Least Common Multiple of 4 and 24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4 and 24 the smallest integer that is 24 that is divisible by both numbers.

Least Common Multiple (LCM) of 4 and 24 is 24.

LCM(4,24) = 24

LCM of 4 and 24

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

LCM of:
and

Least Common Multiple of 4 and 24

LCM of 4 and 24 is 24

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 24. First we will calculate the prime factors of 4 and 24.

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 24


2 24
2 12
2 6
3 3
1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 24.

LCM(4,24) = 23×31
LCM(4,24) = 24

Factors of 4

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

1, 2, 4

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Least Common Multiple of 4 and 24 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 24, than apply into the LCM equation.

GCF(4,24) = 4
LCM(4,24) = ( 4 × 24) / 4
LCM(4,24) = 96 / 4
LCM(4,24) = 24

Properties of LCM 4 and 24

(i) The LCM of 24 and 4 is associative

LCM of 4 and 24 = LCM of 24 and 4

Related Least Common Multiples of 4

Related Least Common Multiples of 24

Frequently Asked Questions on LCM of 4 and 24

1. What is the LCM of 4 and 24?

Answer: LCM of 4 and 24 is 24.

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 24?

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

4. How to Find the LCM of 4 and 24?

Answer:

Least Common Multiple of 4 and 24 = 24

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

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

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least common multiple of 4 and 24 is 24.