Least Common Multiple of 64 and 69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 64 and 69 the smallest integer that is 4416 that is divisible by both numbers.

Least Common Multiple (LCM) of 64 and 69 is 4416.

LCM(64,69) = 4416

LCM of 64 and 69

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

LCM of:
and

Least Common Multiple of 64 and 69

LCM of 64 and 69 is 4416

Least common multiple can be found by multiplying the highest exponent prime factors of 64 and 69. First we will calculate the prime factors of 64 and 69.

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

Prime Factorization of 69


3 69
23 23
1

Prime factors of 69 are 3,23. Prime factorization of 69 in exponential form is:

69 = 31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 64 and 69.

LCM(64,69) = 26×31×231
LCM(64,69) = 4416

Factors of 64

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

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

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Least Common Multiple of 64 and 69 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64 and 69, than apply into the LCM equation.

GCF(64,69) = 1
LCM(64,69) = ( 64 × 69) / 1
LCM(64,69) = 4416 / 1
LCM(64,69) = 4416

Properties of LCM 64 and 69

(i) The LCM of 69 and 64 is associative

LCM of 64 and 69 = LCM of 69 and 64

Related Least Common Multiples of 64

Related Least Common Multiples of 69

Frequently Asked Questions on LCM of 64 and 69

1. What is the LCM of 64 and 69?

Answer: LCM of 64 and 69 is 4416.

2. 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.

3. What are the Factors of 69?

Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.

4. How to Find the LCM of 64 and 69?

Answer:

Least Common Multiple of 64 and 69 = 4416

Step 1: Find the prime factorization of 64

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

Step 2: Find the prime factorization of 69

69 = 3 x 23

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

LCM = 4416 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

Step 4: Therefore, the least common multiple of 64 and 69 is 4416.