Least Common Multiple of 5060 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 5060 and 5064 the smallest integer that is 6405960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5060 and 5064 is 6405960.

LCM(5060,5064) = 6405960

LCM of 5060 and 5064

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

LCM of:
and

Least Common Multiple of 5060 and 5064

LCM of 5060 and 5064 is 6405960

Least common multiple can be found by multiplying the highest exponent prime factors of 5060 and 5064. First we will calculate the prime factors of 5060 and 5064.

Prime Factorization of 5060


2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 5060 are 2, 5, 11,23. Prime factorization of 5060 in exponential form is:

5060 = 22×51×111×231

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 5060 and 5064.

LCM(5060,5064) = 23×31×51×111×231×2111
LCM(5060,5064) = 6405960

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060

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 5060 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 5060 and 5064, than apply into the LCM equation.

GCF(5060,5064) = 4
LCM(5060,5064) = ( 5060 × 5064) / 4
LCM(5060,5064) = 25623840 / 4
LCM(5060,5064) = 6405960

Properties of LCM 5060 and 5064

(i) The LCM of 5064 and 5060 is associative

LCM of 5060 and 5064 = LCM of 5064 and 5060

Related Least Common Multiples of 5060

Related Least Common Multiples of 5064

Frequently Asked Questions on LCM of 5060 and 5064

1. What is the LCM of 5060 and 5064?

Answer: LCM of 5060 and 5064 is 6405960.

2. What are the Factors of 5060?

Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.

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 5060 and 5064?

Answer:

Least Common Multiple of 5060 and 5064 = 6405960

Step 1: Find the prime factorization of 5060

5060 = 2 x 2 x 5 x 11 x 23

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 = 6405960 = 2 x 2 x 2 x 3 x 5 x 11 x 23 x 211

Step 4: Therefore, the least common multiple of 5060 and 5064 is 6405960.