Least Common Multiple of 5069 and 5077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5069 and 5077 the smallest integer that is 25735313 that is divisible by both numbers.

Least Common Multiple (LCM) of 5069 and 5077 is 25735313.

LCM(5069,5077) = 25735313

LCM of 5069 and 5077

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

LCM of:
and

Least Common Multiple of 5069 and 5077

LCM of 5069 and 5077 is 25735313

Least common multiple can be found by multiplying the highest exponent prime factors of 5069 and 5077. First we will calculate the prime factors of 5069 and 5077.

Prime Factorization of 5069


37 5069
137 137
1

Prime factors of 5069 are 37,137. Prime factorization of 5069 in exponential form is:

5069 = 371×1371

Prime Factorization of 5077


5077 5077
1

Prime factors of 5077 are 5077. Prime factorization of 5077 in exponential form is:

5077 = 50771

Now multiplying the highest exponent prime factors to calculate the LCM of 5069 and 5077.

LCM(5069,5077) = 371×1371×50771
LCM(5069,5077) = 25735313

Factors of 5069

List of positive integer factors of 5069 that divides 5069 without a remainder.

1, 37, 137, 5069

Factors of 5077

List of positive integer factors of 5077 that divides 5077 without a remainder.

1, 5077

Least Common Multiple of 5069 and 5077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5069 and 5077, than apply into the LCM equation.

GCF(5069,5077) = 1
LCM(5069,5077) = ( 5069 × 5077) / 1
LCM(5069,5077) = 25735313 / 1
LCM(5069,5077) = 25735313

Properties of LCM 5069 and 5077

(i) The LCM of 5077 and 5069 is associative

LCM of 5069 and 5077 = LCM of 5077 and 5069

Related Least Common Multiples of 5069

Related Least Common Multiples of 5077

Frequently Asked Questions on LCM of 5069 and 5077

1. What is the LCM of 5069 and 5077?

Answer: LCM of 5069 and 5077 is 25735313.

2. What are the Factors of 5069?

Answer: Factors of 5069 are 1, 37, 137, 5069. There are 4 integers that are factors of 5069. The greatest factor of 5069 is 5069.

3. What are the Factors of 5077?

Answer: Factors of 5077 are 1, 5077. There are 2 integers that are factors of 5077. The greatest factor of 5077 is 5077.

4. How to Find the LCM of 5069 and 5077?

Answer:

Least Common Multiple of 5069 and 5077 = 25735313

Step 1: Find the prime factorization of 5069

5069 = 37 x 137

Step 2: Find the prime factorization of 5077

5077 = 5077

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

LCM = 25735313 = 37 x 137 x 5077

Step 4: Therefore, the least common multiple of 5069 and 5077 is 25735313.