Least Common Multiple of 6073 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 6073 and 6074 the smallest integer that is 36887402 that is divisible by both numbers.

Least Common Multiple (LCM) of 6073 and 6074 is 36887402.

LCM(6073,6074) = 36887402

LCM of 6073 and 6074

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

LCM of:
and

Least Common Multiple of 6073 and 6074

LCM of 6073 and 6074 is 36887402

Least common multiple can be found by multiplying the highest exponent prime factors of 6073 and 6074. First we will calculate the prime factors of 6073 and 6074.

Prime Factorization of 6073


6073 6073
1

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

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 6073 and 6074.

LCM(6073,6074) = 21×30371×60731
LCM(6073,6074) = 36887402

Factors of 6073

List of positive integer factors of 6073 that divides 6073 without a remainder.

1, 6073

Factors of 6074

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

1, 2, 3037, 6074

Least Common Multiple of 6073 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 6073 and 6074, than apply into the LCM equation.

GCF(6073,6074) = 1
LCM(6073,6074) = ( 6073 × 6074) / 1
LCM(6073,6074) = 36887402 / 1
LCM(6073,6074) = 36887402

Properties of LCM 6073 and 6074

(i) The LCM of 6074 and 6073 is associative

LCM of 6073 and 6074 = LCM of 6074 and 6073

Related Least Common Multiples of 6073

Related Least Common Multiples of 6074

Frequently Asked Questions on LCM of 6073 and 6074

1. What is the LCM of 6073 and 6074?

Answer: LCM of 6073 and 6074 is 36887402.

2. What are the Factors of 6073?

Answer: Factors of 6073 are 1, 6073. There are 2 integers that are factors of 6073. The greatest factor of 6073 is 6073.

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 6073 and 6074?

Answer:

Least Common Multiple of 6073 and 6074 = 36887402

Step 1: Find the prime factorization of 6073

6073 = 6073

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 = 36887402 = 2 x 3037 x 6073

Step 4: Therefore, the least common multiple of 6073 and 6074 is 36887402.