Least Common Multiple of 4049 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 4049 and 4056 the smallest integer that is 16422744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4049 and 4056 is 16422744.

LCM(4049,4056) = 16422744

LCM of 4049 and 4056

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

LCM of:
and

Least Common Multiple of 4049 and 4056

LCM of 4049 and 4056 is 16422744

Least common multiple can be found by multiplying the highest exponent prime factors of 4049 and 4056. First we will calculate the prime factors of 4049 and 4056.

Prime Factorization of 4049


4049 4049
1

Prime factors of 4049 are 4049. Prime factorization of 4049 in exponential form is:

4049 = 40491

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 4049 and 4056.

LCM(4049,4056) = 23×31×132×40491
LCM(4049,4056) = 16422744

Factors of 4049

List of positive integer factors of 4049 that divides 4049 without a remainder.

1, 4049

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 4049 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 4049 and 4056, than apply into the LCM equation.

GCF(4049,4056) = 1
LCM(4049,4056) = ( 4049 × 4056) / 1
LCM(4049,4056) = 16422744 / 1
LCM(4049,4056) = 16422744

Properties of LCM 4049 and 4056

(i) The LCM of 4056 and 4049 is associative

LCM of 4049 and 4056 = LCM of 4056 and 4049

Related Least Common Multiples of 4049

Related Least Common Multiples of 4056

Frequently Asked Questions on LCM of 4049 and 4056

1. What is the LCM of 4049 and 4056?

Answer: LCM of 4049 and 4056 is 16422744.

2. What are the Factors of 4049?

Answer: Factors of 4049 are 1, 4049. There are 2 integers that are factors of 4049. The greatest factor of 4049 is 4049.

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 4049 and 4056?

Answer:

Least Common Multiple of 4049 and 4056 = 16422744

Step 1: Find the prime factorization of 4049

4049 = 4049

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 = 16422744 = 2 x 2 x 2 x 3 x 13 x 13 x 4049

Step 4: Therefore, the least common multiple of 4049 and 4056 is 16422744.