Least Common Multiple of 64 and 77

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 77 the smallest integer that is 4928 that is divisible by both numbers.

Least Common Multiple (LCM) of 64 and 77 is 4928.

LCM(64,77) = 4928

LCM of 64 and 77

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

LCM of:
and

Least Common Multiple of 64 and 77

LCM of 64 and 77 is 4928

Least common multiple can be found by multiplying the highest exponent prime factors of 64 and 77. First we will calculate the prime factors of 64 and 77.

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 77


7 77
11 11
1

Prime factors of 77 are 7,11. Prime factorization of 77 in exponential form is:

77 = 71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 64 and 77.

LCM(64,77) = 26×71×111
LCM(64,77) = 4928

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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Least Common Multiple of 64 and 77 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 77, than apply into the LCM equation.

GCF(64,77) = 1
LCM(64,77) = ( 64 × 77) / 1
LCM(64,77) = 4928 / 1
LCM(64,77) = 4928

Properties of LCM 64 and 77

(i) The LCM of 77 and 64 is associative

LCM of 64 and 77 = LCM of 77 and 64

Related Least Common Multiples of 64

Related Least Common Multiples of 77

Frequently Asked Questions on LCM of 64 and 77

1. What is the LCM of 64 and 77?

Answer: LCM of 64 and 77 is 4928.

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 77?

Answer: Factors of 77 are 1, 7, 11, 77. There are 4 integers that are factors of 77. The greatest factor of 77 is 77.

4. How to Find the LCM of 64 and 77?

Answer:

Least Common Multiple of 64 and 77 = 4928

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 77

77 = 7 x 11

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

LCM = 4928 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11

Step 4: Therefore, the least common multiple of 64 and 77 is 4928.