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 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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 8 and 4 is associative
LCM of 4 and 8 = LCM of 8 and 4
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.