Least Common Multiple of 6071 and 6077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6071 and 6077 the smallest integer that is 36893467 that is divisible by both numbers.

Least Common Multiple (LCM) of 6071 and 6077 is 36893467.

LCM(6071,6077) = 36893467

LCM of 6071 and 6077

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

LCM of:
and

Least Common Multiple of 6071 and 6077

LCM of 6071 and 6077 is 36893467

Least common multiple can be found by multiplying the highest exponent prime factors of 6071 and 6077. First we will calculate the prime factors of 6071 and 6077.

Prime Factorization of 6071


13 6071
467 467
1

Prime factors of 6071 are 13,467. Prime factorization of 6071 in exponential form is:

6071 = 131×4671

Prime Factorization of 6077


59 6077
103 103
1

Prime factors of 6077 are 59,103. Prime factorization of 6077 in exponential form is:

6077 = 591×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6071 and 6077.

LCM(6071,6077) = 131×591×1031×4671
LCM(6071,6077) = 36893467

Factors of 6071

List of positive integer factors of 6071 that divides 6071 without a remainder.

1, 13, 467, 6071

Factors of 6077

List of positive integer factors of 6077 that divides 6077 without a remainder.

1, 59, 103, 6077

Least Common Multiple of 6071 and 6077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6071 and 6077, than apply into the LCM equation.

GCF(6071,6077) = 1
LCM(6071,6077) = ( 6071 × 6077) / 1
LCM(6071,6077) = 36893467 / 1
LCM(6071,6077) = 36893467

Properties of LCM 6071 and 6077

(i) The LCM of 6077 and 6071 is associative

LCM of 6071 and 6077 = LCM of 6077 and 6071

Related Least Common Multiples of 6071

Related Least Common Multiples of 6077

Frequently Asked Questions on LCM of 6071 and 6077

1. What is the LCM of 6071 and 6077?

Answer: LCM of 6071 and 6077 is 36893467.

2. What are the Factors of 6071?

Answer: Factors of 6071 are 1, 13, 467, 6071. There are 4 integers that are factors of 6071. The greatest factor of 6071 is 6071.

3. What are the Factors of 6077?

Answer: Factors of 6077 are 1, 59, 103, 6077. There are 4 integers that are factors of 6077. The greatest factor of 6077 is 6077.

4. How to Find the LCM of 6071 and 6077?

Answer:

Least Common Multiple of 6071 and 6077 = 36893467

Step 1: Find the prime factorization of 6071

6071 = 13 x 467

Step 2: Find the prime factorization of 6077

6077 = 59 x 103

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

LCM = 36893467 = 13 x 59 x 103 x 467

Step 4: Therefore, the least common multiple of 6071 and 6077 is 36893467.