Least Common Multiple of 7067 and 7072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7067 and 7072 the smallest integer that is 49977824 that is divisible by both numbers.

Least Common Multiple (LCM) of 7067 and 7072 is 49977824.

LCM(7067,7072) = 49977824

LCM of 7067 and 7072

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

LCM of:
and

Least Common Multiple of 7067 and 7072

LCM of 7067 and 7072 is 49977824

Least common multiple can be found by multiplying the highest exponent prime factors of 7067 and 7072. First we will calculate the prime factors of 7067 and 7072.

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

Prime Factorization of 7072


2 7072
2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 7072 are 2, 13,17. Prime factorization of 7072 in exponential form is:

7072 = 25×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7067 and 7072.

LCM(7067,7072) = 25×131×171×371×1911
LCM(7067,7072) = 49977824

Factors of 7067

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

1, 37, 191, 7067

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072

Least Common Multiple of 7067 and 7072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7067 and 7072, than apply into the LCM equation.

GCF(7067,7072) = 1
LCM(7067,7072) = ( 7067 × 7072) / 1
LCM(7067,7072) = 49977824 / 1
LCM(7067,7072) = 49977824

Properties of LCM 7067 and 7072

(i) The LCM of 7072 and 7067 is associative

LCM of 7067 and 7072 = LCM of 7072 and 7067

Related Least Common Multiples of 7067

Related Least Common Multiples of 7072

Frequently Asked Questions on LCM of 7067 and 7072

1. What is the LCM of 7067 and 7072?

Answer: LCM of 7067 and 7072 is 49977824.

2. 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.

3. What are the Factors of 7072?

Answer: Factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072. There are 24 integers that are factors of 7072. The greatest factor of 7072 is 7072.

4. How to Find the LCM of 7067 and 7072?

Answer:

Least Common Multiple of 7067 and 7072 = 49977824

Step 1: Find the prime factorization of 7067

7067 = 37 x 191

Step 2: Find the prime factorization of 7072

7072 = 2 x 2 x 2 x 2 x 2 x 13 x 17

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

LCM = 49977824 = 2 x 2 x 2 x 2 x 2 x 13 x 17 x 37 x 191

Step 4: Therefore, the least common multiple of 7067 and 7072 is 49977824.