Least Common Multiple of 7061 and 7069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7061 and 7069 the smallest integer that is 49914209 that is divisible by both numbers.

Least Common Multiple (LCM) of 7061 and 7069 is 49914209.

LCM(7061,7069) = 49914209

LCM of 7061 and 7069

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

LCM of:
and

Least Common Multiple of 7061 and 7069

LCM of 7061 and 7069 is 49914209

Least common multiple can be found by multiplying the highest exponent prime factors of 7061 and 7069. First we will calculate the prime factors of 7061 and 7069.

Prime Factorization of 7061


23 7061
307 307
1

Prime factors of 7061 are 23,307. Prime factorization of 7061 in exponential form is:

7061 = 231×3071

Prime Factorization of 7069


7069 7069
1

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

7069 = 70691

Now multiplying the highest exponent prime factors to calculate the LCM of 7061 and 7069.

LCM(7061,7069) = 231×3071×70691
LCM(7061,7069) = 49914209

Factors of 7061

List of positive integer factors of 7061 that divides 7061 without a remainder.

1, 23, 307, 7061

Factors of 7069

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

1, 7069

Least Common Multiple of 7061 and 7069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7061 and 7069, than apply into the LCM equation.

GCF(7061,7069) = 1
LCM(7061,7069) = ( 7061 × 7069) / 1
LCM(7061,7069) = 49914209 / 1
LCM(7061,7069) = 49914209

Properties of LCM 7061 and 7069

(i) The LCM of 7069 and 7061 is associative

LCM of 7061 and 7069 = LCM of 7069 and 7061

Related Least Common Multiples of 7061

Related Least Common Multiples of 7069

Frequently Asked Questions on LCM of 7061 and 7069

1. What is the LCM of 7061 and 7069?

Answer: LCM of 7061 and 7069 is 49914209.

2. What are the Factors of 7061?

Answer: Factors of 7061 are 1, 23, 307, 7061. There are 4 integers that are factors of 7061. The greatest factor of 7061 is 7061.

3. 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.

4. How to Find the LCM of 7061 and 7069?

Answer:

Least Common Multiple of 7061 and 7069 = 49914209

Step 1: Find the prime factorization of 7061

7061 = 23 x 307

Step 2: Find the prime factorization of 7069

7069 = 7069

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

LCM = 49914209 = 23 x 307 x 7069

Step 4: Therefore, the least common multiple of 7061 and 7069 is 49914209.