Least Common Multiple of 9064 and 9068

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 9068 the smallest integer that is 20548088 that is divisible by both numbers.

Least Common Multiple (LCM) of 9064 and 9068 is 20548088.

LCM(9064,9068) = 20548088

LCM of 9064 and 9068

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

LCM of:
and

Least Common Multiple of 9064 and 9068

LCM of 9064 and 9068 is 20548088

Least common multiple can be found by multiplying the highest exponent prime factors of 9064 and 9068. First we will calculate the prime factors of 9064 and 9068.

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 9068


2 9068
2 4534
2267 2267
1

Prime factors of 9068 are 2,2267. Prime factorization of 9068 in exponential form is:

9068 = 22×22671

Now multiplying the highest exponent prime factors to calculate the LCM of 9064 and 9068.

LCM(9064,9068) = 23×111×1031×22671
LCM(9064,9068) = 20548088

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 9068

List of positive integer factors of 9068 that divides 9068 without a remainder.

1, 2, 4, 2267, 4534, 9068

Least Common Multiple of 9064 and 9068 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 9068, than apply into the LCM equation.

GCF(9064,9068) = 4
LCM(9064,9068) = ( 9064 × 9068) / 4
LCM(9064,9068) = 82192352 / 4
LCM(9064,9068) = 20548088

Properties of LCM 9064 and 9068

(i) The LCM of 9068 and 9064 is associative

LCM of 9064 and 9068 = LCM of 9068 and 9064

Related Least Common Multiples of 9064

Related Least Common Multiples of 9068

Frequently Asked Questions on LCM of 9064 and 9068

1. What is the LCM of 9064 and 9068?

Answer: LCM of 9064 and 9068 is 20548088.

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 9068?

Answer: Factors of 9068 are 1, 2, 4, 2267, 4534, 9068. There are 6 integers that are factors of 9068. The greatest factor of 9068 is 9068.

4. How to Find the LCM of 9064 and 9068?

Answer:

Least Common Multiple of 9064 and 9068 = 20548088

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 9068

9068 = 2 x 2 x 2267

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

LCM = 20548088 = 2 x 2 x 2 x 11 x 103 x 2267

Step 4: Therefore, the least common multiple of 9064 and 9068 is 20548088.