Least Common Multiple of 5060 and 5066

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 5066 the smallest integer that is 12816980 that is divisible by both numbers.

Least Common Multiple (LCM) of 5060 and 5066 is 12816980.

LCM(5060,5066) = 12816980

LCM of 5060 and 5066

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

LCM of:
and

Least Common Multiple of 5060 and 5066

LCM of 5060 and 5066 is 12816980

Least common multiple can be found by multiplying the highest exponent prime factors of 5060 and 5066. First we will calculate the prime factors of 5060 and 5066.

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 5066


2 5066
17 2533
149 149
1

Prime factors of 5066 are 2, 17,149. Prime factorization of 5066 in exponential form is:

5066 = 21×171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5060 and 5066.

LCM(5060,5066) = 22×51×111×171×231×1491
LCM(5060,5066) = 12816980

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 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1, 2, 17, 34, 149, 298, 2533, 5066

Least Common Multiple of 5060 and 5066 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 5066, than apply into the LCM equation.

GCF(5060,5066) = 2
LCM(5060,5066) = ( 5060 × 5066) / 2
LCM(5060,5066) = 25633960 / 2
LCM(5060,5066) = 12816980

Properties of LCM 5060 and 5066

(i) The LCM of 5066 and 5060 is associative

LCM of 5060 and 5066 = LCM of 5066 and 5060

Related Least Common Multiples of 5060

Related Least Common Multiples of 5066

Frequently Asked Questions on LCM of 5060 and 5066

1. What is the LCM of 5060 and 5066?

Answer: LCM of 5060 and 5066 is 12816980.

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 5066?

Answer: Factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066. There are 8 integers that are factors of 5066. The greatest factor of 5066 is 5066.

4. How to Find the LCM of 5060 and 5066?

Answer:

Least Common Multiple of 5060 and 5066 = 12816980

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 5066

5066 = 2 x 17 x 149

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

LCM = 12816980 = 2 x 2 x 5 x 11 x 17 x 23 x 149

Step 4: Therefore, the least common multiple of 5060 and 5066 is 12816980.