Least Common Multiple of 7090 and 7095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7090 and 7095 the smallest integer that is 10060710 that is divisible by both numbers.

Least Common Multiple (LCM) of 7090 and 7095 is 10060710.

LCM(7090,7095) = 10060710

LCM of 7090 and 7095

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

LCM of:
and

Least Common Multiple of 7090 and 7095

LCM of 7090 and 7095 is 10060710

Least common multiple can be found by multiplying the highest exponent prime factors of 7090 and 7095. First we will calculate the prime factors of 7090 and 7095.

Prime Factorization of 7090


2 7090
5 3545
709 709
1

Prime factors of 7090 are 2, 5,709. Prime factorization of 7090 in exponential form is:

7090 = 21×51×7091

Prime Factorization of 7095


3 7095
5 2365
11 473
43 43
1

Prime factors of 7095 are 3, 5, 11,43. Prime factorization of 7095 in exponential form is:

7095 = 31×51×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 7090 and 7095.

LCM(7090,7095) = 21×31×51×111×431×7091
LCM(7090,7095) = 10060710

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1, 2, 5, 10, 709, 1418, 3545, 7090

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095

Least Common Multiple of 7090 and 7095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7090 and 7095, than apply into the LCM equation.

GCF(7090,7095) = 5
LCM(7090,7095) = ( 7090 × 7095) / 5
LCM(7090,7095) = 50303550 / 5
LCM(7090,7095) = 10060710

Properties of LCM 7090 and 7095

(i) The LCM of 7095 and 7090 is associative

LCM of 7090 and 7095 = LCM of 7095 and 7090

Related Least Common Multiples of 7090

Related Least Common Multiples of 7095

Frequently Asked Questions on LCM of 7090 and 7095

1. What is the LCM of 7090 and 7095?

Answer: LCM of 7090 and 7095 is 10060710.

2. What are the Factors of 7090?

Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.

3. What are the Factors of 7095?

Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.

4. How to Find the LCM of 7090 and 7095?

Answer:

Least Common Multiple of 7090 and 7095 = 10060710

Step 1: Find the prime factorization of 7090

7090 = 2 x 5 x 709

Step 2: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

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

LCM = 10060710 = 2 x 3 x 5 x 11 x 43 x 709

Step 4: Therefore, the least common multiple of 7090 and 7095 is 10060710.