Least Common Multiple of 6054 and 6060

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 6060 the smallest integer that is 6114540 that is divisible by both numbers.

Least Common Multiple (LCM) of 6054 and 6060 is 6114540.

LCM(6054,6060) = 6114540

LCM of 6054 and 6060

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

LCM of:
and

Least Common Multiple of 6054 and 6060

LCM of 6054 and 6060 is 6114540

Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6060. First we will calculate the prime factors of 6054 and 6060.

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 6060


2 6060
2 3030
3 1515
5 505
101 101
1

Prime factors of 6060 are 2, 3, 5,101. Prime factorization of 6060 in exponential form is:

6060 = 22×31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6060.

LCM(6054,6060) = 22×31×51×1011×10091
LCM(6054,6060) = 6114540

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 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060

Least Common Multiple of 6054 and 6060 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 6060, than apply into the LCM equation.

GCF(6054,6060) = 6
LCM(6054,6060) = ( 6054 × 6060) / 6
LCM(6054,6060) = 36687240 / 6
LCM(6054,6060) = 6114540

Properties of LCM 6054 and 6060

(i) The LCM of 6060 and 6054 is associative

LCM of 6054 and 6060 = LCM of 6060 and 6054

Related Least Common Multiples of 6054

Related Least Common Multiples of 6060

Frequently Asked Questions on LCM of 6054 and 6060

1. What is the LCM of 6054 and 6060?

Answer: LCM of 6054 and 6060 is 6114540.

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 6060?

Answer: Factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060. There are 24 integers that are factors of 6060. The greatest factor of 6060 is 6060.

4. How to Find the LCM of 6054 and 6060?

Answer:

Least Common Multiple of 6054 and 6060 = 6114540

Step 1: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

Step 2: Find the prime factorization of 6060

6060 = 2 x 2 x 3 x 5 x 101

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

LCM = 6114540 = 2 x 2 x 3 x 5 x 101 x 1009

Step 4: Therefore, the least common multiple of 6054 and 6060 is 6114540.