Least Common Multiple of 6096 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 6096 and 6100 the smallest integer that is 9296400 that is divisible by both numbers.

Least Common Multiple (LCM) of 6096 and 6100 is 9296400.

LCM(6096,6100) = 9296400

LCM of 6096 and 6100

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

LCM of:
and

Least Common Multiple of 6096 and 6100

LCM of 6096 and 6100 is 9296400

Least common multiple can be found by multiplying the highest exponent prime factors of 6096 and 6100. First we will calculate the prime factors of 6096 and 6100.

Prime Factorization of 6096


2 6096
2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 6096 are 2, 3,127. Prime factorization of 6096 in exponential form is:

6096 = 24×31×1271

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 6096 and 6100.

LCM(6096,6100) = 24×31×52×611×1271
LCM(6096,6100) = 9296400

Factors of 6096

List of positive integer factors of 6096 that divides 6096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096

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 6096 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 6096 and 6100, than apply into the LCM equation.

GCF(6096,6100) = 4
LCM(6096,6100) = ( 6096 × 6100) / 4
LCM(6096,6100) = 37185600 / 4
LCM(6096,6100) = 9296400

Properties of LCM 6096 and 6100

(i) The LCM of 6100 and 6096 is associative

LCM of 6096 and 6100 = LCM of 6100 and 6096

Related Least Common Multiples of 6096

Related Least Common Multiples of 6100

Frequently Asked Questions on LCM of 6096 and 6100

1. What is the LCM of 6096 and 6100?

Answer: LCM of 6096 and 6100 is 9296400.

2. What are the Factors of 6096?

Answer: Factors of 6096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096. There are 20 integers that are factors of 6096. The greatest factor of 6096 is 6096.

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 6096 and 6100?

Answer:

Least Common Multiple of 6096 and 6100 = 9296400

Step 1: Find the prime factorization of 6096

6096 = 2 x 2 x 2 x 2 x 3 x 127

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 = 9296400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 61 x 127

Step 4: Therefore, the least common multiple of 6096 and 6100 is 9296400.