Least Common Multiple of 2054 and 2055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2054 and 2055 the smallest integer that is 4220970 that is divisible by both numbers.

Least Common Multiple (LCM) of 2054 and 2055 is 4220970.

LCM(2054,2055) = 4220970

LCM of 2054 and 2055

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

LCM of:
and

Least Common Multiple of 2054 and 2055

LCM of 2054 and 2055 is 4220970

Least common multiple can be found by multiplying the highest exponent prime factors of 2054 and 2055. First we will calculate the prime factors of 2054 and 2055.

Prime Factorization of 2054


2 2054
13 1027
79 79
1

Prime factors of 2054 are 2, 13,79. Prime factorization of 2054 in exponential form is:

2054 = 21×131×791

Prime Factorization of 2055


3 2055
5 685
137 137
1

Prime factors of 2055 are 3, 5,137. Prime factorization of 2055 in exponential form is:

2055 = 31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2054 and 2055.

LCM(2054,2055) = 21×31×51×131×791×1371
LCM(2054,2055) = 4220970

Factors of 2054

List of positive integer factors of 2054 that divides 2054 without a remainder.

1, 2, 13, 26, 79, 158, 1027, 2054

Factors of 2055

List of positive integer factors of 2055 that divides 2055 without a remainder.

1, 3, 5, 15, 137, 411, 685, 2055

Least Common Multiple of 2054 and 2055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2054 and 2055, than apply into the LCM equation.

GCF(2054,2055) = 1
LCM(2054,2055) = ( 2054 × 2055) / 1
LCM(2054,2055) = 4220970 / 1
LCM(2054,2055) = 4220970

Properties of LCM 2054 and 2055

(i) The LCM of 2055 and 2054 is associative

LCM of 2054 and 2055 = LCM of 2055 and 2054

Related Least Common Multiples of 2054

Related Least Common Multiples of 2055

Frequently Asked Questions on LCM of 2054 and 2055

1. What is the LCM of 2054 and 2055?

Answer: LCM of 2054 and 2055 is 4220970.

2. What are the Factors of 2054?

Answer: Factors of 2054 are 1, 2, 13, 26, 79, 158, 1027, 2054. There are 8 integers that are factors of 2054. The greatest factor of 2054 is 2054.

3. What are the Factors of 2055?

Answer: Factors of 2055 are 1, 3, 5, 15, 137, 411, 685, 2055. There are 8 integers that are factors of 2055. The greatest factor of 2055 is 2055.

4. How to Find the LCM of 2054 and 2055?

Answer:

Least Common Multiple of 2054 and 2055 = 4220970

Step 1: Find the prime factorization of 2054

2054 = 2 x 13 x 79

Step 2: Find the prime factorization of 2055

2055 = 3 x 5 x 137

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

LCM = 4220970 = 2 x 3 x 5 x 13 x 79 x 137

Step 4: Therefore, the least common multiple of 2054 and 2055 is 4220970.