Least Common Multiple of 4079 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 4079 and 4083 the smallest integer that is 16654557 that is divisible by both numbers.

Least Common Multiple (LCM) of 4079 and 4083 is 16654557.

LCM(4079,4083) = 16654557

LCM of 4079 and 4083

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

LCM of:
and

Least Common Multiple of 4079 and 4083

LCM of 4079 and 4083 is 16654557

Least common multiple can be found by multiplying the highest exponent prime factors of 4079 and 4083. First we will calculate the prime factors of 4079 and 4083.

Prime Factorization of 4079


4079 4079
1

Prime factors of 4079 are 4079. Prime factorization of 4079 in exponential form is:

4079 = 40791

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 4079 and 4083.

LCM(4079,4083) = 31×13611×40791
LCM(4079,4083) = 16654557

Factors of 4079

List of positive integer factors of 4079 that divides 4079 without a remainder.

1, 4079

Factors of 4083

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

1, 3, 1361, 4083

Least Common Multiple of 4079 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 4079 and 4083, than apply into the LCM equation.

GCF(4079,4083) = 1
LCM(4079,4083) = ( 4079 × 4083) / 1
LCM(4079,4083) = 16654557 / 1
LCM(4079,4083) = 16654557

Properties of LCM 4079 and 4083

(i) The LCM of 4083 and 4079 is associative

LCM of 4079 and 4083 = LCM of 4083 and 4079

Related Least Common Multiples of 4079

Related Least Common Multiples of 4083

Frequently Asked Questions on LCM of 4079 and 4083

1. What is the LCM of 4079 and 4083?

Answer: LCM of 4079 and 4083 is 16654557.

2. What are the Factors of 4079?

Answer: Factors of 4079 are 1, 4079. There are 2 integers that are factors of 4079. The greatest factor of 4079 is 4079.

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 4079 and 4083?

Answer:

Least Common Multiple of 4079 and 4083 = 16654557

Step 1: Find the prime factorization of 4079

4079 = 4079

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 = 16654557 = 3 x 1361 x 4079

Step 4: Therefore, the least common multiple of 4079 and 4083 is 16654557.