Least Common Multiple of 4078 and 4083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4078 and 4083 the smallest integer that is 16650474 that is divisible by both numbers.

Least Common Multiple (LCM) of 4078 and 4083 is 16650474.

LCM(4078,4083) = 16650474

LCM of 4078 and 4083

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

LCM of:
and

Least Common Multiple of 4078 and 4083

LCM of 4078 and 4083 is 16650474

Least common multiple can be found by multiplying the highest exponent prime factors of 4078 and 4083. First we will calculate the prime factors of 4078 and 4083.

Prime Factorization of 4078


2 4078
2039 2039
1

Prime factors of 4078 are 2,2039. Prime factorization of 4078 in exponential form is:

4078 = 21×20391

Prime Factorization of 4083


3 4083
1361 1361
1

Prime factors of 4083 are 3,1361. Prime factorization of 4083 in exponential form is:

4083 = 31×13611

Now multiplying the highest exponent prime factors to calculate the LCM of 4078 and 4083.

LCM(4078,4083) = 21×31×13611×20391
LCM(4078,4083) = 16650474

Factors of 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1, 2, 2039, 4078

Factors of 4083

List of positive integer factors of 4083 that divides 4083 without a remainder.

1, 3, 1361, 4083

Least Common Multiple of 4078 and 4083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4078 and 4083, than apply into the LCM equation.

GCF(4078,4083) = 1
LCM(4078,4083) = ( 4078 × 4083) / 1
LCM(4078,4083) = 16650474 / 1
LCM(4078,4083) = 16650474

Properties of LCM 4078 and 4083

(i) The LCM of 4083 and 4078 is associative

LCM of 4078 and 4083 = LCM of 4083 and 4078

Related Least Common Multiples of 4078

Related Least Common Multiples of 4083

Frequently Asked Questions on LCM of 4078 and 4083

1. What is the LCM of 4078 and 4083?

Answer: LCM of 4078 and 4083 is 16650474.

2. What are the Factors of 4078?

Answer: Factors of 4078 are 1, 2, 2039, 4078. There are 4 integers that are factors of 4078. The greatest factor of 4078 is 4078.

3. What are the Factors of 4083?

Answer: Factors of 4083 are 1, 3, 1361, 4083. There are 4 integers that are factors of 4083. The greatest factor of 4083 is 4083.

4. How to Find the LCM of 4078 and 4083?

Answer:

Least Common Multiple of 4078 and 4083 = 16650474

Step 1: Find the prime factorization of 4078

4078 = 2 x 2039

Step 2: Find the prime factorization of 4083

4083 = 3 x 1361

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

LCM = 16650474 = 2 x 3 x 1361 x 2039

Step 4: Therefore, the least common multiple of 4078 and 4083 is 16650474.