Least Common Multiple of 7094 and 7099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7094 and 7099 the smallest integer that is 50360306 that is divisible by both numbers.

Least Common Multiple (LCM) of 7094 and 7099 is 50360306.

LCM(7094,7099) = 50360306

LCM of 7094 and 7099

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

LCM of:
and

Least Common Multiple of 7094 and 7099

LCM of 7094 and 7099 is 50360306

Least common multiple can be found by multiplying the highest exponent prime factors of 7094 and 7099. First we will calculate the prime factors of 7094 and 7099.

Prime Factorization of 7094


2 7094
3547 3547
1

Prime factors of 7094 are 2,3547. Prime factorization of 7094 in exponential form is:

7094 = 21×35471

Prime Factorization of 7099


31 7099
229 229
1

Prime factors of 7099 are 31,229. Prime factorization of 7099 in exponential form is:

7099 = 311×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7094 and 7099.

LCM(7094,7099) = 21×311×2291×35471
LCM(7094,7099) = 50360306

Factors of 7094

List of positive integer factors of 7094 that divides 7094 without a remainder.

1, 2, 3547, 7094

Factors of 7099

List of positive integer factors of 7099 that divides 7099 without a remainder.

1, 31, 229, 7099

Least Common Multiple of 7094 and 7099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7094 and 7099, than apply into the LCM equation.

GCF(7094,7099) = 1
LCM(7094,7099) = ( 7094 × 7099) / 1
LCM(7094,7099) = 50360306 / 1
LCM(7094,7099) = 50360306

Properties of LCM 7094 and 7099

(i) The LCM of 7099 and 7094 is associative

LCM of 7094 and 7099 = LCM of 7099 and 7094

Related Least Common Multiples of 7094

Related Least Common Multiples of 7099

Frequently Asked Questions on LCM of 7094 and 7099

1. What is the LCM of 7094 and 7099?

Answer: LCM of 7094 and 7099 is 50360306.

2. What are the Factors of 7094?

Answer: Factors of 7094 are 1, 2, 3547, 7094. There are 4 integers that are factors of 7094. The greatest factor of 7094 is 7094.

3. What are the Factors of 7099?

Answer: Factors of 7099 are 1, 31, 229, 7099. There are 4 integers that are factors of 7099. The greatest factor of 7099 is 7099.

4. How to Find the LCM of 7094 and 7099?

Answer:

Least Common Multiple of 7094 and 7099 = 50360306

Step 1: Find the prime factorization of 7094

7094 = 2 x 3547

Step 2: Find the prime factorization of 7099

7099 = 31 x 229

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

LCM = 50360306 = 2 x 31 x 229 x 3547

Step 4: Therefore, the least common multiple of 7094 and 7099 is 50360306.