Least Common Multiple of 58 and 64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 58 and 64 the smallest integer that is 1856 that is divisible by both numbers.

Least Common Multiple (LCM) of 58 and 64 is 1856.

LCM(58,64) = 1856

LCM of 58 and 64

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

LCM of:
and

Least Common Multiple of 58 and 64

LCM of 58 and 64 is 1856

Least common multiple can be found by multiplying the highest exponent prime factors of 58 and 64. First we will calculate the prime factors of 58 and 64.

Prime Factorization of 58


2 58
29 29
1

Prime factors of 58 are 2,29. Prime factorization of 58 in exponential form is:

58 = 21×291

Prime Factorization of 64


2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 64 are 2. Prime factorization of 64 in exponential form is:

64 = 26

Now multiplying the highest exponent prime factors to calculate the LCM of 58 and 64.

LCM(58,64) = 26×291
LCM(58,64) = 1856

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Least Common Multiple of 58 and 64 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58 and 64, than apply into the LCM equation.

GCF(58,64) = 2
LCM(58,64) = ( 58 × 64) / 2
LCM(58,64) = 3712 / 2
LCM(58,64) = 1856

Properties of LCM 58 and 64

(i) The LCM of 64 and 58 is associative

LCM of 58 and 64 = LCM of 64 and 58

Related Least Common Multiples of 58

Related Least Common Multiples of 64

Frequently Asked Questions on LCM of 58 and 64

1. What is the LCM of 58 and 64?

Answer: LCM of 58 and 64 is 1856.

2. What are the Factors of 58?

Answer: Factors of 58 are 1, 2, 29, 58. There are 4 integers that are factors of 58. The greatest factor of 58 is 58.

3. What are the Factors of 64?

Answer: Factors of 64 are 1, 2, 4, 8, 16, 32, 64. There are 7 integers that are factors of 64. The greatest factor of 64 is 64.

4. How to Find the LCM of 58 and 64?

Answer:

Least Common Multiple of 58 and 64 = 1856

Step 1: Find the prime factorization of 58

58 = 2 x 29

Step 2: Find the prime factorization of 64

64 = 2 x 2 x 2 x 2 x 2 x 2

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

LCM = 1856 = 2 x 2 x 2 x 2 x 2 x 2 x 29

Step 4: Therefore, the least common multiple of 58 and 64 is 1856.