Least Common Multiple of 8418 and 8423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8418 and 8423 the smallest integer that is 70904814 that is divisible by both numbers.

Least Common Multiple (LCM) of 8418 and 8423 is 70904814.

LCM(8418,8423) = 70904814

LCM of 8418 and 8423

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

LCM of:
and

Least Common Multiple of 8418 and 8423

LCM of 8418 and 8423 is 70904814

Least common multiple can be found by multiplying the highest exponent prime factors of 8418 and 8423. First we will calculate the prime factors of 8418 and 8423.

Prime Factorization of 8418


2 8418
3 4209
23 1403
61 61
1

Prime factors of 8418 are 2, 3, 23,61. Prime factorization of 8418 in exponential form is:

8418 = 21×31×231×611

Prime Factorization of 8423


8423 8423
1

Prime factors of 8423 are 8423. Prime factorization of 8423 in exponential form is:

8423 = 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 8418 and 8423.

LCM(8418,8423) = 21×31×231×611×84231
LCM(8418,8423) = 70904814

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418

Factors of 8423

List of positive integer factors of 8423 that divides 8423 without a remainder.

1, 8423

Least Common Multiple of 8418 and 8423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8418 and 8423, than apply into the LCM equation.

GCF(8418,8423) = 1
LCM(8418,8423) = ( 8418 × 8423) / 1
LCM(8418,8423) = 70904814 / 1
LCM(8418,8423) = 70904814

Properties of LCM 8418 and 8423

(i) The LCM of 8423 and 8418 is associative

LCM of 8418 and 8423 = LCM of 8423 and 8418

Related Least Common Multiples of 8418

Related Least Common Multiples of 8423

Frequently Asked Questions on LCM of 8418 and 8423

1. What is the LCM of 8418 and 8423?

Answer: LCM of 8418 and 8423 is 70904814.

2. What are the Factors of 8418?

Answer: Factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418. There are 16 integers that are factors of 8418. The greatest factor of 8418 is 8418.

3. What are the Factors of 8423?

Answer: Factors of 8423 are 1, 8423. There are 2 integers that are factors of 8423. The greatest factor of 8423 is 8423.

4. How to Find the LCM of 8418 and 8423?

Answer:

Least Common Multiple of 8418 and 8423 = 70904814

Step 1: Find the prime factorization of 8418

8418 = 2 x 3 x 23 x 61

Step 2: Find the prime factorization of 8423

8423 = 8423

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

LCM = 70904814 = 2 x 3 x 23 x 61 x 8423

Step 4: Therefore, the least common multiple of 8418 and 8423 is 70904814.