Least Common Multiple of 6090 and 6096

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6090 and 6096 the smallest integer that is 6187440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6090 and 6096 is 6187440.

LCM(6090,6096) = 6187440

LCM of 6090 and 6096

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

LCM of:
and

Least Common Multiple of 6090 and 6096

LCM of 6090 and 6096 is 6187440

Least common multiple can be found by multiplying the highest exponent prime factors of 6090 and 6096. First we will calculate the prime factors of 6090 and 6096.

Prime Factorization of 6090


2 6090
3 3045
5 1015
7 203
29 29
1

Prime factors of 6090 are 2, 3, 5, 7,29. Prime factorization of 6090 in exponential form is:

6090 = 21×31×51×71×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6090 and 6096.

LCM(6090,6096) = 24×31×51×71×291×1271
LCM(6090,6096) = 6187440

Factors of 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090

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

Least Common Multiple of 6090 and 6096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6090 and 6096, than apply into the LCM equation.

GCF(6090,6096) = 6
LCM(6090,6096) = ( 6090 × 6096) / 6
LCM(6090,6096) = 37124640 / 6
LCM(6090,6096) = 6187440

Properties of LCM 6090 and 6096

(i) The LCM of 6096 and 6090 is associative

LCM of 6090 and 6096 = LCM of 6096 and 6090

Related Least Common Multiples of 6090

Related Least Common Multiples of 6096

Frequently Asked Questions on LCM of 6090 and 6096

1. What is the LCM of 6090 and 6096?

Answer: LCM of 6090 and 6096 is 6187440.

2. What are the Factors of 6090?

Answer: Factors of 6090 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045, 6090. There are 32 integers that are factors of 6090. The greatest factor of 6090 is 6090.

3. 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.

4. How to Find the LCM of 6090 and 6096?

Answer:

Least Common Multiple of 6090 and 6096 = 6187440

Step 1: Find the prime factorization of 6090

6090 = 2 x 3 x 5 x 7 x 29

Step 2: Find the prime factorization of 6096

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

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

LCM = 6187440 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 29 x 127

Step 4: Therefore, the least common multiple of 6090 and 6096 is 6187440.