Least Common Multiple of 48 and 8

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 48 and 8 the smallest integer that is 48 that is divisible by both numbers.

Least Common Multiple (LCM) of 48 and 8 is 48.

LCM(48,8) = 48

LCM of 48 and 8

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

LCM of:
and

Least Common Multiple of 48 and 8

LCM of 48 and 8 is 48

Least common multiple can be found by multiplying the highest exponent prime factors of 48 and 8. First we will calculate the prime factors of 48 and 8.

Prime Factorization of 48


2 48
2 24
2 12
2 6
3 3
1

Prime factors of 48 are 2,3. Prime factorization of 48 in exponential form is:

48 = 24×31

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 48 and 8.

LCM(48,8) = 24×31
LCM(48,8) = 48

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 8

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

1, 2, 4, 8

Least Common Multiple of 48 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 48 and 8, than apply into the LCM equation.

GCF(48,8) = 8
LCM(48,8) = ( 48 × 8) / 8
LCM(48,8) = 384 / 8
LCM(48,8) = 48

Properties of LCM 48 and 8

(i) The LCM of 8 and 48 is associative

LCM of 48 and 8 = LCM of 8 and 48

Related Least Common Multiples of 48

Related Least Common Multiples of 8

Frequently Asked Questions on LCM of 48 and 8

1. What is the LCM of 48 and 8?

Answer: LCM of 48 and 8 is 48.

2. What are the Factors of 48?

Answer: Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. There are 10 integers that are factors of 48. The greatest factor of 48 is 48.

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 48 and 8?

Answer:

Least Common Multiple of 48 and 8 = 48

Step 1: Find the prime factorization of 48

48 = 2 x 2 x 2 x 2 x 3

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 = 48 = 2 x 2 x 2 x 2 x 3

Step 4: Therefore, the least common multiple of 48 and 8 is 48.