Least Common Multiple of 7090 and 7096

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 7096 the smallest integer that is 25155320 that is divisible by both numbers.

Least Common Multiple (LCM) of 7090 and 7096 is 25155320.

LCM(7090,7096) = 25155320

LCM of 7090 and 7096

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

LCM of:
and

Least Common Multiple of 7090 and 7096

LCM of 7090 and 7096 is 25155320

Least common multiple can be found by multiplying the highest exponent prime factors of 7090 and 7096. First we will calculate the prime factors of 7090 and 7096.

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 7096


2 7096
2 3548
2 1774
887 887
1

Prime factors of 7096 are 2,887. Prime factorization of 7096 in exponential form is:

7096 = 23×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 7090 and 7096.

LCM(7090,7096) = 23×51×7091×8871
LCM(7090,7096) = 25155320

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 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1, 2, 4, 8, 887, 1774, 3548, 7096

Least Common Multiple of 7090 and 7096 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 7096, than apply into the LCM equation.

GCF(7090,7096) = 2
LCM(7090,7096) = ( 7090 × 7096) / 2
LCM(7090,7096) = 50310640 / 2
LCM(7090,7096) = 25155320

Properties of LCM 7090 and 7096

(i) The LCM of 7096 and 7090 is associative

LCM of 7090 and 7096 = LCM of 7096 and 7090

Related Least Common Multiples of 7090

Related Least Common Multiples of 7096

Frequently Asked Questions on LCM of 7090 and 7096

1. What is the LCM of 7090 and 7096?

Answer: LCM of 7090 and 7096 is 25155320.

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 7096?

Answer: Factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096. There are 8 integers that are factors of 7096. The greatest factor of 7096 is 7096.

4. How to Find the LCM of 7090 and 7096?

Answer:

Least Common Multiple of 7090 and 7096 = 25155320

Step 1: Find the prime factorization of 7090

7090 = 2 x 5 x 709

Step 2: Find the prime factorization of 7096

7096 = 2 x 2 x 2 x 887

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

LCM = 25155320 = 2 x 2 x 2 x 5 x 709 x 887

Step 4: Therefore, the least common multiple of 7090 and 7096 is 25155320.