Least Common Multiple of 8054 and 8060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8054 and 8060 the smallest integer that is 32457620 that is divisible by both numbers.

Least Common Multiple (LCM) of 8054 and 8060 is 32457620.

LCM(8054,8060) = 32457620

LCM of 8054 and 8060

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

LCM of:
and

Least Common Multiple of 8054 and 8060

LCM of 8054 and 8060 is 32457620

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8060. First we will calculate the prime factors of 8054 and 8060.

Prime Factorization of 8054


2 8054
4027 4027
1

Prime factors of 8054 are 2,4027. Prime factorization of 8054 in exponential form is:

8054 = 21×40271

Prime Factorization of 8060


2 8060
2 4030
5 2015
13 403
31 31
1

Prime factors of 8060 are 2, 5, 13,31. Prime factorization of 8060 in exponential form is:

8060 = 22×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8060.

LCM(8054,8060) = 22×51×131×311×40271
LCM(8054,8060) = 32457620

Factors of 8054

List of positive integer factors of 8054 that divides 8054 without a remainder.

1, 2, 4027, 8054

Factors of 8060

List of positive integer factors of 8060 that divides 8060 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060

Least Common Multiple of 8054 and 8060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8054 and 8060, than apply into the LCM equation.

GCF(8054,8060) = 2
LCM(8054,8060) = ( 8054 × 8060) / 2
LCM(8054,8060) = 64915240 / 2
LCM(8054,8060) = 32457620

Properties of LCM 8054 and 8060

(i) The LCM of 8060 and 8054 is associative

LCM of 8054 and 8060 = LCM of 8060 and 8054

Related Least Common Multiples of 8054

Related Least Common Multiples of 8060

Frequently Asked Questions on LCM of 8054 and 8060

1. What is the LCM of 8054 and 8060?

Answer: LCM of 8054 and 8060 is 32457620.

2. What are the Factors of 8054?

Answer: Factors of 8054 are 1, 2, 4027, 8054. There are 4 integers that are factors of 8054. The greatest factor of 8054 is 8054.

3. What are the Factors of 8060?

Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.

4. How to Find the LCM of 8054 and 8060?

Answer:

Least Common Multiple of 8054 and 8060 = 32457620

Step 1: Find the prime factorization of 8054

8054 = 2 x 4027

Step 2: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

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

LCM = 32457620 = 2 x 2 x 5 x 13 x 31 x 4027

Step 4: Therefore, the least common multiple of 8054 and 8060 is 32457620.