Least Common Multiple of 4118 and 4123

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

• Least Common Multiple of 4118 and 4123 by Prime method
• Least Common Multiple of 4118 and 4123 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 4118 and 4123. First we will calculate the prime factors of 4118 and 4123.

Prime Factorization of 4118

Prime factors of 4118 are 2, 29,71. Prime factorization of 4118 in exponential form is:

4118 = 2¹×29¹×71¹

Prime Factorization of 4123

Prime factors of 4123 are 7, 19,31. Prime factorization of 4123 in exponential form is:

4123 = 7¹×19¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 4118 and 4123.

LCM(4118,4123) = 2¹×7¹×19¹×29¹×31¹×71¹
LCM(4118,4123) = 16978514

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1, 2, 29, 58, 71, 142, 2059, 4118

Factors of 4123

List of positive integer factors of 4123 that divides 4123 without a remainder.

1, 7, 19, 31, 133, 217, 589, 4123

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4118 and 4123, than apply into the LCM equation.

GCF(4118,4123) = 1
LCM(4118,4123) = ( 4118 × 4123) / 1
LCM(4118,4123) = 16978514 / 1
LCM(4118,4123) = 16978514

(i) The LCM of 4123 and 4118 is associative

LCM of 4118 and 4123 = LCM of 4123 and 4118

1. What is the LCM of 4118 and 4123?

Answer: LCM of 4118 and 4123 is 16978514.

2. What are the Factors of 4118?

Answer: Factors of 4118 are 1, 2, 29, 58, 71, 142, 2059, 4118. There are 8 integers that are factors of 4118. The greatest factor of 4118 is 4118.

3. What are the Factors of 4123?

Answer: Factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123. There are 8 integers that are factors of 4123. The greatest factor of 4123 is 4123.

4. How to Find the LCM of 4118 and 4123?

Answer:

Least Common Multiple of 4118 and 4123 = 16978514

Step 1: Find the prime factorization of 4118

4118 = 2 x 29 x 71

Step 2: Find the prime factorization of 4123

4123 = 7 x 19 x 31

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

LCM = 16978514 = 2 x 7 x 19 x 29 x 31 x 71

Step 4: Therefore, the least common multiple of 4118 and 4123 is 16978514.