Least Common Multiple of 8407 and 8411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8407 and 8411 the smallest integer that is 70711277 that is divisible by both numbers.

Least Common Multiple (LCM) of 8407 and 8411 is 70711277.

LCM(8407,8411) = 70711277

LCM of 8407 and 8411

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

LCM of:
and

Least Common Multiple of 8407 and 8411

LCM of 8407 and 8411 is 70711277

Least common multiple can be found by multiplying the highest exponent prime factors of 8407 and 8411. First we will calculate the prime factors of 8407 and 8411.

Prime Factorization of 8407


7 8407
1201 1201
1

Prime factors of 8407 are 7,1201. Prime factorization of 8407 in exponential form is:

8407 = 71×12011

Prime Factorization of 8411


13 8411
647 647
1

Prime factors of 8411 are 13,647. Prime factorization of 8411 in exponential form is:

8411 = 131×6471

Now multiplying the highest exponent prime factors to calculate the LCM of 8407 and 8411.

LCM(8407,8411) = 71×131×6471×12011
LCM(8407,8411) = 70711277

Factors of 8407

List of positive integer factors of 8407 that divides 8407 without a remainder.

1, 7, 1201, 8407

Factors of 8411

List of positive integer factors of 8411 that divides 8411 without a remainder.

1, 13, 647, 8411

Least Common Multiple of 8407 and 8411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8407 and 8411, than apply into the LCM equation.

GCF(8407,8411) = 1
LCM(8407,8411) = ( 8407 × 8411) / 1
LCM(8407,8411) = 70711277 / 1
LCM(8407,8411) = 70711277

Properties of LCM 8407 and 8411

(i) The LCM of 8411 and 8407 is associative

LCM of 8407 and 8411 = LCM of 8411 and 8407

Related Least Common Multiples of 8407

Related Least Common Multiples of 8411

Frequently Asked Questions on LCM of 8407 and 8411

1. What is the LCM of 8407 and 8411?

Answer: LCM of 8407 and 8411 is 70711277.

2. What are the Factors of 8407?

Answer: Factors of 8407 are 1, 7, 1201, 8407. There are 4 integers that are factors of 8407. The greatest factor of 8407 is 8407.

3. What are the Factors of 8411?

Answer: Factors of 8411 are 1, 13, 647, 8411. There are 4 integers that are factors of 8411. The greatest factor of 8411 is 8411.

4. How to Find the LCM of 8407 and 8411?

Answer:

Least Common Multiple of 8407 and 8411 = 70711277

Step 1: Find the prime factorization of 8407

8407 = 7 x 1201

Step 2: Find the prime factorization of 8411

8411 = 13 x 647

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

LCM = 70711277 = 7 x 13 x 647 x 1201

Step 4: Therefore, the least common multiple of 8407 and 8411 is 70711277.