Least Common Multiple of 5063 and 5067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5063 and 5067 the smallest integer that is 25654221 that is divisible by both numbers.

Least Common Multiple (LCM) of 5063 and 5067 is 25654221.

LCM(5063,5067) = 25654221

LCM of 5063 and 5067

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

LCM of:
and

Least Common Multiple of 5063 and 5067

LCM of 5063 and 5067 is 25654221

Least common multiple can be found by multiplying the highest exponent prime factors of 5063 and 5067. First we will calculate the prime factors of 5063 and 5067.

Prime Factorization of 5063


61 5063
83 83
1

Prime factors of 5063 are 61,83. Prime factorization of 5063 in exponential form is:

5063 = 611×831

Prime Factorization of 5067


3 5067
3 1689
563 563
1

Prime factors of 5067 are 3,563. Prime factorization of 5067 in exponential form is:

5067 = 32×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 5063 and 5067.

LCM(5063,5067) = 32×611×831×5631
LCM(5063,5067) = 25654221

Factors of 5063

List of positive integer factors of 5063 that divides 5063 without a remainder.

1, 61, 83, 5063

Factors of 5067

List of positive integer factors of 5067 that divides 5067 without a remainder.

1, 3, 9, 563, 1689, 5067

Least Common Multiple of 5063 and 5067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5063 and 5067, than apply into the LCM equation.

GCF(5063,5067) = 1
LCM(5063,5067) = ( 5063 × 5067) / 1
LCM(5063,5067) = 25654221 / 1
LCM(5063,5067) = 25654221

Properties of LCM 5063 and 5067

(i) The LCM of 5067 and 5063 is associative

LCM of 5063 and 5067 = LCM of 5067 and 5063

Related Least Common Multiples of 5063

Related Least Common Multiples of 5067

Frequently Asked Questions on LCM of 5063 and 5067

1. What is the LCM of 5063 and 5067?

Answer: LCM of 5063 and 5067 is 25654221.

2. What are the Factors of 5063?

Answer: Factors of 5063 are 1, 61, 83, 5063. There are 4 integers that are factors of 5063. The greatest factor of 5063 is 5063.

3. What are the Factors of 5067?

Answer: Factors of 5067 are 1, 3, 9, 563, 1689, 5067. There are 6 integers that are factors of 5067. The greatest factor of 5067 is 5067.

4. How to Find the LCM of 5063 and 5067?

Answer:

Least Common Multiple of 5063 and 5067 = 25654221

Step 1: Find the prime factorization of 5063

5063 = 61 x 83

Step 2: Find the prime factorization of 5067

5067 = 3 x 3 x 563

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

LCM = 25654221 = 3 x 3 x 61 x 83 x 563

Step 4: Therefore, the least common multiple of 5063 and 5067 is 25654221.