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Least Common Multiple of 4 and 8

Free LCM Calculator determines the least common multiple (LCM) between 4 and 8 the smallest integer that is 8 that is divisible by both numbers.

Least Common Multiple (LCM) of 4 and 8 is 8.

LCM(4,8) = 8

LCM of 4 and 8

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

LCM of:
and

Least Common Multiple (LCM) of 4 and 8 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 8. First we will calculate the prime factors of 4 and 8.

Prime Factorization of 4


2 4
2 2
1

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Prime Factorization of 8


2 8
2 4
2 2
1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 8.

LCM(4,8) = 23
LCM(4,8) = 8

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2, 4

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Least Common Multiple of 4 and 8 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4 and 8, than apply into the LCM equation.

GCF(4,8) = 4
LCM(4,8) = ( 4 × 8) / 4
LCM(4,8) = 32 / 4
LCM(4,8) = 8

Least Common Multiple of 4 and 8 by Listing Multiples

Multiples of 4

4,8

Multiples of 8

8

Find the smallest number that is on all of the lists. We have it in bold above.

∴ Least Common Multiple of 4 and 8 is 8

Properties of LCM 4 and 8

(i) The LCM of 8 and 4 is associative

LCM of 4 and 8 = LCM of 8 and 4

Frequently Asked Questions on LCM of 4 and 8

1. What is the LCM of 4 and 8?

Answer: LCM of 4 and 8 is 8.

2. What are the Factors of 4?

Answer: Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.

3. What are the Factors of 8?

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

4. How to Find the LCM of 4 and 8?

Answer:

Least Common Multiple of 4 and 8 = 8

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 8

8 = 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 = 8 = 2 x 2 x 2

Step 4: Therefore, the least common multiple of 4 and 8 is 8.