Least Common Multiple of 4064 and 4071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4064 and 4071 the smallest integer that is 16544544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4064 and 4071 is 16544544.

LCM(4064,4071) = 16544544

LCM of 4064 and 4071

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

LCM of:
and

Least Common Multiple of 4064 and 4071

LCM of 4064 and 4071 is 16544544

Least common multiple can be found by multiplying the highest exponent prime factors of 4064 and 4071. First we will calculate the prime factors of 4064 and 4071.

Prime Factorization of 4064


2 4064
2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 4064 are 2,127. Prime factorization of 4064 in exponential form is:

4064 = 25×1271

Prime Factorization of 4071


3 4071
23 1357
59 59
1

Prime factors of 4071 are 3, 23,59. Prime factorization of 4071 in exponential form is:

4071 = 31×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4064 and 4071.

LCM(4064,4071) = 25×31×231×591×1271
LCM(4064,4071) = 16544544

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064

Factors of 4071

List of positive integer factors of 4071 that divides 4071 without a remainder.

1, 3, 23, 59, 69, 177, 1357, 4071

Least Common Multiple of 4064 and 4071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4064 and 4071, than apply into the LCM equation.

GCF(4064,4071) = 1
LCM(4064,4071) = ( 4064 × 4071) / 1
LCM(4064,4071) = 16544544 / 1
LCM(4064,4071) = 16544544

Properties of LCM 4064 and 4071

(i) The LCM of 4071 and 4064 is associative

LCM of 4064 and 4071 = LCM of 4071 and 4064

Related Least Common Multiples of 4064

Related Least Common Multiples of 4071

Frequently Asked Questions on LCM of 4064 and 4071

1. What is the LCM of 4064 and 4071?

Answer: LCM of 4064 and 4071 is 16544544.

2. What are the Factors of 4064?

Answer: Factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064. There are 12 integers that are factors of 4064. The greatest factor of 4064 is 4064.

3. What are the Factors of 4071?

Answer: Factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071. There are 8 integers that are factors of 4071. The greatest factor of 4071 is 4071.

4. How to Find the LCM of 4064 and 4071?

Answer:

Least Common Multiple of 4064 and 4071 = 16544544

Step 1: Find the prime factorization of 4064

4064 = 2 x 2 x 2 x 2 x 2 x 127

Step 2: Find the prime factorization of 4071

4071 = 3 x 23 x 59

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

LCM = 16544544 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 59 x 127

Step 4: Therefore, the least common multiple of 4064 and 4071 is 16544544.