Least Common Multiple of 5074 and 5079

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 5079 the smallest integer that is 25770846 that is divisible by both numbers.

Least Common Multiple (LCM) of 5074 and 5079 is 25770846.

LCM(5074,5079) = 25770846

LCM of 5074 and 5079

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

LCM of:
and

Least Common Multiple of 5074 and 5079

LCM of 5074 and 5079 is 25770846

Least common multiple can be found by multiplying the highest exponent prime factors of 5074 and 5079. First we will calculate the prime factors of 5074 and 5079.

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 5079


3 5079
1693 1693
1

Prime factors of 5079 are 3,1693. Prime factorization of 5079 in exponential form is:

5079 = 31×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 5074 and 5079.

LCM(5074,5079) = 21×31×431×591×16931
LCM(5074,5079) = 25770846

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 5079

List of positive integer factors of 5079 that divides 5079 without a remainder.

1, 3, 1693, 5079

Least Common Multiple of 5074 and 5079 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 5079, than apply into the LCM equation.

GCF(5074,5079) = 1
LCM(5074,5079) = ( 5074 × 5079) / 1
LCM(5074,5079) = 25770846 / 1
LCM(5074,5079) = 25770846

Properties of LCM 5074 and 5079

(i) The LCM of 5079 and 5074 is associative

LCM of 5074 and 5079 = LCM of 5079 and 5074

Related Least Common Multiples of 5074

Related Least Common Multiples of 5079

Frequently Asked Questions on LCM of 5074 and 5079

1. What is the LCM of 5074 and 5079?

Answer: LCM of 5074 and 5079 is 25770846.

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 5079?

Answer: Factors of 5079 are 1, 3, 1693, 5079. There are 4 integers that are factors of 5079. The greatest factor of 5079 is 5079.

4. How to Find the LCM of 5074 and 5079?

Answer:

Least Common Multiple of 5074 and 5079 = 25770846

Step 1: Find the prime factorization of 5074

5074 = 2 x 43 x 59

Step 2: Find the prime factorization of 5079

5079 = 3 x 1693

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

LCM = 25770846 = 2 x 3 x 43 x 59 x 1693

Step 4: Therefore, the least common multiple of 5074 and 5079 is 25770846.