Least Common Multiple of 4 and 63

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

• Least Common Multiple of 4 and 63 by Prime method
• Least Common Multiple of 4 and 63 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 63. First we will calculate the prime factors of 4 and 63.

Prime Factorization of 4

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

4 = 2²

Prime Factorization of 63

Prime factors of 63 are 3,7. Prime factorization of 63 in exponential form is:

63 = 3²×7¹

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 63.

LCM(4,63) = 2²×3²×7¹
LCM(4,63) = 252

Factors of 4

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

1, 2, 4

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4 and 63, than apply into the LCM equation.

GCF(4,63) = 1
LCM(4,63) = ( 4 × 63) / 1
LCM(4,63) = 252 / 1
LCM(4,63) = 252

(i) The LCM of 63 and 4 is associative

LCM of 4 and 63 = LCM of 63 and 4

1. What is the LCM of 4 and 63?

Answer: LCM of 4 and 63 is 252.

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 63?

Answer: Factors of 63 are 1, 3, 7, 9, 21, 63. There are 6 integers that are factors of 63. The greatest factor of 63 is 63.

4. How to Find the LCM of 4 and 63?

Answer:

Least Common Multiple of 4 and 63 = 252

Step 1: Find the prime factorization of 4

4 = 2 x 2

Step 2: Find the prime factorization of 63

63 = 3 x 3 x 7

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

LCM = 252 = 2 x 2 x 3 x 3 x 7

Step 4: Therefore, the least common multiple of 4 and 63 is 252.