Least Common Multiple of 6092 and 6100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6092 and 6100 the smallest integer that is 9290300 that is divisible by both numbers.

Least Common Multiple (LCM) of 6092 and 6100 is 9290300.

LCM(6092,6100) = 9290300

LCM of 6092 and 6100

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

LCM of:
and

Least Common Multiple of 6092 and 6100

LCM of 6092 and 6100 is 9290300

Least common multiple can be found by multiplying the highest exponent prime factors of 6092 and 6100. First we will calculate the prime factors of 6092 and 6100.

Prime Factorization of 6092


2 6092
2 3046
1523 1523
1

Prime factors of 6092 are 2,1523. Prime factorization of 6092 in exponential form is:

6092 = 22×15231

Prime Factorization of 6100


2 6100
2 3050
5 1525
5 305
61 61
1

Prime factors of 6100 are 2, 5,61. Prime factorization of 6100 in exponential form is:

6100 = 22×52×611

Now multiplying the highest exponent prime factors to calculate the LCM of 6092 and 6100.

LCM(6092,6100) = 22×52×611×15231
LCM(6092,6100) = 9290300

Factors of 6092

List of positive integer factors of 6092 that divides 6092 without a remainder.

1, 2, 4, 1523, 3046, 6092

Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100

Least Common Multiple of 6092 and 6100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6092 and 6100, than apply into the LCM equation.

GCF(6092,6100) = 4
LCM(6092,6100) = ( 6092 × 6100) / 4
LCM(6092,6100) = 37161200 / 4
LCM(6092,6100) = 9290300

Properties of LCM 6092 and 6100

(i) The LCM of 6100 and 6092 is associative

LCM of 6092 and 6100 = LCM of 6100 and 6092

Related Least Common Multiples of 6092

Related Least Common Multiples of 6100

Frequently Asked Questions on LCM of 6092 and 6100

1. What is the LCM of 6092 and 6100?

Answer: LCM of 6092 and 6100 is 9290300.

2. What are the Factors of 6092?

Answer: Factors of 6092 are 1, 2, 4, 1523, 3046, 6092. There are 6 integers that are factors of 6092. The greatest factor of 6092 is 6092.

3. What are the Factors of 6100?

Answer: Factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100. There are 18 integers that are factors of 6100. The greatest factor of 6100 is 6100.

4. How to Find the LCM of 6092 and 6100?

Answer:

Least Common Multiple of 6092 and 6100 = 9290300

Step 1: Find the prime factorization of 6092

6092 = 2 x 2 x 1523

Step 2: Find the prime factorization of 6100

6100 = 2 x 2 x 5 x 5 x 61

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

LCM = 9290300 = 2 x 2 x 5 x 5 x 61 x 1523

Step 4: Therefore, the least common multiple of 6092 and 6100 is 9290300.