Least Common Multiple of 9414 and 9419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9414 and 9419 the smallest integer that is 88670466 that is divisible by both numbers.

Least Common Multiple (LCM) of 9414 and 9419 is 88670466.

LCM(9414,9419) = 88670466

LCM of 9414 and 9419

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

LCM of:
and

Least Common Multiple of 9414 and 9419

LCM of 9414 and 9419 is 88670466

Least common multiple can be found by multiplying the highest exponent prime factors of 9414 and 9419. First we will calculate the prime factors of 9414 and 9419.

Prime Factorization of 9414


2 9414
3 4707
3 1569
523 523
1

Prime factors of 9414 are 2, 3,523. Prime factorization of 9414 in exponential form is:

9414 = 21×32×5231

Prime Factorization of 9419


9419 9419
1

Prime factors of 9419 are 9419. Prime factorization of 9419 in exponential form is:

9419 = 94191

Now multiplying the highest exponent prime factors to calculate the LCM of 9414 and 9419.

LCM(9414,9419) = 21×32×5231×94191
LCM(9414,9419) = 88670466

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414

Factors of 9419

List of positive integer factors of 9419 that divides 9419 without a remainder.

1, 9419

Least Common Multiple of 9414 and 9419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9414 and 9419, than apply into the LCM equation.

GCF(9414,9419) = 1
LCM(9414,9419) = ( 9414 × 9419) / 1
LCM(9414,9419) = 88670466 / 1
LCM(9414,9419) = 88670466

Properties of LCM 9414 and 9419

(i) The LCM of 9419 and 9414 is associative

LCM of 9414 and 9419 = LCM of 9419 and 9414

Related Least Common Multiples of 9414

Related Least Common Multiples of 9419

Frequently Asked Questions on LCM of 9414 and 9419

1. What is the LCM of 9414 and 9419?

Answer: LCM of 9414 and 9419 is 88670466.

2. What are the Factors of 9414?

Answer: Factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414. There are 12 integers that are factors of 9414. The greatest factor of 9414 is 9414.

3. What are the Factors of 9419?

Answer: Factors of 9419 are 1, 9419. There are 2 integers that are factors of 9419. The greatest factor of 9419 is 9419.

4. How to Find the LCM of 9414 and 9419?

Answer:

Least Common Multiple of 9414 and 9419 = 88670466

Step 1: Find the prime factorization of 9414

9414 = 2 x 3 x 3 x 523

Step 2: Find the prime factorization of 9419

9419 = 9419

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

LCM = 88670466 = 2 x 3 x 3 x 523 x 9419

Step 4: Therefore, the least common multiple of 9414 and 9419 is 88670466.