Least Common Multiple of 9067 and 9072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9067 and 9072 the smallest integer that is 82255824 that is divisible by both numbers.

Least Common Multiple (LCM) of 9067 and 9072 is 82255824.

LCM(9067,9072) = 82255824

LCM of 9067 and 9072

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

LCM of:
and

Least Common Multiple of 9067 and 9072

LCM of 9067 and 9072 is 82255824

Least common multiple can be found by multiplying the highest exponent prime factors of 9067 and 9072. First we will calculate the prime factors of 9067 and 9072.

Prime Factorization of 9067


9067 9067
1

Prime factors of 9067 are 9067. Prime factorization of 9067 in exponential form is:

9067 = 90671

Prime Factorization of 9072


2 9072
2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 9072 are 2, 3,7. Prime factorization of 9072 in exponential form is:

9072 = 24×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 9067 and 9072.

LCM(9067,9072) = 24×34×71×90671
LCM(9067,9072) = 82255824

Factors of 9067

List of positive integer factors of 9067 that divides 9067 without a remainder.

1, 9067

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072

Least Common Multiple of 9067 and 9072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9067 and 9072, than apply into the LCM equation.

GCF(9067,9072) = 1
LCM(9067,9072) = ( 9067 × 9072) / 1
LCM(9067,9072) = 82255824 / 1
LCM(9067,9072) = 82255824

Properties of LCM 9067 and 9072

(i) The LCM of 9072 and 9067 is associative

LCM of 9067 and 9072 = LCM of 9072 and 9067

Related Least Common Multiples of 9067

Related Least Common Multiples of 9072

Frequently Asked Questions on LCM of 9067 and 9072

1. What is the LCM of 9067 and 9072?

Answer: LCM of 9067 and 9072 is 82255824.

2. What are the Factors of 9067?

Answer: Factors of 9067 are 1, 9067. There are 2 integers that are factors of 9067. The greatest factor of 9067 is 9067.

3. What are the Factors of 9072?

Answer: Factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072. There are 50 integers that are factors of 9072. The greatest factor of 9072 is 9072.

4. How to Find the LCM of 9067 and 9072?

Answer:

Least Common Multiple of 9067 and 9072 = 82255824

Step 1: Find the prime factorization of 9067

9067 = 9067

Step 2: Find the prime factorization of 9072

9072 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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

LCM = 82255824 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 9067

Step 4: Therefore, the least common multiple of 9067 and 9072 is 82255824.