Least Common Multiple of 4046 and 4052

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 4052 the smallest integer that is 8197196 that is divisible by both numbers.

Least Common Multiple (LCM) of 4046 and 4052 is 8197196.

LCM(4046,4052) = 8197196

LCM of 4046 and 4052

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

LCM of:
and

Least Common Multiple of 4046 and 4052

LCM of 4046 and 4052 is 8197196

Least common multiple can be found by multiplying the highest exponent prime factors of 4046 and 4052. First we will calculate the prime factors of 4046 and 4052.

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 4052


2 4052
2 2026
1013 1013
1

Prime factors of 4052 are 2,1013. Prime factorization of 4052 in exponential form is:

4052 = 22×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 4046 and 4052.

LCM(4046,4052) = 22×71×172×10131
LCM(4046,4052) = 8197196

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 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1, 2, 4, 1013, 2026, 4052

Least Common Multiple of 4046 and 4052 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 4052, than apply into the LCM equation.

GCF(4046,4052) = 2
LCM(4046,4052) = ( 4046 × 4052) / 2
LCM(4046,4052) = 16394392 / 2
LCM(4046,4052) = 8197196

Properties of LCM 4046 and 4052

(i) The LCM of 4052 and 4046 is associative

LCM of 4046 and 4052 = LCM of 4052 and 4046

Related Least Common Multiples of 4046

Related Least Common Multiples of 4052

Frequently Asked Questions on LCM of 4046 and 4052

1. What is the LCM of 4046 and 4052?

Answer: LCM of 4046 and 4052 is 8197196.

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 4052?

Answer: Factors of 4052 are 1, 2, 4, 1013, 2026, 4052. There are 6 integers that are factors of 4052. The greatest factor of 4052 is 4052.

4. How to Find the LCM of 4046 and 4052?

Answer:

Least Common Multiple of 4046 and 4052 = 8197196

Step 1: Find the prime factorization of 4046

4046 = 2 x 7 x 17 x 17

Step 2: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

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

LCM = 8197196 = 2 x 2 x 7 x 17 x 17 x 1013

Step 4: Therefore, the least common multiple of 4046 and 4052 is 8197196.