Least Common Multiple of 82387 and 82393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 82387 and 82393 the smallest integer that is 6788112091 that is divisible by both numbers.

Least Common Multiple (LCM) of 82387 and 82393 is 6788112091.

LCM(82387,82393) = 6788112091

LCM of 82387 and 82393

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

LCM of:
and

Least Common Multiple of 82387 and 82393

LCM of 82387 and 82393 is 6788112091

Least common multiple can be found by multiplying the highest exponent prime factors of 82387 and 82393. First we will calculate the prime factors of 82387 and 82393.

Prime Factorization of 82387


82387 82387
1

Prime factors of 82387 are 82387. Prime factorization of 82387 in exponential form is:

82387 = 823871

Prime Factorization of 82393


82393 82393
1

Prime factors of 82393 are 82393. Prime factorization of 82393 in exponential form is:

82393 = 823931

Now multiplying the highest exponent prime factors to calculate the LCM of 82387 and 82393.

LCM(82387,82393) = 823871×823931
LCM(82387,82393) = 6788112091

Factors of 82387

List of positive integer factors of 82387 that divides 82387 without a remainder.

1, 82387

Factors of 82393

List of positive integer factors of 82393 that divides 82393 without a remainder.

1, 82393

Least Common Multiple of 82387 and 82393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82387 and 82393, than apply into the LCM equation.

GCF(82387,82393) = 1
LCM(82387,82393) = ( 82387 × 82393) / 1
LCM(82387,82393) = 6788112091 / 1
LCM(82387,82393) = 6788112091

Properties of LCM 82387 and 82393

(i) The LCM of 82393 and 82387 is associative

LCM of 82387 and 82393 = LCM of 82393 and 82387

Related Least Common Multiples of 82387

Related Least Common Multiples of 82393

Frequently Asked Questions on LCM of 82387 and 82393

1. What is the LCM of 82387 and 82393?

Answer: LCM of 82387 and 82393 is 6788112091.

2. What are the Factors of 82387?

Answer: Factors of 82387 are 1, 82387. There are 2 integers that are factors of 82387. The greatest factor of 82387 is 82387.

3. What are the Factors of 82393?

Answer: Factors of 82393 are 1, 82393. There are 2 integers that are factors of 82393. The greatest factor of 82393 is 82393.

4. How to Find the LCM of 82387 and 82393?

Answer:

Least Common Multiple of 82387 and 82393 = 6788112091

Step 1: Find the prime factorization of 82387

82387 = 82387

Step 2: Find the prime factorization of 82393

82393 = 82393

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

LCM = 6788112091 = 82387 x 82393

Step 4: Therefore, the least common multiple of 82387 and 82393 is 6788112091.