Least Common Multiple of 9057 and 9064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9057 and 9064 the smallest integer that is 82092648 that is divisible by both numbers.

Least Common Multiple (LCM) of 9057 and 9064 is 82092648.

LCM(9057,9064) = 82092648

LCM of 9057 and 9064

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

LCM of:
and

Least Common Multiple of 9057 and 9064

LCM of 9057 and 9064 is 82092648

Least common multiple can be found by multiplying the highest exponent prime factors of 9057 and 9064. First we will calculate the prime factors of 9057 and 9064.

Prime Factorization of 9057


3 9057
3019 3019
1

Prime factors of 9057 are 3,3019. Prime factorization of 9057 in exponential form is:

9057 = 31×30191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9057 and 9064.

LCM(9057,9064) = 23×31×111×1031×30191
LCM(9057,9064) = 82092648

Factors of 9057

List of positive integer factors of 9057 that divides 9057 without a remainder.

1, 3, 3019, 9057

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

Least Common Multiple of 9057 and 9064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9057 and 9064, than apply into the LCM equation.

GCF(9057,9064) = 1
LCM(9057,9064) = ( 9057 × 9064) / 1
LCM(9057,9064) = 82092648 / 1
LCM(9057,9064) = 82092648

Properties of LCM 9057 and 9064

(i) The LCM of 9064 and 9057 is associative

LCM of 9057 and 9064 = LCM of 9064 and 9057

Related Least Common Multiples of 9057

Related Least Common Multiples of 9064

Frequently Asked Questions on LCM of 9057 and 9064

1. What is the LCM of 9057 and 9064?

Answer: LCM of 9057 and 9064 is 82092648.

2. What are the Factors of 9057?

Answer: Factors of 9057 are 1, 3, 3019, 9057. There are 4 integers that are factors of 9057. The greatest factor of 9057 is 9057.

3. 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.

4. How to Find the LCM of 9057 and 9064?

Answer:

Least Common Multiple of 9057 and 9064 = 82092648

Step 1: Find the prime factorization of 9057

9057 = 3 x 3019

Step 2: Find the prime factorization of 9064

9064 = 2 x 2 x 2 x 11 x 103

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

LCM = 82092648 = 2 x 2 x 2 x 3 x 11 x 103 x 3019

Step 4: Therefore, the least common multiple of 9057 and 9064 is 82092648.