Least Common Multiple of 7090 and 7097

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 7097 the smallest integer that is 50317730 that is divisible by both numbers.

Least Common Multiple (LCM) of 7090 and 7097 is 50317730.

LCM(7090,7097) = 50317730

LCM of 7090 and 7097

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

LCM of:
and

Least Common Multiple of 7090 and 7097

LCM of 7090 and 7097 is 50317730

Least common multiple can be found by multiplying the highest exponent prime factors of 7090 and 7097. First we will calculate the prime factors of 7090 and 7097.

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 7097


47 7097
151 151
1

Prime factors of 7097 are 47,151. Prime factorization of 7097 in exponential form is:

7097 = 471×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7090 and 7097.

LCM(7090,7097) = 21×51×471×1511×7091
LCM(7090,7097) = 50317730

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 7097

List of positive integer factors of 7097 that divides 7097 without a remainder.

1, 47, 151, 7097

Least Common Multiple of 7090 and 7097 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 7097, than apply into the LCM equation.

GCF(7090,7097) = 1
LCM(7090,7097) = ( 7090 × 7097) / 1
LCM(7090,7097) = 50317730 / 1
LCM(7090,7097) = 50317730

Properties of LCM 7090 and 7097

(i) The LCM of 7097 and 7090 is associative

LCM of 7090 and 7097 = LCM of 7097 and 7090

Related Least Common Multiples of 7090

Related Least Common Multiples of 7097

Frequently Asked Questions on LCM of 7090 and 7097

1. What is the LCM of 7090 and 7097?

Answer: LCM of 7090 and 7097 is 50317730.

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 7097?

Answer: Factors of 7097 are 1, 47, 151, 7097. There are 4 integers that are factors of 7097. The greatest factor of 7097 is 7097.

4. How to Find the LCM of 7090 and 7097?

Answer:

Least Common Multiple of 7090 and 7097 = 50317730

Step 1: Find the prime factorization of 7090

7090 = 2 x 5 x 709

Step 2: Find the prime factorization of 7097

7097 = 47 x 151

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

LCM = 50317730 = 2 x 5 x 47 x 151 x 709

Step 4: Therefore, the least common multiple of 7090 and 7097 is 50317730.