Least Common Multiple of 4054 and 4058

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 4058 the smallest integer that is 8225566 that is divisible by both numbers.

Least Common Multiple (LCM) of 4054 and 4058 is 8225566.

LCM(4054,4058) = 8225566

LCM of 4054 and 4058

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

LCM of:
and

Least Common Multiple of 4054 and 4058

LCM of 4054 and 4058 is 8225566

Least common multiple can be found by multiplying the highest exponent prime factors of 4054 and 4058. First we will calculate the prime factors of 4054 and 4058.

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 4058


2 4058
2029 2029
1

Prime factors of 4058 are 2,2029. Prime factorization of 4058 in exponential form is:

4058 = 21×20291

Now multiplying the highest exponent prime factors to calculate the LCM of 4054 and 4058.

LCM(4054,4058) = 21×20271×20291
LCM(4054,4058) = 8225566

Factors of 4054

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

1, 2, 2027, 4054

Factors of 4058

List of positive integer factors of 4058 that divides 4058 without a remainder.

1, 2, 2029, 4058

Least Common Multiple of 4054 and 4058 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 4058, than apply into the LCM equation.

GCF(4054,4058) = 2
LCM(4054,4058) = ( 4054 × 4058) / 2
LCM(4054,4058) = 16451132 / 2
LCM(4054,4058) = 8225566

Properties of LCM 4054 and 4058

(i) The LCM of 4058 and 4054 is associative

LCM of 4054 and 4058 = LCM of 4058 and 4054

Related Least Common Multiples of 4054

Related Least Common Multiples of 4058

Frequently Asked Questions on LCM of 4054 and 4058

1. What is the LCM of 4054 and 4058?

Answer: LCM of 4054 and 4058 is 8225566.

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 4058?

Answer: Factors of 4058 are 1, 2, 2029, 4058. There are 4 integers that are factors of 4058. The greatest factor of 4058 is 4058.

4. How to Find the LCM of 4054 and 4058?

Answer:

Least Common Multiple of 4054 and 4058 = 8225566

Step 1: Find the prime factorization of 4054

4054 = 2 x 2027

Step 2: Find the prime factorization of 4058

4058 = 2 x 2029

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

LCM = 8225566 = 2 x 2027 x 2029

Step 4: Therefore, the least common multiple of 4054 and 4058 is 8225566.