Least Common Multiple of 8413 and 8419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8413 and 8419 the smallest integer that is 70829047 that is divisible by both numbers.

Least Common Multiple (LCM) of 8413 and 8419 is 70829047.

LCM(8413,8419) = 70829047

LCM of 8413 and 8419

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

LCM of:
and

Least Common Multiple of 8413 and 8419

LCM of 8413 and 8419 is 70829047

Least common multiple can be found by multiplying the highest exponent prime factors of 8413 and 8419. First we will calculate the prime factors of 8413 and 8419.

Prime Factorization of 8413


47 8413
179 179
1

Prime factors of 8413 are 47,179. Prime factorization of 8413 in exponential form is:

8413 = 471×1791

Prime Factorization of 8419


8419 8419
1

Prime factors of 8419 are 8419. Prime factorization of 8419 in exponential form is:

8419 = 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 8413 and 8419.

LCM(8413,8419) = 471×1791×84191
LCM(8413,8419) = 70829047

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1, 47, 179, 8413

Factors of 8419

List of positive integer factors of 8419 that divides 8419 without a remainder.

1, 8419

Least Common Multiple of 8413 and 8419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8413 and 8419, than apply into the LCM equation.

GCF(8413,8419) = 1
LCM(8413,8419) = ( 8413 × 8419) / 1
LCM(8413,8419) = 70829047 / 1
LCM(8413,8419) = 70829047

Properties of LCM 8413 and 8419

(i) The LCM of 8419 and 8413 is associative

LCM of 8413 and 8419 = LCM of 8419 and 8413

Related Least Common Multiples of 8413

Related Least Common Multiples of 8419

Frequently Asked Questions on LCM of 8413 and 8419

1. What is the LCM of 8413 and 8419?

Answer: LCM of 8413 and 8419 is 70829047.

2. What are the Factors of 8413?

Answer: Factors of 8413 are 1, 47, 179, 8413. There are 4 integers that are factors of 8413. The greatest factor of 8413 is 8413.

3. What are the Factors of 8419?

Answer: Factors of 8419 are 1, 8419. There are 2 integers that are factors of 8419. The greatest factor of 8419 is 8419.

4. How to Find the LCM of 8413 and 8419?

Answer:

Least Common Multiple of 8413 and 8419 = 70829047

Step 1: Find the prime factorization of 8413

8413 = 47 x 179

Step 2: Find the prime factorization of 8419

8419 = 8419

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

LCM = 70829047 = 47 x 179 x 8419

Step 4: Therefore, the least common multiple of 8413 and 8419 is 70829047.