Least Common Multiple of 6046 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 6046 and 6054 the smallest integer that is 18301242 that is divisible by both numbers.

Least Common Multiple (LCM) of 6046 and 6054 is 18301242.

LCM(6046,6054) = 18301242

LCM of 6046 and 6054

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

LCM of:
and

Least Common Multiple of 6046 and 6054

LCM of 6046 and 6054 is 18301242

Least common multiple can be found by multiplying the highest exponent prime factors of 6046 and 6054. First we will calculate the prime factors of 6046 and 6054.

Prime Factorization of 6046


2 6046
3023 3023
1

Prime factors of 6046 are 2,3023. Prime factorization of 6046 in exponential form is:

6046 = 21×30231

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 6046 and 6054.

LCM(6046,6054) = 21×31×10091×30231
LCM(6046,6054) = 18301242

Factors of 6046

List of positive integer factors of 6046 that divides 6046 without a remainder.

1, 2, 3023, 6046

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 6046 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 6046 and 6054, than apply into the LCM equation.

GCF(6046,6054) = 2
LCM(6046,6054) = ( 6046 × 6054) / 2
LCM(6046,6054) = 36602484 / 2
LCM(6046,6054) = 18301242

Properties of LCM 6046 and 6054

(i) The LCM of 6054 and 6046 is associative

LCM of 6046 and 6054 = LCM of 6054 and 6046

Related Least Common Multiples of 6046

Related Least Common Multiples of 6054

Frequently Asked Questions on LCM of 6046 and 6054

1. What is the LCM of 6046 and 6054?

Answer: LCM of 6046 and 6054 is 18301242.

2. What are the Factors of 6046?

Answer: Factors of 6046 are 1, 2, 3023, 6046. There are 4 integers that are factors of 6046. The greatest factor of 6046 is 6046.

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 6046 and 6054?

Answer:

Least Common Multiple of 6046 and 6054 = 18301242

Step 1: Find the prime factorization of 6046

6046 = 2 x 3023

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 = 18301242 = 2 x 3 x 1009 x 3023

Step 4: Therefore, the least common multiple of 6046 and 6054 is 18301242.