Least Common Multiple of 4066 and 4074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4066 and 4074 the smallest integer that is 8282442 that is divisible by both numbers.

Least Common Multiple (LCM) of 4066 and 4074 is 8282442.

LCM(4066,4074) = 8282442

LCM of 4066 and 4074

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

LCM of:
and

Least Common Multiple of 4066 and 4074

LCM of 4066 and 4074 is 8282442

Least common multiple can be found by multiplying the highest exponent prime factors of 4066 and 4074. First we will calculate the prime factors of 4066 and 4074.

Prime Factorization of 4066


2 4066
19 2033
107 107
1

Prime factors of 4066 are 2, 19,107. Prime factorization of 4066 in exponential form is:

4066 = 21×191×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4066 and 4074.

LCM(4066,4074) = 21×31×71×191×971×1071
LCM(4066,4074) = 8282442

Factors of 4066

List of positive integer factors of 4066 that divides 4066 without a remainder.

1, 2, 19, 38, 107, 214, 2033, 4066

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

Least Common Multiple of 4066 and 4074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4066 and 4074, than apply into the LCM equation.

GCF(4066,4074) = 2
LCM(4066,4074) = ( 4066 × 4074) / 2
LCM(4066,4074) = 16564884 / 2
LCM(4066,4074) = 8282442

Properties of LCM 4066 and 4074

(i) The LCM of 4074 and 4066 is associative

LCM of 4066 and 4074 = LCM of 4074 and 4066

Related Least Common Multiples of 4066

Related Least Common Multiples of 4074

Frequently Asked Questions on LCM of 4066 and 4074

1. What is the LCM of 4066 and 4074?

Answer: LCM of 4066 and 4074 is 8282442.

2. What are the Factors of 4066?

Answer: Factors of 4066 are 1, 2, 19, 38, 107, 214, 2033, 4066. There are 8 integers that are factors of 4066. The greatest factor of 4066 is 4066.

3. 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.

4. How to Find the LCM of 4066 and 4074?

Answer:

Least Common Multiple of 4066 and 4074 = 8282442

Step 1: Find the prime factorization of 4066

4066 = 2 x 19 x 107

Step 2: Find the prime factorization of 4074

4074 = 2 x 3 x 7 x 97

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

LCM = 8282442 = 2 x 3 x 7 x 19 x 97 x 107

Step 4: Therefore, the least common multiple of 4066 and 4074 is 8282442.