Least Common Multiple of 4059 and 4064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4059 and 4064 the smallest integer that is 16495776 that is divisible by both numbers.

Least Common Multiple (LCM) of 4059 and 4064 is 16495776.

LCM(4059,4064) = 16495776

LCM of 4059 and 4064

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

LCM of:
and

Least Common Multiple of 4059 and 4064

LCM of 4059 and 4064 is 16495776

Least common multiple can be found by multiplying the highest exponent prime factors of 4059 and 4064. First we will calculate the prime factors of 4059 and 4064.

Prime Factorization of 4059


3 4059
3 1353
11 451
41 41
1

Prime factors of 4059 are 3, 11,41. Prime factorization of 4059 in exponential form is:

4059 = 32×111×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4064.

LCM(4059,4064) = 25×32×111×411×1271
LCM(4059,4064) = 16495776

Factors of 4059

List of positive integer factors of 4059 that divides 4059 without a remainder.

1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059

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

Least Common Multiple of 4059 and 4064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4059 and 4064, than apply into the LCM equation.

GCF(4059,4064) = 1
LCM(4059,4064) = ( 4059 × 4064) / 1
LCM(4059,4064) = 16495776 / 1
LCM(4059,4064) = 16495776

Properties of LCM 4059 and 4064

(i) The LCM of 4064 and 4059 is associative

LCM of 4059 and 4064 = LCM of 4064 and 4059

Related Least Common Multiples of 4059

Related Least Common Multiples of 4064

Frequently Asked Questions on LCM of 4059 and 4064

1. What is the LCM of 4059 and 4064?

Answer: LCM of 4059 and 4064 is 16495776.

2. What are the Factors of 4059?

Answer: Factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059. There are 12 integers that are factors of 4059. The greatest factor of 4059 is 4059.

3. 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.

4. How to Find the LCM of 4059 and 4064?

Answer:

Least Common Multiple of 4059 and 4064 = 16495776

Step 1: Find the prime factorization of 4059

4059 = 3 x 3 x 11 x 41

Step 2: Find the prime factorization of 4064

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

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

LCM = 16495776 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 41 x 127

Step 4: Therefore, the least common multiple of 4059 and 4064 is 16495776.