Least Common Multiple of 3073 and 3077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3073 and 3077 the smallest integer that is 9455621 that is divisible by both numbers.

Least Common Multiple (LCM) of 3073 and 3077 is 9455621.

LCM(3073,3077) = 9455621

LCM of 3073 and 3077

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

LCM of:
and

Least Common Multiple of 3073 and 3077

LCM of 3073 and 3077 is 9455621

Least common multiple can be found by multiplying the highest exponent prime factors of 3073 and 3077. First we will calculate the prime factors of 3073 and 3077.

Prime Factorization of 3073


7 3073
439 439
1

Prime factors of 3073 are 7,439. Prime factorization of 3073 in exponential form is:

3073 = 71×4391

Prime Factorization of 3077


17 3077
181 181
1

Prime factors of 3077 are 17,181. Prime factorization of 3077 in exponential form is:

3077 = 171×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3073 and 3077.

LCM(3073,3077) = 71×171×1811×4391
LCM(3073,3077) = 9455621

Factors of 3073

List of positive integer factors of 3073 that divides 3073 without a remainder.

1, 7, 439, 3073

Factors of 3077

List of positive integer factors of 3077 that divides 3077 without a remainder.

1, 17, 181, 3077

Least Common Multiple of 3073 and 3077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3073 and 3077, than apply into the LCM equation.

GCF(3073,3077) = 1
LCM(3073,3077) = ( 3073 × 3077) / 1
LCM(3073,3077) = 9455621 / 1
LCM(3073,3077) = 9455621

Properties of LCM 3073 and 3077

(i) The LCM of 3077 and 3073 is associative

LCM of 3073 and 3077 = LCM of 3077 and 3073

Related Least Common Multiples of 3073

Related Least Common Multiples of 3077

Frequently Asked Questions on LCM of 3073 and 3077

1. What is the LCM of 3073 and 3077?

Answer: LCM of 3073 and 3077 is 9455621.

2. What are the Factors of 3073?

Answer: Factors of 3073 are 1, 7, 439, 3073. There are 4 integers that are factors of 3073. The greatest factor of 3073 is 3073.

3. What are the Factors of 3077?

Answer: Factors of 3077 are 1, 17, 181, 3077. There are 4 integers that are factors of 3077. The greatest factor of 3077 is 3077.

4. How to Find the LCM of 3073 and 3077?

Answer:

Least Common Multiple of 3073 and 3077 = 9455621

Step 1: Find the prime factorization of 3073

3073 = 7 x 439

Step 2: Find the prime factorization of 3077

3077 = 17 x 181

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

LCM = 9455621 = 7 x 17 x 181 x 439

Step 4: Therefore, the least common multiple of 3073 and 3077 is 9455621.