Least Common Multiple of 64 and 79

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 79 the smallest integer that is 5056 that is divisible by both numbers.

Least Common Multiple (LCM) of 64 and 79 is 5056.

LCM(64,79) = 5056

LCM of 64 and 79

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

LCM of:
and

Least Common Multiple of 64 and 79

LCM of 64 and 79 is 5056

Least common multiple can be found by multiplying the highest exponent prime factors of 64 and 79. First we will calculate the prime factors of 64 and 79.

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 79


79 79
1

Prime factors of 79 are 79. Prime factorization of 79 in exponential form is:

79 = 791

Now multiplying the highest exponent prime factors to calculate the LCM of 64 and 79.

LCM(64,79) = 26×791
LCM(64,79) = 5056

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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1, 79

Least Common Multiple of 64 and 79 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 79, than apply into the LCM equation.

GCF(64,79) = 1
LCM(64,79) = ( 64 × 79) / 1
LCM(64,79) = 5056 / 1
LCM(64,79) = 5056

Properties of LCM 64 and 79

(i) The LCM of 79 and 64 is associative

LCM of 64 and 79 = LCM of 79 and 64

Related Least Common Multiples of 64

Related Least Common Multiples of 79

Frequently Asked Questions on LCM of 64 and 79

1. What is the LCM of 64 and 79?

Answer: LCM of 64 and 79 is 5056.

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 79?

Answer: Factors of 79 are 1, 79. There are 2 integers that are factors of 79. The greatest factor of 79 is 79.

4. How to Find the LCM of 64 and 79?

Answer:

Least Common Multiple of 64 and 79 = 5056

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 79

79 = 79

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

LCM = 5056 = 2 x 2 x 2 x 2 x 2 x 2 x 79

Step 4: Therefore, the least common multiple of 64 and 79 is 5056.