Least Common Multiple of 5091 and 5092

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 5092 the smallest integer that is 25923372 that is divisible by both numbers.

Least Common Multiple (LCM) of 5091 and 5092 is 25923372.

LCM(5091,5092) = 25923372

LCM of 5091 and 5092

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

LCM of:
and

Least Common Multiple of 5091 and 5092

LCM of 5091 and 5092 is 25923372

Least common multiple can be found by multiplying the highest exponent prime factors of 5091 and 5092. First we will calculate the prime factors of 5091 and 5092.

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 5092


2 5092
2 2546
19 1273
67 67
1

Prime factors of 5092 are 2, 19,67. Prime factorization of 5092 in exponential form is:

5092 = 22×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5091 and 5092.

LCM(5091,5092) = 22×31×191×671×16971
LCM(5091,5092) = 25923372

Factors of 5091

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

1, 3, 1697, 5091

Factors of 5092

List of positive integer factors of 5092 that divides 5092 without a remainder.

1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092

Least Common Multiple of 5091 and 5092 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 5092, than apply into the LCM equation.

GCF(5091,5092) = 1
LCM(5091,5092) = ( 5091 × 5092) / 1
LCM(5091,5092) = 25923372 / 1
LCM(5091,5092) = 25923372

Properties of LCM 5091 and 5092

(i) The LCM of 5092 and 5091 is associative

LCM of 5091 and 5092 = LCM of 5092 and 5091

Related Least Common Multiples of 5091

Related Least Common Multiples of 5092

Frequently Asked Questions on LCM of 5091 and 5092

1. What is the LCM of 5091 and 5092?

Answer: LCM of 5091 and 5092 is 25923372.

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 5092?

Answer: Factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092. There are 12 integers that are factors of 5092. The greatest factor of 5092 is 5092.

4. How to Find the LCM of 5091 and 5092?

Answer:

Least Common Multiple of 5091 and 5092 = 25923372

Step 1: Find the prime factorization of 5091

5091 = 3 x 1697

Step 2: Find the prime factorization of 5092

5092 = 2 x 2 x 19 x 67

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

LCM = 25923372 = 2 x 2 x 3 x 19 x 67 x 1697

Step 4: Therefore, the least common multiple of 5091 and 5092 is 25923372.