Least Common Multiple of 5091 and 5094

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5091 and 5094 the smallest integer that is 8644518 that is divisible by both numbers.

Least Common Multiple (LCM) of 5091 and 5094 is 8644518.

LCM(5091,5094) = 8644518

LCM of 5091 and 5094

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

LCM of:
and

Least Common Multiple of 5091 and 5094

LCM of 5091 and 5094 is 8644518

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5094. First we will calculate the prime factors of 5091 and 5094.

Prime Factorization of 5091


3 5091
1697 1697
1

Prime factors of 5091 are 3,1697. Prime factorization of 5091 in exponential form is:

5091 = 31×16971

Prime Factorization of 5094


2 5094
3 2547
3 849
283 283
1

Prime factors of 5094 are 2, 3,283. Prime factorization of 5094 in exponential form is:

5094 = 21×32×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5091 and 5094.

LCM(5091,5094) = 21×32×2831×16971
LCM(5091,5094) = 8644518

Factors of 5091

List of positive integer factors of 5091 that divides 5091 without a remainder.

1, 3, 1697, 5091

Factors of 5094

List of positive integer factors of 5094 that divides 5094 without a remainder.

1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094

Least Common Multiple of 5091 and 5094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5091 and 5094, than apply into the LCM equation.

GCF(5091,5094) = 3
LCM(5091,5094) = ( 5091 × 5094) / 3
LCM(5091,5094) = 25933554 / 3
LCM(5091,5094) = 8644518

Properties of LCM 5091 and 5094

(i) The LCM of 5094 and 5091 is associative

LCM of 5091 and 5094 = LCM of 5094 and 5091

Related Least Common Multiples of 5091

Related Least Common Multiples of 5094

Frequently Asked Questions on LCM of 5091 and 5094

1. What is the LCM of 5091 and 5094?

Answer: LCM of 5091 and 5094 is 8644518.

2. What are the Factors of 5091?

Answer: Factors of 5091 are 1, 3, 1697, 5091. There are 4 integers that are factors of 5091. The greatest factor of 5091 is 5091.

3. What are the Factors of 5094?

Answer: Factors of 5094 are 1, 2, 3, 6, 9, 18, 283, 566, 849, 1698, 2547, 5094. There are 12 integers that are factors of 5094. The greatest factor of 5094 is 5094.

4. How to Find the LCM of 5091 and 5094?

Answer:

Least Common Multiple of 5091 and 5094 = 8644518

Step 1: Find the prime factorization of 5091

5091 = 3 x 1697

Step 2: Find the prime factorization of 5094

5094 = 2 x 3 x 3 x 283

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

LCM = 8644518 = 2 x 3 x 3 x 283 x 1697

Step 4: Therefore, the least common multiple of 5091 and 5094 is 8644518.