Least Common Multiple of 9064 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 9064 and 9072 the smallest integer that is 10278576 that is divisible by both numbers.

Least Common Multiple (LCM) of 9064 and 9072 is 10278576.

LCM(9064,9072) = 10278576

LCM of 9064 and 9072

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

LCM of:
and

Least Common Multiple of 9064 and 9072

LCM of 9064 and 9072 is 10278576

Least common multiple can be found by multiplying the highest exponent prime factors of 9064 and 9072. First we will calculate the prime factors of 9064 and 9072.

Prime Factorization of 9064


2 9064
2 4532
2 2266
11 1133
103 103
1

Prime factors of 9064 are 2, 11,103. Prime factorization of 9064 in exponential form is:

9064 = 23×111×1031

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 9064 and 9072.

LCM(9064,9072) = 24×34×71×111×1031
LCM(9064,9072) = 10278576

Factors of 9064

List of positive integer factors of 9064 that divides 9064 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064

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 9064 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 9064 and 9072, than apply into the LCM equation.

GCF(9064,9072) = 8
LCM(9064,9072) = ( 9064 × 9072) / 8
LCM(9064,9072) = 82228608 / 8
LCM(9064,9072) = 10278576

Properties of LCM 9064 and 9072

(i) The LCM of 9072 and 9064 is associative

LCM of 9064 and 9072 = LCM of 9072 and 9064

Related Least Common Multiples of 9064

Related Least Common Multiples of 9072

Frequently Asked Questions on LCM of 9064 and 9072

1. What is the LCM of 9064 and 9072?

Answer: LCM of 9064 and 9072 is 10278576.

2. What are the Factors of 9064?

Answer: Factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064. There are 16 integers that are factors of 9064. The greatest factor of 9064 is 9064.

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 9064 and 9072?

Answer:

Least Common Multiple of 9064 and 9072 = 10278576

Step 1: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

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 = 10278576 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 9064 and 9072 is 10278576.