Least Common Multiple of 7063 and 7067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7063 and 7067 the smallest integer that is 49914221 that is divisible by both numbers.

Least Common Multiple (LCM) of 7063 and 7067 is 49914221.

LCM(7063,7067) = 49914221

LCM of 7063 and 7067

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

LCM of:
and

Least Common Multiple of 7063 and 7067

LCM of 7063 and 7067 is 49914221

Least common multiple can be found by multiplying the highest exponent prime factors of 7063 and 7067. First we will calculate the prime factors of 7063 and 7067.

Prime Factorization of 7063


7 7063
1009 1009
1

Prime factors of 7063 are 7,1009. Prime factorization of 7063 in exponential form is:

7063 = 71×10091

Prime Factorization of 7067


37 7067
191 191
1

Prime factors of 7067 are 37,191. Prime factorization of 7067 in exponential form is:

7067 = 371×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 7063 and 7067.

LCM(7063,7067) = 71×371×1911×10091
LCM(7063,7067) = 49914221

Factors of 7063

List of positive integer factors of 7063 that divides 7063 without a remainder.

1, 7, 1009, 7063

Factors of 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1, 37, 191, 7067

Least Common Multiple of 7063 and 7067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7063 and 7067, than apply into the LCM equation.

GCF(7063,7067) = 1
LCM(7063,7067) = ( 7063 × 7067) / 1
LCM(7063,7067) = 49914221 / 1
LCM(7063,7067) = 49914221

Properties of LCM 7063 and 7067

(i) The LCM of 7067 and 7063 is associative

LCM of 7063 and 7067 = LCM of 7067 and 7063

Related Least Common Multiples of 7063

Related Least Common Multiples of 7067

Frequently Asked Questions on LCM of 7063 and 7067

1. What is the LCM of 7063 and 7067?

Answer: LCM of 7063 and 7067 is 49914221.

2. What are the Factors of 7063?

Answer: Factors of 7063 are 1, 7, 1009, 7063. There are 4 integers that are factors of 7063. The greatest factor of 7063 is 7063.

3. What are the Factors of 7067?

Answer: Factors of 7067 are 1, 37, 191, 7067. There are 4 integers that are factors of 7067. The greatest factor of 7067 is 7067.

4. How to Find the LCM of 7063 and 7067?

Answer:

Least Common Multiple of 7063 and 7067 = 49914221

Step 1: Find the prime factorization of 7063

7063 = 7 x 1009

Step 2: Find the prime factorization of 7067

7067 = 37 x 191

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

LCM = 49914221 = 7 x 37 x 191 x 1009

Step 4: Therefore, the least common multiple of 7063 and 7067 is 49914221.