Least Common Multiple of 4052 and 4056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4052 and 4056 the smallest integer that is 4108728 that is divisible by both numbers.

Least Common Multiple (LCM) of 4052 and 4056 is 4108728.

LCM(4052,4056) = 4108728

LCM of 4052 and 4056

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

LCM of:
and

Least Common Multiple of 4052 and 4056

LCM of 4052 and 4056 is 4108728

Least common multiple can be found by multiplying the highest exponent prime factors of 4052 and 4056. First we will calculate the prime factors of 4052 and 4056.

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

Prime Factorization of 4056


2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 4056 are 2, 3,13. Prime factorization of 4056 in exponential form is:

4056 = 23×31×132

Now multiplying the highest exponent prime factors to calculate the LCM of 4052 and 4056.

LCM(4052,4056) = 23×31×132×10131
LCM(4052,4056) = 4108728

Factors of 4052

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

1, 2, 4, 1013, 2026, 4052

Factors of 4056

List of positive integer factors of 4056 that divides 4056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056

Least Common Multiple of 4052 and 4056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4052 and 4056, than apply into the LCM equation.

GCF(4052,4056) = 4
LCM(4052,4056) = ( 4052 × 4056) / 4
LCM(4052,4056) = 16434912 / 4
LCM(4052,4056) = 4108728

Properties of LCM 4052 and 4056

(i) The LCM of 4056 and 4052 is associative

LCM of 4052 and 4056 = LCM of 4056 and 4052

Related Least Common Multiples of 4052

Related Least Common Multiples of 4056

Frequently Asked Questions on LCM of 4052 and 4056

1. What is the LCM of 4052 and 4056?

Answer: LCM of 4052 and 4056 is 4108728.

2. 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.

3. What are the Factors of 4056?

Answer: Factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056. There are 24 integers that are factors of 4056. The greatest factor of 4056 is 4056.

4. How to Find the LCM of 4052 and 4056?

Answer:

Least Common Multiple of 4052 and 4056 = 4108728

Step 1: Find the prime factorization of 4052

4052 = 2 x 2 x 1013

Step 2: Find the prime factorization of 4056

4056 = 2 x 2 x 2 x 3 x 13 x 13

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

LCM = 4108728 = 2 x 2 x 2 x 3 x 13 x 13 x 1013

Step 4: Therefore, the least common multiple of 4052 and 4056 is 4108728.