Least Common Multiple of 7070 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 7070 and 7075 the smallest integer that is 10004050 that is divisible by both numbers.

Least Common Multiple (LCM) of 7070 and 7075 is 10004050.

LCM(7070,7075) = 10004050

LCM of 7070 and 7075

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

LCM of:
and

Least Common Multiple of 7070 and 7075

LCM of 7070 and 7075 is 10004050

Least common multiple can be found by multiplying the highest exponent prime factors of 7070 and 7075. First we will calculate the prime factors of 7070 and 7075.

Prime Factorization of 7070


2 7070
5 3535
7 707
101 101
1

Prime factors of 7070 are 2, 5, 7,101. Prime factorization of 7070 in exponential form is:

7070 = 21×51×71×1011

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 7070 and 7075.

LCM(7070,7075) = 21×52×71×1011×2831
LCM(7070,7075) = 10004050

Factors of 7070

List of positive integer factors of 7070 that divides 7070 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070

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 7070 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 7070 and 7075, than apply into the LCM equation.

GCF(7070,7075) = 5
LCM(7070,7075) = ( 7070 × 7075) / 5
LCM(7070,7075) = 50020250 / 5
LCM(7070,7075) = 10004050

Properties of LCM 7070 and 7075

(i) The LCM of 7075 and 7070 is associative

LCM of 7070 and 7075 = LCM of 7075 and 7070

Related Least Common Multiples of 7070

Related Least Common Multiples of 7075

Frequently Asked Questions on LCM of 7070 and 7075

1. What is the LCM of 7070 and 7075?

Answer: LCM of 7070 and 7075 is 10004050.

2. What are the Factors of 7070?

Answer: Factors of 7070 are 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070. There are 16 integers that are factors of 7070. The greatest factor of 7070 is 7070.

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 7070 and 7075?

Answer:

Least Common Multiple of 7070 and 7075 = 10004050

Step 1: Find the prime factorization of 7070

7070 = 2 x 5 x 7 x 101

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 = 10004050 = 2 x 5 x 5 x 7 x 101 x 283

Step 4: Therefore, the least common multiple of 7070 and 7075 is 10004050.