Least Common Multiple of 8419 and 8424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8419 and 8424 the smallest integer that is 70921656 that is divisible by both numbers.

Least Common Multiple (LCM) of 8419 and 8424 is 70921656.

LCM(8419,8424) = 70921656

LCM of 8419 and 8424

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

LCM of:
and

Least Common Multiple of 8419 and 8424

LCM of 8419 and 8424 is 70921656

Least common multiple can be found by multiplying the highest exponent prime factors of 8419 and 8424. First we will calculate the prime factors of 8419 and 8424.

Prime Factorization of 8419


8419 8419
1

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

8419 = 84191

Prime Factorization of 8424


2 8424
2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 8424 are 2, 3,13. Prime factorization of 8424 in exponential form is:

8424 = 23×34×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8419 and 8424.

LCM(8419,8424) = 23×34×131×84191
LCM(8419,8424) = 70921656

Factors of 8419

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

1, 8419

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424

Least Common Multiple of 8419 and 8424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8419 and 8424, than apply into the LCM equation.

GCF(8419,8424) = 1
LCM(8419,8424) = ( 8419 × 8424) / 1
LCM(8419,8424) = 70921656 / 1
LCM(8419,8424) = 70921656

Properties of LCM 8419 and 8424

(i) The LCM of 8424 and 8419 is associative

LCM of 8419 and 8424 = LCM of 8424 and 8419

Related Least Common Multiples of 8419

Related Least Common Multiples of 8424

Frequently Asked Questions on LCM of 8419 and 8424

1. What is the LCM of 8419 and 8424?

Answer: LCM of 8419 and 8424 is 70921656.

2. 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.

3. What are the Factors of 8424?

Answer: Factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424. There are 40 integers that are factors of 8424. The greatest factor of 8424 is 8424.

4. How to Find the LCM of 8419 and 8424?

Answer:

Least Common Multiple of 8419 and 8424 = 70921656

Step 1: Find the prime factorization of 8419

8419 = 8419

Step 2: Find the prime factorization of 8424

8424 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13

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

LCM = 70921656 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13 x 8419

Step 4: Therefore, the least common multiple of 8419 and 8424 is 70921656.