Least Common Multiple of 5066 and 5074

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 5074 the smallest integer that is 12852442 that is divisible by both numbers.

Least Common Multiple (LCM) of 5066 and 5074 is 12852442.

LCM(5066,5074) = 12852442

LCM of 5066 and 5074

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

LCM of:
and

Least Common Multiple of 5066 and 5074

LCM of 5066 and 5074 is 12852442

Least common multiple can be found by multiplying the highest exponent prime factors of 5066 and 5074. First we will calculate the prime factors of 5066 and 5074.

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 5074


2 5074
43 2537
59 59
1

Prime factors of 5074 are 2, 43,59. Prime factorization of 5074 in exponential form is:

5074 = 21×431×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5066 and 5074.

LCM(5066,5074) = 21×171×431×591×1491
LCM(5066,5074) = 12852442

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 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1, 2, 43, 59, 86, 118, 2537, 5074

Least Common Multiple of 5066 and 5074 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 5074, than apply into the LCM equation.

GCF(5066,5074) = 2
LCM(5066,5074) = ( 5066 × 5074) / 2
LCM(5066,5074) = 25704884 / 2
LCM(5066,5074) = 12852442

Properties of LCM 5066 and 5074

(i) The LCM of 5074 and 5066 is associative

LCM of 5066 and 5074 = LCM of 5074 and 5066

Related Least Common Multiples of 5066

Related Least Common Multiples of 5074

Frequently Asked Questions on LCM of 5066 and 5074

1. What is the LCM of 5066 and 5074?

Answer: LCM of 5066 and 5074 is 12852442.

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 5074?

Answer: Factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074. There are 8 integers that are factors of 5074. The greatest factor of 5074 is 5074.

4. How to Find the LCM of 5066 and 5074?

Answer:

Least Common Multiple of 5066 and 5074 = 12852442

Step 1: Find the prime factorization of 5066

5066 = 2 x 17 x 149

Step 2: Find the prime factorization of 5074

5074 = 2 x 43 x 59

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

LCM = 12852442 = 2 x 17 x 43 x 59 x 149

Step 4: Therefore, the least common multiple of 5066 and 5074 is 12852442.