Least Common Multiple of 6067 and 6074

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6067 and 6074 the smallest integer that is 36850958 that is divisible by both numbers.

Least Common Multiple (LCM) of 6067 and 6074 is 36850958.

LCM(6067,6074) = 36850958

LCM of 6067 and 6074

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

LCM of:
and

Least Common Multiple of 6067 and 6074

LCM of 6067 and 6074 is 36850958

Least common multiple can be found by multiplying the highest exponent prime factors of 6067 and 6074. First we will calculate the prime factors of 6067 and 6074.

Prime Factorization of 6067


6067 6067
1

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 60671

Prime Factorization of 6074


2 6074
3037 3037
1

Prime factors of 6074 are 2,3037. Prime factorization of 6074 in exponential form is:

6074 = 21×30371

Now multiplying the highest exponent prime factors to calculate the LCM of 6067 and 6074.

LCM(6067,6074) = 21×30371×60671
LCM(6067,6074) = 36850958

Factors of 6067

List of positive integer factors of 6067 that divides 6067 without a remainder.

1, 6067

Factors of 6074

List of positive integer factors of 6074 that divides 6074 without a remainder.

1, 2, 3037, 6074

Least Common Multiple of 6067 and 6074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6067 and 6074, than apply into the LCM equation.

GCF(6067,6074) = 1
LCM(6067,6074) = ( 6067 × 6074) / 1
LCM(6067,6074) = 36850958 / 1
LCM(6067,6074) = 36850958

Properties of LCM 6067 and 6074

(i) The LCM of 6074 and 6067 is associative

LCM of 6067 and 6074 = LCM of 6074 and 6067

Related Least Common Multiples of 6067

Related Least Common Multiples of 6074

Frequently Asked Questions on LCM of 6067 and 6074

1. What is the LCM of 6067 and 6074?

Answer: LCM of 6067 and 6074 is 36850958.

2. What are the Factors of 6067?

Answer: Factors of 6067 are 1, 6067. There are 2 integers that are factors of 6067. The greatest factor of 6067 is 6067.

3. What are the Factors of 6074?

Answer: Factors of 6074 are 1, 2, 3037, 6074. There are 4 integers that are factors of 6074. The greatest factor of 6074 is 6074.

4. How to Find the LCM of 6067 and 6074?

Answer:

Least Common Multiple of 6067 and 6074 = 36850958

Step 1: Find the prime factorization of 6067

6067 = 6067

Step 2: Find the prime factorization of 6074

6074 = 2 x 3037

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

LCM = 36850958 = 2 x 3037 x 6067

Step 4: Therefore, the least common multiple of 6067 and 6074 is 36850958.