Least Common Multiple of 7094 and 7098

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 7098 the smallest integer that is 25176606 that is divisible by both numbers.

Least Common Multiple (LCM) of 7094 and 7098 is 25176606.

LCM(7094,7098) = 25176606

LCM of 7094 and 7098

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

LCM of:
and

Least Common Multiple of 7094 and 7098

LCM of 7094 and 7098 is 25176606

Least common multiple can be found by multiplying the highest exponent prime factors of 7094 and 7098. First we will calculate the prime factors of 7094 and 7098.

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 7098


2 7098
3 3549
7 1183
13 169
13 13
1

Prime factors of 7098 are 2, 3, 7,13. Prime factorization of 7098 in exponential form is:

7098 = 21×31×71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 7094 and 7098.

LCM(7094,7098) = 21×31×71×132×35471
LCM(7094,7098) = 25176606

Factors of 7094

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

1, 2, 3547, 7094

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098

Least Common Multiple of 7094 and 7098 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 7098, than apply into the LCM equation.

GCF(7094,7098) = 2
LCM(7094,7098) = ( 7094 × 7098) / 2
LCM(7094,7098) = 50353212 / 2
LCM(7094,7098) = 25176606

Properties of LCM 7094 and 7098

(i) The LCM of 7098 and 7094 is associative

LCM of 7094 and 7098 = LCM of 7098 and 7094

Related Least Common Multiples of 7094

Related Least Common Multiples of 7098

Frequently Asked Questions on LCM of 7094 and 7098

1. What is the LCM of 7094 and 7098?

Answer: LCM of 7094 and 7098 is 25176606.

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 7098?

Answer: Factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098. There are 24 integers that are factors of 7098. The greatest factor of 7098 is 7098.

4. How to Find the LCM of 7094 and 7098?

Answer:

Least Common Multiple of 7094 and 7098 = 25176606

Step 1: Find the prime factorization of 7094

7094 = 2 x 3547

Step 2: Find the prime factorization of 7098

7098 = 2 x 3 x 7 x 13 x 13

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

LCM = 25176606 = 2 x 3 x 7 x 13 x 13 x 3547

Step 4: Therefore, the least common multiple of 7094 and 7098 is 25176606.