Least Common Multiple of 4093 and 4094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4093 and 4094 the smallest integer that is 16756742 that is divisible by both numbers.

Least Common Multiple (LCM) of 4093 and 4094 is 16756742.

LCM(4093,4094) = 16756742

LCM of 4093 and 4094

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

LCM of:
and

Least Common Multiple of 4093 and 4094

LCM of 4093 and 4094 is 16756742

Least common multiple can be found by multiplying the highest exponent prime factors of 4093 and 4094. First we will calculate the prime factors of 4093 and 4094.

Prime Factorization of 4093


4093 4093
1

Prime factors of 4093 are 4093. Prime factorization of 4093 in exponential form is:

4093 = 40931

Prime Factorization of 4094


2 4094
23 2047
89 89
1

Prime factors of 4094 are 2, 23,89. Prime factorization of 4094 in exponential form is:

4094 = 21×231×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4093 and 4094.

LCM(4093,4094) = 21×231×891×40931
LCM(4093,4094) = 16756742

Factors of 4093

List of positive integer factors of 4093 that divides 4093 without a remainder.

1, 4093

Factors of 4094

List of positive integer factors of 4094 that divides 4094 without a remainder.

1, 2, 23, 46, 89, 178, 2047, 4094

Least Common Multiple of 4093 and 4094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4093 and 4094, than apply into the LCM equation.

GCF(4093,4094) = 1
LCM(4093,4094) = ( 4093 × 4094) / 1
LCM(4093,4094) = 16756742 / 1
LCM(4093,4094) = 16756742

Properties of LCM 4093 and 4094

(i) The LCM of 4094 and 4093 is associative

LCM of 4093 and 4094 = LCM of 4094 and 4093

Related Least Common Multiples of 4093

Related Least Common Multiples of 4094

Frequently Asked Questions on LCM of 4093 and 4094

1. What is the LCM of 4093 and 4094?

Answer: LCM of 4093 and 4094 is 16756742.

2. What are the Factors of 4093?

Answer: Factors of 4093 are 1, 4093. There are 2 integers that are factors of 4093. The greatest factor of 4093 is 4093.

3. What are the Factors of 4094?

Answer: Factors of 4094 are 1, 2, 23, 46, 89, 178, 2047, 4094. There are 8 integers that are factors of 4094. The greatest factor of 4094 is 4094.

4. How to Find the LCM of 4093 and 4094?

Answer:

Least Common Multiple of 4093 and 4094 = 16756742

Step 1: Find the prime factorization of 4093

4093 = 4093

Step 2: Find the prime factorization of 4094

4094 = 2 x 23 x 89

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

LCM = 16756742 = 2 x 23 x 89 x 4093

Step 4: Therefore, the least common multiple of 4093 and 4094 is 16756742.