Least Common Multiple of 8054 and 8058

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 8058 the smallest integer that is 32449566 that is divisible by both numbers.

Least Common Multiple (LCM) of 8054 and 8058 is 32449566.

LCM(8054,8058) = 32449566

LCM of 8054 and 8058

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

LCM of:
and

Least Common Multiple of 8054 and 8058

LCM of 8054 and 8058 is 32449566

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8058. First we will calculate the prime factors of 8054 and 8058.

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 8058


2 8058
3 4029
17 1343
79 79
1

Prime factors of 8058 are 2, 3, 17,79. Prime factorization of 8058 in exponential form is:

8058 = 21×31×171×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8058.

LCM(8054,8058) = 21×31×171×791×40271
LCM(8054,8058) = 32449566

Factors of 8054

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

1, 2, 4027, 8054

Factors of 8058

List of positive integer factors of 8058 that divides 8058 without a remainder.

1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058

Least Common Multiple of 8054 and 8058 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 8058, than apply into the LCM equation.

GCF(8054,8058) = 2
LCM(8054,8058) = ( 8054 × 8058) / 2
LCM(8054,8058) = 64899132 / 2
LCM(8054,8058) = 32449566

Properties of LCM 8054 and 8058

(i) The LCM of 8058 and 8054 is associative

LCM of 8054 and 8058 = LCM of 8058 and 8054

Related Least Common Multiples of 8054

Related Least Common Multiples of 8058

Frequently Asked Questions on LCM of 8054 and 8058

1. What is the LCM of 8054 and 8058?

Answer: LCM of 8054 and 8058 is 32449566.

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 8058?

Answer: Factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058. There are 16 integers that are factors of 8058. The greatest factor of 8058 is 8058.

4. How to Find the LCM of 8054 and 8058?

Answer:

Least Common Multiple of 8054 and 8058 = 32449566

Step 1: Find the prime factorization of 8054

8054 = 2 x 4027

Step 2: Find the prime factorization of 8058

8058 = 2 x 3 x 17 x 79

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

LCM = 32449566 = 2 x 3 x 17 x 79 x 4027

Step 4: Therefore, the least common multiple of 8054 and 8058 is 32449566.