ( 7075 × 7083) / 1
LCM(7075,7083) = 50112225 / 1
LCM(7075,7083) = 50112225

Properties of LCM 7075 and 7083

(i) The LCM of 7083 and 7075 is associative

LCM of 7075 and 7083 = LCM of 7083 and 7075

Related Least Common Multiples of 7075

Related Least Common Multiples of 7083

Frequently Asked Questions on LCM of 7075 and 7083

1. What is the LCM of 7075 and 7083?

Answer: LCM of 7075 and 7083 is 50112225.

2. 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.

3. What are the Factors of 7083?

Answer: Factors of 7083 are 1, 3, 9, 787, 2361, 7083. There are 6 integers that are factors of 7083. The greatest factor of 7083 is 7083.

4. How to Find the LCM of 7075 and 7083?

Answer:

Least Common Multiple of 7075 and 7083 = 50112225

Step 1: Find the prime factorization of 7075

7075 = 5 x 5 x 283

Step 2: Find the prime factorization of 7083

7083 = 3 x 3 x 787

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

LCM = 50112225 = 3 x 3 x 5 x 5 x 283 x 787

Step 4: Therefore, the least common multiple of 7075 and 7083 is 50112225.