Least Common Multiple of 4071 and 4079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4071 and 4079 the smallest integer that is 16605609 that is divisible by both numbers.

Least Common Multiple (LCM) of 4071 and 4079 is 16605609.

LCM(4071,4079) = 16605609

LCM of 4071 and 4079

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

LCM of:
and

Least Common Multiple of 4071 and 4079

LCM of 4071 and 4079 is 16605609

Least common multiple can be found by multiplying the highest exponent prime factors of 4071 and 4079. First we will calculate the prime factors of 4071 and 4079.

Prime Factorization of 4071


3 4071
23 1357
59 59
1

Prime factors of 4071 are 3, 23,59. Prime factorization of 4071 in exponential form is:

4071 = 31×231×591

Prime Factorization of 4079


4079 4079
1

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

4079 = 40791

Now multiplying the highest exponent prime factors to calculate the LCM of 4071 and 4079.

LCM(4071,4079) = 31×231×591×40791
LCM(4071,4079) = 16605609

Factors of 4071

List of positive integer factors of 4071 that divides 4071 without a remainder.

1, 3, 23, 59, 69, 177, 1357, 4071

Factors of 4079

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

1, 4079

Least Common Multiple of 4071 and 4079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4071 and 4079, than apply into the LCM equation.

GCF(4071,4079) = 1
LCM(4071,4079) = ( 4071 × 4079) / 1
LCM(4071,4079) = 16605609 / 1
LCM(4071,4079) = 16605609

Properties of LCM 4071 and 4079

(i) The LCM of 4079 and 4071 is associative

LCM of 4071 and 4079 = LCM of 4079 and 4071

Related Least Common Multiples of 4071

Related Least Common Multiples of 4079

Frequently Asked Questions on LCM of 4071 and 4079

1. What is the LCM of 4071 and 4079?

Answer: LCM of 4071 and 4079 is 16605609.

2. What are the Factors of 4071?

Answer: Factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071. There are 8 integers that are factors of 4071. The greatest factor of 4071 is 4071.

3. 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.

4. How to Find the LCM of 4071 and 4079?

Answer:

Least Common Multiple of 4071 and 4079 = 16605609

Step 1: Find the prime factorization of 4071

4071 = 3 x 23 x 59

Step 2: Find the prime factorization of 4079

4079 = 4079

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

LCM = 16605609 = 3 x 23 x 59 x 4079

Step 4: Therefore, the least common multiple of 4071 and 4079 is 16605609.