Least Common Multiple of 5092 and 5100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5092 and 5100 the smallest integer that is 6492300 that is divisible by both numbers.

Least Common Multiple (LCM) of 5092 and 5100 is 6492300.

LCM(5092,5100) = 6492300

LCM of 5092 and 5100

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

LCM of:
and

Least Common Multiple of 5092 and 5100

LCM of 5092 and 5100 is 6492300

Least common multiple can be found by multiplying the highest exponent prime factors of 5092 and 5100. First we will calculate the prime factors of 5092 and 5100.

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

Prime Factorization of 5100


2 5100
2 2550
3 1275
5 425
5 85
17 17
1

Prime factors of 5100 are 2, 3, 5,17. Prime factorization of 5100 in exponential form is:

5100 = 22×31×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5092 and 5100.

LCM(5092,5100) = 22×31×52×171×191×671
LCM(5092,5100) = 6492300

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

Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100

Least Common Multiple of 5092 and 5100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5092 and 5100, than apply into the LCM equation.

GCF(5092,5100) = 4
LCM(5092,5100) = ( 5092 × 5100) / 4
LCM(5092,5100) = 25969200 / 4
LCM(5092,5100) = 6492300

Properties of LCM 5092 and 5100

(i) The LCM of 5100 and 5092 is associative

LCM of 5092 and 5100 = LCM of 5100 and 5092

Related Least Common Multiples of 5092

Related Least Common Multiples of 5100

Frequently Asked Questions on LCM of 5092 and 5100

1. What is the LCM of 5092 and 5100?

Answer: LCM of 5092 and 5100 is 6492300.

2. 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.

3. What are the Factors of 5100?

Answer: Factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100. There are 36 integers that are factors of 5100. The greatest factor of 5100 is 5100.

4. How to Find the LCM of 5092 and 5100?

Answer:

Least Common Multiple of 5092 and 5100 = 6492300

Step 1: Find the prime factorization of 5092

5092 = 2 x 2 x 19 x 67

Step 2: Find the prime factorization of 5100

5100 = 2 x 2 x 3 x 5 x 5 x 17

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

LCM = 6492300 = 2 x 2 x 3 x 5 x 5 x 17 x 19 x 67

Step 4: Therefore, the least common multiple of 5092 and 5100 is 6492300.