Least Common Multiple of 6054 and 6061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6054 and 6061 the smallest integer that is 36693294 that is divisible by both numbers.

Least Common Multiple (LCM) of 6054 and 6061 is 36693294.

LCM(6054,6061) = 36693294

LCM of 6054 and 6061

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

LCM of:
and

Least Common Multiple of 6054 and 6061

LCM of 6054 and 6061 is 36693294

Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6061. First we will calculate the prime factors of 6054 and 6061.

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

Prime Factorization of 6061


11 6061
19 551
29 29
1

Prime factors of 6061 are 11, 19,29. Prime factorization of 6061 in exponential form is:

6061 = 111×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6061.

LCM(6054,6061) = 21×31×111×191×291×10091
LCM(6054,6061) = 36693294

Factors of 6054

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

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

Factors of 6061

List of positive integer factors of 6061 that divides 6061 without a remainder.

1, 11, 19, 29, 209, 319, 551, 6061

Least Common Multiple of 6054 and 6061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6054 and 6061, than apply into the LCM equation.

GCF(6054,6061) = 1
LCM(6054,6061) = ( 6054 × 6061) / 1
LCM(6054,6061) = 36693294 / 1
LCM(6054,6061) = 36693294

Properties of LCM 6054 and 6061

(i) The LCM of 6061 and 6054 is associative

LCM of 6054 and 6061 = LCM of 6061 and 6054

Related Least Common Multiples of 6054

Related Least Common Multiples of 6061

Frequently Asked Questions on LCM of 6054 and 6061

1. What is the LCM of 6054 and 6061?

Answer: LCM of 6054 and 6061 is 36693294.

2. 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.

3. What are the Factors of 6061?

Answer: Factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061. There are 8 integers that are factors of 6061. The greatest factor of 6061 is 6061.

4. How to Find the LCM of 6054 and 6061?

Answer:

Least Common Multiple of 6054 and 6061 = 36693294

Step 1: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

Step 2: Find the prime factorization of 6061

6061 = 11 x 19 x 29

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

LCM = 36693294 = 2 x 3 x 11 x 19 x 29 x 1009

Step 4: Therefore, the least common multiple of 6054 and 6061 is 36693294.