Least Common Multiple of 4067 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 4067 and 4074 the smallest integer that is 2366994 that is divisible by both numbers.

Least Common Multiple (LCM) of 4067 and 4074 is 2366994.

LCM(4067,4074) = 2366994

LCM of 4067 and 4074

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

LCM of:
and

Least Common Multiple of 4067 and 4074

LCM of 4067 and 4074 is 2366994

Least common multiple can be found by multiplying the highest exponent prime factors of 4067 and 4074. First we will calculate the prime factors of 4067 and 4074.

Prime Factorization of 4067


7 4067
7 581
83 83
1

Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:

4067 = 72×831

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 4067 and 4074.

LCM(4067,4074) = 21×31×72×831×971
LCM(4067,4074) = 2366994

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1, 7, 49, 83, 581, 4067

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 4067 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 4067 and 4074, than apply into the LCM equation.

GCF(4067,4074) = 7
LCM(4067,4074) = ( 4067 × 4074) / 7
LCM(4067,4074) = 16568958 / 7
LCM(4067,4074) = 2366994

Properties of LCM 4067 and 4074

(i) The LCM of 4074 and 4067 is associative

LCM of 4067 and 4074 = LCM of 4074 and 4067

Related Least Common Multiples of 4067

Related Least Common Multiples of 4074

Frequently Asked Questions on LCM of 4067 and 4074

1. What is the LCM of 4067 and 4074?

Answer: LCM of 4067 and 4074 is 2366994.

2. What are the Factors of 4067?

Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.

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 4067 and 4074?

Answer:

Least Common Multiple of 4067 and 4074 = 2366994

Step 1: Find the prime factorization of 4067

4067 = 7 x 7 x 83

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 = 2366994 = 2 x 3 x 7 x 7 x 83 x 97

Step 4: Therefore, the least common multiple of 4067 and 4074 is 2366994.