Least Common Multiple of 4055 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 4055 and 4058 the smallest integer that is 16455190 that is divisible by both numbers.

Least Common Multiple (LCM) of 4055 and 4058 is 16455190.

LCM(4055,4058) = 16455190

LCM of 4055 and 4058

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

LCM of:
and

Least Common Multiple of 4055 and 4058

LCM of 4055 and 4058 is 16455190

Least common multiple can be found by multiplying the highest exponent prime factors of 4055 and 4058. First we will calculate the prime factors of 4055 and 4058.

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

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 4055 and 4058.

LCM(4055,4058) = 21×51×8111×20291
LCM(4055,4058) = 16455190

Factors of 4055

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

1, 5, 811, 4055

Factors of 4058

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

1, 2, 2029, 4058

Least Common Multiple of 4055 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 4055 and 4058, than apply into the LCM equation.

GCF(4055,4058) = 1
LCM(4055,4058) = ( 4055 × 4058) / 1
LCM(4055,4058) = 16455190 / 1
LCM(4055,4058) = 16455190

Properties of LCM 4055 and 4058

(i) The LCM of 4058 and 4055 is associative

LCM of 4055 and 4058 = LCM of 4058 and 4055

Related Least Common Multiples of 4055

Related Least Common Multiples of 4058

Frequently Asked Questions on LCM of 4055 and 4058

1. What is the LCM of 4055 and 4058?

Answer: LCM of 4055 and 4058 is 16455190.

2. 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.

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 4055 and 4058?

Answer:

Least Common Multiple of 4055 and 4058 = 16455190

Step 1: Find the prime factorization of 4055

4055 = 5 x 811

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 = 16455190 = 2 x 5 x 811 x 2029

Step 4: Therefore, the least common multiple of 4055 and 4058 is 16455190.