Least Common Multiple of 5066 and 5072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5066 and 5072 the smallest integer that is 12847376 that is divisible by both numbers.

Least Common Multiple (LCM) of 5066 and 5072 is 12847376.

LCM(5066,5072) = 12847376

LCM of 5066 and 5072

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

LCM of:
and

Least Common Multiple of 5066 and 5072

LCM of 5066 and 5072 is 12847376

Least common multiple can be found by multiplying the highest exponent prime factors of 5066 and 5072. First we will calculate the prime factors of 5066 and 5072.

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

Prime Factorization of 5072


2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 5072 are 2,317. Prime factorization of 5072 in exponential form is:

5072 = 24×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5066 and 5072.

LCM(5066,5072) = 24×171×1491×3171
LCM(5066,5072) = 12847376

Factors of 5066

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

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

Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072

Least Common Multiple of 5066 and 5072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5066 and 5072, than apply into the LCM equation.

GCF(5066,5072) = 2
LCM(5066,5072) = ( 5066 × 5072) / 2
LCM(5066,5072) = 25694752 / 2
LCM(5066,5072) = 12847376

Properties of LCM 5066 and 5072

(i) The LCM of 5072 and 5066 is associative

LCM of 5066 and 5072 = LCM of 5072 and 5066

Related Least Common Multiples of 5066

Related Least Common Multiples of 5072

Frequently Asked Questions on LCM of 5066 and 5072

1. What is the LCM of 5066 and 5072?

Answer: LCM of 5066 and 5072 is 12847376.

2. 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.

3. What are the Factors of 5072?

Answer: Factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. There are 10 integers that are factors of 5072. The greatest factor of 5072 is 5072.

4. How to Find the LCM of 5066 and 5072?

Answer:

Least Common Multiple of 5066 and 5072 = 12847376

Step 1: Find the prime factorization of 5066

5066 = 2 x 17 x 149

Step 2: Find the prime factorization of 5072

5072 = 2 x 2 x 2 x 2 x 317

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

LCM = 12847376 = 2 x 2 x 2 x 2 x 17 x 149 x 317

Step 4: Therefore, the least common multiple of 5066 and 5072 is 12847376.