Least Common Multiple of 3048 and 3056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3048 and 3056 the smallest integer that is 1164336 that is divisible by both numbers.

Least Common Multiple (LCM) of 3048 and 3056 is 1164336.

LCM(3048,3056) = 1164336

LCM of 3048 and 3056

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

LCM of:
and

Least Common Multiple of 3048 and 3056

LCM of 3048 and 3056 is 1164336

Least common multiple can be found by multiplying the highest exponent prime factors of 3048 and 3056. First we will calculate the prime factors of 3048 and 3056.

Prime Factorization of 3048


2 3048
2 1524
2 762
3 381
127 127
1

Prime factors of 3048 are 2, 3,127. Prime factorization of 3048 in exponential form is:

3048 = 23×31×1271

Prime Factorization of 3056


2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 3056 are 2,191. Prime factorization of 3056 in exponential form is:

3056 = 24×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 3048 and 3056.

LCM(3048,3056) = 24×31×1271×1911
LCM(3048,3056) = 1164336

Factors of 3048

List of positive integer factors of 3048 that divides 3048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048

Factors of 3056

List of positive integer factors of 3056 that divides 3056 without a remainder.

1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056

Least Common Multiple of 3048 and 3056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3048 and 3056, than apply into the LCM equation.

GCF(3048,3056) = 8
LCM(3048,3056) = ( 3048 × 3056) / 8
LCM(3048,3056) = 9314688 / 8
LCM(3048,3056) = 1164336

Properties of LCM 3048 and 3056

(i) The LCM of 3056 and 3048 is associative

LCM of 3048 and 3056 = LCM of 3056 and 3048

Related Least Common Multiples of 3048

Related Least Common Multiples of 3056

Frequently Asked Questions on LCM of 3048 and 3056

1. What is the LCM of 3048 and 3056?

Answer: LCM of 3048 and 3056 is 1164336.

2. What are the Factors of 3048?

Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.

3. What are the Factors of 3056?

Answer: Factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056. There are 10 integers that are factors of 3056. The greatest factor of 3056 is 3056.

4. How to Find the LCM of 3048 and 3056?

Answer:

Least Common Multiple of 3048 and 3056 = 1164336

Step 1: Find the prime factorization of 3048

3048 = 2 x 2 x 2 x 3 x 127

Step 2: Find the prime factorization of 3056

3056 = 2 x 2 x 2 x 2 x 191

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

LCM = 1164336 = 2 x 2 x 2 x 2 x 3 x 127 x 191

Step 4: Therefore, the least common multiple of 3048 and 3056 is 1164336.