Least Common Multiple of 6054 and 6062

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 6062 the smallest integer that is 18349674 that is divisible by both numbers.

Least Common Multiple (LCM) of 6054 and 6062 is 18349674.

LCM(6054,6062) = 18349674

LCM of 6054 and 6062

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

LCM of:
and

Least Common Multiple of 6054 and 6062

LCM of 6054 and 6062 is 18349674

Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6062. First we will calculate the prime factors of 6054 and 6062.

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 6062


2 6062
7 3031
433 433
1

Prime factors of 6062 are 2, 7,433. Prime factorization of 6062 in exponential form is:

6062 = 21×71×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6062.

LCM(6054,6062) = 21×31×71×4331×10091
LCM(6054,6062) = 18349674

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 6062

List of positive integer factors of 6062 that divides 6062 without a remainder.

1, 2, 7, 14, 433, 866, 3031, 6062

Least Common Multiple of 6054 and 6062 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 6062, than apply into the LCM equation.

GCF(6054,6062) = 2
LCM(6054,6062) = ( 6054 × 6062) / 2
LCM(6054,6062) = 36699348 / 2
LCM(6054,6062) = 18349674

Properties of LCM 6054 and 6062

(i) The LCM of 6062 and 6054 is associative

LCM of 6054 and 6062 = LCM of 6062 and 6054

Related Least Common Multiples of 6054

Related Least Common Multiples of 6062

Frequently Asked Questions on LCM of 6054 and 6062

1. What is the LCM of 6054 and 6062?

Answer: LCM of 6054 and 6062 is 18349674.

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 6062?

Answer: Factors of 6062 are 1, 2, 7, 14, 433, 866, 3031, 6062. There are 8 integers that are factors of 6062. The greatest factor of 6062 is 6062.

4. How to Find the LCM of 6054 and 6062?

Answer:

Least Common Multiple of 6054 and 6062 = 18349674

Step 1: Find the prime factorization of 6054

6054 = 2 x 3 x 1009

Step 2: Find the prime factorization of 6062

6062 = 2 x 7 x 433

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

LCM = 18349674 = 2 x 3 x 7 x 433 x 1009

Step 4: Therefore, the least common multiple of 6054 and 6062 is 18349674.