Least Common Multiple of 5056 and 5064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5056 and 5064 the smallest integer that is 3200448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5056 and 5064 is 3200448.

LCM(5056,5064) = 3200448

LCM of 5056 and 5064

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

LCM of:
and

Least Common Multiple of 5056 and 5064

LCM of 5056 and 5064 is 3200448

Least common multiple can be found by multiplying the highest exponent prime factors of 5056 and 5064. First we will calculate the prime factors of 5056 and 5064.

Prime Factorization of 5056


2 5056
2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 5056 are 2,79. Prime factorization of 5056 in exponential form is:

5056 = 26×791

Prime Factorization of 5064


2 5064
2 2532
2 1266
3 633
211 211
1

Prime factors of 5064 are 2, 3,211. Prime factorization of 5064 in exponential form is:

5064 = 23×31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5056 and 5064.

LCM(5056,5064) = 26×31×791×2111
LCM(5056,5064) = 3200448

Factors of 5056

List of positive integer factors of 5056 that divides 5056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064

Least Common Multiple of 5056 and 5064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5056 and 5064, than apply into the LCM equation.

GCF(5056,5064) = 8
LCM(5056,5064) = ( 5056 × 5064) / 8
LCM(5056,5064) = 25603584 / 8
LCM(5056,5064) = 3200448

Properties of LCM 5056 and 5064

(i) The LCM of 5064 and 5056 is associative

LCM of 5056 and 5064 = LCM of 5064 and 5056

Related Least Common Multiples of 5056

Related Least Common Multiples of 5064

Frequently Asked Questions on LCM of 5056 and 5064

1. What is the LCM of 5056 and 5064?

Answer: LCM of 5056 and 5064 is 3200448.

2. What are the Factors of 5056?

Answer: Factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056. There are 14 integers that are factors of 5056. The greatest factor of 5056 is 5056.

3. What are the Factors of 5064?

Answer: Factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064. There are 16 integers that are factors of 5064. The greatest factor of 5064 is 5064.

4. How to Find the LCM of 5056 and 5064?

Answer:

Least Common Multiple of 5056 and 5064 = 3200448

Step 1: Find the prime factorization of 5056

5056 = 2 x 2 x 2 x 2 x 2 x 2 x 79

Step 2: Find the prime factorization of 5064

5064 = 2 x 2 x 2 x 3 x 211

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

LCM = 3200448 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 79 x 211

Step 4: Therefore, the least common multiple of 5056 and 5064 is 3200448.