Least Common Multiple of 5074 and 5078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5074 and 5078 the smallest integer that is 12882886 that is divisible by both numbers.

Least Common Multiple (LCM) of 5074 and 5078 is 12882886.

LCM(5074,5078) = 12882886

LCM of 5074 and 5078

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

LCM of:
and

Least Common Multiple of 5074 and 5078

LCM of 5074 and 5078 is 12882886

Least common multiple can be found by multiplying the highest exponent prime factors of 5074 and 5078. First we will calculate the prime factors of 5074 and 5078.

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

Prime Factorization of 5078


2 5078
2539 2539
1

Prime factors of 5078 are 2,2539. Prime factorization of 5078 in exponential form is:

5078 = 21×25391

Now multiplying the highest exponent prime factors to calculate the LCM of 5074 and 5078.

LCM(5074,5078) = 21×431×591×25391
LCM(5074,5078) = 12882886

Factors of 5074

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

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

Factors of 5078

List of positive integer factors of 5078 that divides 5078 without a remainder.

1, 2, 2539, 5078

Least Common Multiple of 5074 and 5078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5074 and 5078, than apply into the LCM equation.

GCF(5074,5078) = 2
LCM(5074,5078) = ( 5074 × 5078) / 2
LCM(5074,5078) = 25765772 / 2
LCM(5074,5078) = 12882886

Properties of LCM 5074 and 5078

(i) The LCM of 5078 and 5074 is associative

LCM of 5074 and 5078 = LCM of 5078 and 5074

Related Least Common Multiples of 5074

Related Least Common Multiples of 5078

Frequently Asked Questions on LCM of 5074 and 5078

1. What is the LCM of 5074 and 5078?

Answer: LCM of 5074 and 5078 is 12882886.

2. 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.

3. What are the Factors of 5078?

Answer: Factors of 5078 are 1, 2, 2539, 5078. There are 4 integers that are factors of 5078. The greatest factor of 5078 is 5078.

4. How to Find the LCM of 5074 and 5078?

Answer:

Least Common Multiple of 5074 and 5078 = 12882886

Step 1: Find the prime factorization of 5074

5074 = 2 x 43 x 59

Step 2: Find the prime factorization of 5078

5078 = 2 x 2539

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

LCM = 12882886 = 2 x 43 x 59 x 2539

Step 4: Therefore, the least common multiple of 5074 and 5078 is 12882886.