Least Common Multiple of 7069 and 7077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7069 and 7077 the smallest integer that is 50027313 that is divisible by both numbers.

Least Common Multiple (LCM) of 7069 and 7077 is 50027313.

LCM(7069,7077) = 50027313

LCM of 7069 and 7077

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

LCM of:
and

Least Common Multiple of 7069 and 7077

LCM of 7069 and 7077 is 50027313

Least common multiple can be found by multiplying the highest exponent prime factors of 7069 and 7077. First we will calculate the prime factors of 7069 and 7077.

Prime Factorization of 7069


7069 7069
1

Prime factors of 7069 are 7069. Prime factorization of 7069 in exponential form is:

7069 = 70691

Prime Factorization of 7077


3 7077
7 2359
337 337
1

Prime factors of 7077 are 3, 7,337. Prime factorization of 7077 in exponential form is:

7077 = 31×71×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 7069 and 7077.

LCM(7069,7077) = 31×71×3371×70691
LCM(7069,7077) = 50027313

Factors of 7069

List of positive integer factors of 7069 that divides 7069 without a remainder.

1, 7069

Factors of 7077

List of positive integer factors of 7077 that divides 7077 without a remainder.

1, 3, 7, 21, 337, 1011, 2359, 7077

Least Common Multiple of 7069 and 7077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7069 and 7077, than apply into the LCM equation.

GCF(7069,7077) = 1
LCM(7069,7077) = ( 7069 × 7077) / 1
LCM(7069,7077) = 50027313 / 1
LCM(7069,7077) = 50027313

Properties of LCM 7069 and 7077

(i) The LCM of 7077 and 7069 is associative

LCM of 7069 and 7077 = LCM of 7077 and 7069

Related Least Common Multiples of 7069

Related Least Common Multiples of 7077

Frequently Asked Questions on LCM of 7069 and 7077

1. What is the LCM of 7069 and 7077?

Answer: LCM of 7069 and 7077 is 50027313.

2. What are the Factors of 7069?

Answer: Factors of 7069 are 1, 7069. There are 2 integers that are factors of 7069. The greatest factor of 7069 is 7069.

3. What are the Factors of 7077?

Answer: Factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077. There are 8 integers that are factors of 7077. The greatest factor of 7077 is 7077.

4. How to Find the LCM of 7069 and 7077?

Answer:

Least Common Multiple of 7069 and 7077 = 50027313

Step 1: Find the prime factorization of 7069

7069 = 7069

Step 2: Find the prime factorization of 7077

7077 = 3 x 7 x 337

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

LCM = 50027313 = 3 x 7 x 337 x 7069

Step 4: Therefore, the least common multiple of 7069 and 7077 is 50027313.