Least Common Multiple of 4054 and 4055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4054 and 4055 the smallest integer that is 16438970 that is divisible by both numbers.

Least Common Multiple (LCM) of 4054 and 4055 is 16438970.

LCM(4054,4055) = 16438970

LCM of 4054 and 4055

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

LCM of:
and

Least Common Multiple of 4054 and 4055

LCM of 4054 and 4055 is 16438970

Least common multiple can be found by multiplying the highest exponent prime factors of 4054 and 4055. First we will calculate the prime factors of 4054 and 4055.

Prime Factorization of 4054


2 4054
2027 2027
1

Prime factors of 4054 are 2,2027. Prime factorization of 4054 in exponential form is:

4054 = 21×20271

Prime Factorization of 4055


5 4055
811 811
1

Prime factors of 4055 are 5,811. Prime factorization of 4055 in exponential form is:

4055 = 51×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 4054 and 4055.

LCM(4054,4055) = 21×51×8111×20271
LCM(4054,4055) = 16438970

Factors of 4054

List of positive integer factors of 4054 that divides 4054 without a remainder.

1, 2, 2027, 4054

Factors of 4055

List of positive integer factors of 4055 that divides 4055 without a remainder.

1, 5, 811, 4055

Least Common Multiple of 4054 and 4055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4054 and 4055, than apply into the LCM equation.

GCF(4054,4055) = 1
LCM(4054,4055) = ( 4054 × 4055) / 1
LCM(4054,4055) = 16438970 / 1
LCM(4054,4055) = 16438970

Properties of LCM 4054 and 4055

(i) The LCM of 4055 and 4054 is associative

LCM of 4054 and 4055 = LCM of 4055 and 4054

Related Least Common Multiples of 4054

Related Least Common Multiples of 4055

Frequently Asked Questions on LCM of 4054 and 4055

1. What is the LCM of 4054 and 4055?

Answer: LCM of 4054 and 4055 is 16438970.

2. What are the Factors of 4054?

Answer: Factors of 4054 are 1, 2, 2027, 4054. There are 4 integers that are factors of 4054. The greatest factor of 4054 is 4054.

3. What are the Factors of 4055?

Answer: Factors of 4055 are 1, 5, 811, 4055. There are 4 integers that are factors of 4055. The greatest factor of 4055 is 4055.

4. How to Find the LCM of 4054 and 4055?

Answer:

Least Common Multiple of 4054 and 4055 = 16438970

Step 1: Find the prime factorization of 4054

4054 = 2 x 2027

Step 2: Find the prime factorization of 4055

4055 = 5 x 811

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

LCM = 16438970 = 2 x 5 x 811 x 2027

Step 4: Therefore, the least common multiple of 4054 and 4055 is 16438970.