Least Common Multiple of 4046 and 4054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4046 and 4054 the smallest integer that is 8201242 that is divisible by both numbers.

Least Common Multiple (LCM) of 4046 and 4054 is 8201242.

LCM(4046,4054) = 8201242

LCM of 4046 and 4054

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

LCM of:
and

Least Common Multiple of 4046 and 4054

LCM of 4046 and 4054 is 8201242

Least common multiple can be found by multiplying the highest exponent prime factors of 4046 and 4054. First we will calculate the prime factors of 4046 and 4054.

Prime Factorization of 4046


2 4046
7 2023
17 289
17 17
1

Prime factors of 4046 are 2, 7,17. Prime factorization of 4046 in exponential form is:

4046 = 21×71×172

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4046 and 4054.

LCM(4046,4054) = 21×71×172×20271
LCM(4046,4054) = 8201242

Factors of 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046

Factors of 4054

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

1, 2, 2027, 4054

Least Common Multiple of 4046 and 4054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4046 and 4054, than apply into the LCM equation.

GCF(4046,4054) = 2
LCM(4046,4054) = ( 4046 × 4054) / 2
LCM(4046,4054) = 16402484 / 2
LCM(4046,4054) = 8201242

Properties of LCM 4046 and 4054

(i) The LCM of 4054 and 4046 is associative

LCM of 4046 and 4054 = LCM of 4054 and 4046

Related Least Common Multiples of 4046

Related Least Common Multiples of 4054

Frequently Asked Questions on LCM of 4046 and 4054

1. What is the LCM of 4046 and 4054?

Answer: LCM of 4046 and 4054 is 8201242.

2. What are the Factors of 4046?

Answer: Factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046. There are 12 integers that are factors of 4046. The greatest factor of 4046 is 4046.

3. 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.

4. How to Find the LCM of 4046 and 4054?

Answer:

Least Common Multiple of 4046 and 4054 = 8201242

Step 1: Find the prime factorization of 4046

4046 = 2 x 7 x 17 x 17

Step 2: Find the prime factorization of 4054

4054 = 2 x 2027

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

LCM = 8201242 = 2 x 7 x 17 x 17 x 2027

Step 4: Therefore, the least common multiple of 4046 and 4054 is 8201242.