Least Common Multiple of 9064 and 9071

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 9071 the smallest integer that is 82219544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9064 and 9071 is 82219544.

LCM(9064,9071) = 82219544

LCM of 9064 and 9071

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

LCM of:
and

Least Common Multiple of 9064 and 9071

LCM of 9064 and 9071 is 82219544

Least common multiple can be found by multiplying the highest exponent prime factors of 9064 and 9071. First we will calculate the prime factors of 9064 and 9071.

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 9071


47 9071
193 193
1

Prime factors of 9071 are 47,193. Prime factorization of 9071 in exponential form is:

9071 = 471×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 9064 and 9071.

LCM(9064,9071) = 23×111×471×1031×1931
LCM(9064,9071) = 82219544

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 9071

List of positive integer factors of 9071 that divides 9071 without a remainder.

1, 47, 193, 9071

Least Common Multiple of 9064 and 9071 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 9071, than apply into the LCM equation.

GCF(9064,9071) = 1
LCM(9064,9071) = ( 9064 × 9071) / 1
LCM(9064,9071) = 82219544 / 1
LCM(9064,9071) = 82219544

Properties of LCM 9064 and 9071

(i) The LCM of 9071 and 9064 is associative

LCM of 9064 and 9071 = LCM of 9071 and 9064

Related Least Common Multiples of 9064

Related Least Common Multiples of 9071

Frequently Asked Questions on LCM of 9064 and 9071

1. What is the LCM of 9064 and 9071?

Answer: LCM of 9064 and 9071 is 82219544.

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 9071?

Answer: Factors of 9071 are 1, 47, 193, 9071. There are 4 integers that are factors of 9071. The greatest factor of 9071 is 9071.

4. How to Find the LCM of 9064 and 9071?

Answer:

Least Common Multiple of 9064 and 9071 = 82219544

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 9071

9071 = 47 x 193

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

LCM = 82219544 = 2 x 2 x 2 x 11 x 47 x 103 x 193

Step 4: Therefore, the least common multiple of 9064 and 9071 is 82219544.