Least Common Multiple of 4054 and 4062

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 4062 the smallest integer that is 8233674 that is divisible by both numbers.

Least Common Multiple (LCM) of 4054 and 4062 is 8233674.

LCM(4054,4062) = 8233674

LCM of 4054 and 4062

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

LCM of:
and

Least Common Multiple of 4054 and 4062

LCM of 4054 and 4062 is 8233674

Least common multiple can be found by multiplying the highest exponent prime factors of 4054 and 4062. First we will calculate the prime factors of 4054 and 4062.

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 4062


2 4062
3 2031
677 677
1

Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:

4062 = 21×31×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 4054 and 4062.

LCM(4054,4062) = 21×31×6771×20271
LCM(4054,4062) = 8233674

Factors of 4054

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

1, 2, 2027, 4054

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1, 2, 3, 6, 677, 1354, 2031, 4062

Least Common Multiple of 4054 and 4062 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 4062, than apply into the LCM equation.

GCF(4054,4062) = 2
LCM(4054,4062) = ( 4054 × 4062) / 2
LCM(4054,4062) = 16467348 / 2
LCM(4054,4062) = 8233674

Properties of LCM 4054 and 4062

(i) The LCM of 4062 and 4054 is associative

LCM of 4054 and 4062 = LCM of 4062 and 4054

Related Least Common Multiples of 4054

Related Least Common Multiples of 4062

Frequently Asked Questions on LCM of 4054 and 4062

1. What is the LCM of 4054 and 4062?

Answer: LCM of 4054 and 4062 is 8233674.

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 4062?

Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.

4. How to Find the LCM of 4054 and 4062?

Answer:

Least Common Multiple of 4054 and 4062 = 8233674

Step 1: Find the prime factorization of 4054

4054 = 2 x 2027

Step 2: Find the prime factorization of 4062

4062 = 2 x 3 x 677

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

LCM = 8233674 = 2 x 3 x 677 x 2027

Step 4: Therefore, the least common multiple of 4054 and 4062 is 8233674.