Least Common Multiple of 8054 and 8055

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 8055 the smallest integer that is 64874970 that is divisible by both numbers.

Least Common Multiple (LCM) of 8054 and 8055 is 64874970.

LCM(8054,8055) = 64874970

LCM of 8054 and 8055

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

LCM of:
and

Least Common Multiple of 8054 and 8055

LCM of 8054 and 8055 is 64874970

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8055. First we will calculate the prime factors of 8054 and 8055.

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 8055


3 8055
3 2685
5 895
179 179
1

Prime factors of 8055 are 3, 5,179. Prime factorization of 8055 in exponential form is:

8055 = 32×51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8055.

LCM(8054,8055) = 21×32×51×1791×40271
LCM(8054,8055) = 64874970

Factors of 8054

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

1, 2, 4027, 8054

Factors of 8055

List of positive integer factors of 8055 that divides 8055 without a remainder.

1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055

Least Common Multiple of 8054 and 8055 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 8055, than apply into the LCM equation.

GCF(8054,8055) = 1
LCM(8054,8055) = ( 8054 × 8055) / 1
LCM(8054,8055) = 64874970 / 1
LCM(8054,8055) = 64874970

Properties of LCM 8054 and 8055

(i) The LCM of 8055 and 8054 is associative

LCM of 8054 and 8055 = LCM of 8055 and 8054

Related Least Common Multiples of 8054

Related Least Common Multiples of 8055

Frequently Asked Questions on LCM of 8054 and 8055

1. What is the LCM of 8054 and 8055?

Answer: LCM of 8054 and 8055 is 64874970.

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 8055?

Answer: Factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055. There are 12 integers that are factors of 8055. The greatest factor of 8055 is 8055.

4. How to Find the LCM of 8054 and 8055?

Answer:

Least Common Multiple of 8054 and 8055 = 64874970

Step 1: Find the prime factorization of 8054

8054 = 2 x 4027

Step 2: Find the prime factorization of 8055

8055 = 3 x 3 x 5 x 179

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

LCM = 64874970 = 2 x 3 x 3 x 5 x 179 x 4027

Step 4: Therefore, the least common multiple of 8054 and 8055 is 64874970.