Least Common Multiple of 6048 and 6054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6048 and 6054 the smallest integer that is 6102432 that is divisible by both numbers.

Least Common Multiple (LCM) of 6048 and 6054 is 6102432.

LCM(6048,6054) = 6102432

LCM of 6048 and 6054

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

LCM of:
and

Least Common Multiple of 6048 and 6054

LCM of 6048 and 6054 is 6102432

Least common multiple can be found by multiplying the highest exponent prime factors of 6048 and 6054. First we will calculate the prime factors of 6048 and 6054.

Prime Factorization of 6048


2 6048
2 3024
2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 6048 are 2, 3,7. Prime factorization of 6048 in exponential form is:

6048 = 25×33×71

Prime Factorization of 6054


2 6054
3 3027
1009 1009
1

Prime factors of 6054 are 2, 3,1009. Prime factorization of 6054 in exponential form is:

6054 = 21×31×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 6048 and 6054.

LCM(6048,6054) = 25×33×71×10091
LCM(6048,6054) = 6102432

Factors of 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048

Factors of 6054

List of positive integer factors of 6054 that divides 6054 without a remainder.

1, 2, 3, 6, 1009, 2018, 3027, 6054

Least Common Multiple of 6048 and 6054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6048 and 6054, than apply into the LCM equation.

GCF(6048,6054) = 6
LCM(6048,6054) = ( 6048 × 6054) / 6
LCM(6048,6054) = 36614592 / 6
LCM(6048,6054) = 6102432

Properties of LCM 6048 and 6054

(i) The LCM of 6054 and 6048 is associative

LCM of 6048 and 6054 = LCM of 6054 and 6048

Related Least Common Multiples of 6048

Related Least Common Multiples of 6054

Frequently Asked Questions on LCM of 6048 and 6054

1. What is the LCM of 6048 and 6054?

Answer: LCM of 6048 and 6054 is 6102432.

2. What are the Factors of 6048?

Answer: Factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048. There are 48 integers that are factors of 6048. The greatest factor of 6048 is 6048.

3. What are the Factors of 6054?

Answer: Factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054. There are 8 integers that are factors of 6054. The greatest factor of 6054 is 6054.

4. How to Find the LCM of 6048 and 6054?

Answer:

Least Common Multiple of 6048 and 6054 = 6102432

Step 1: Find the prime factorization of 6048

6048 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

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

LCM = 6102432 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 1009

Step 4: Therefore, the least common multiple of 6048 and 6054 is 6102432.