Least Common Multiple of 4074 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 4074 and 4079 the smallest integer that is 16617846 that is divisible by both numbers.

Least Common Multiple (LCM) of 4074 and 4079 is 16617846.

LCM(4074,4079) = 16617846

LCM of 4074 and 4079

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

LCM of:
and

Least Common Multiple of 4074 and 4079

LCM of 4074 and 4079 is 16617846

Least common multiple can be found by multiplying the highest exponent prime factors of 4074 and 4079. First we will calculate the prime factors of 4074 and 4079.

Prime Factorization of 4074


2 4074
3 2037
7 679
97 97
1

Prime factors of 4074 are 2, 3, 7,97. Prime factorization of 4074 in exponential form is:

4074 = 21×31×71×971

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 4074 and 4079.

LCM(4074,4079) = 21×31×71×971×40791
LCM(4074,4079) = 16617846

Factors of 4074

List of positive integer factors of 4074 that divides 4074 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074

Factors of 4079

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

1, 4079

Least Common Multiple of 4074 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 4074 and 4079, than apply into the LCM equation.

GCF(4074,4079) = 1
LCM(4074,4079) = ( 4074 × 4079) / 1
LCM(4074,4079) = 16617846 / 1
LCM(4074,4079) = 16617846

Properties of LCM 4074 and 4079

(i) The LCM of 4079 and 4074 is associative

LCM of 4074 and 4079 = LCM of 4079 and 4074

Related Least Common Multiples of 4074

Related Least Common Multiples of 4079

Frequently Asked Questions on LCM of 4074 and 4079

1. What is the LCM of 4074 and 4079?

Answer: LCM of 4074 and 4079 is 16617846.

2. What are the Factors of 4074?

Answer: Factors of 4074 are 1, 2, 3, 6, 7, 14, 21, 42, 97, 194, 291, 582, 679, 1358, 2037, 4074. There are 16 integers that are factors of 4074. The greatest factor of 4074 is 4074.

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 4074 and 4079?

Answer:

Least Common Multiple of 4074 and 4079 = 16617846

Step 1: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

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 = 16617846 = 2 x 3 x 7 x 97 x 4079

Step 4: Therefore, the least common multiple of 4074 and 4079 is 16617846.