Least Common Multiple of 9414 and 9415

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 9415 the smallest integer that is 88632810 that is divisible by both numbers.

Least Common Multiple (LCM) of 9414 and 9415 is 88632810.

LCM(9414,9415) = 88632810

LCM of 9414 and 9415

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

LCM of:
and

Least Common Multiple of 9414 and 9415

LCM of 9414 and 9415 is 88632810

Least common multiple can be found by multiplying the highest exponent prime factors of 9414 and 9415. First we will calculate the prime factors of 9414 and 9415.

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 9415


5 9415
7 1883
269 269
1

Prime factors of 9415 are 5, 7,269. Prime factorization of 9415 in exponential form is:

9415 = 51×71×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 9414 and 9415.

LCM(9414,9415) = 21×32×51×71×2691×5231
LCM(9414,9415) = 88632810

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 9415

List of positive integer factors of 9415 that divides 9415 without a remainder.

1, 5, 7, 35, 269, 1345, 1883, 9415

Least Common Multiple of 9414 and 9415 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 9415, than apply into the LCM equation.

GCF(9414,9415) = 1
LCM(9414,9415) = ( 9414 × 9415) / 1
LCM(9414,9415) = 88632810 / 1
LCM(9414,9415) = 88632810

Properties of LCM 9414 and 9415

(i) The LCM of 9415 and 9414 is associative

LCM of 9414 and 9415 = LCM of 9415 and 9414

Related Least Common Multiples of 9414

Related Least Common Multiples of 9415

Frequently Asked Questions on LCM of 9414 and 9415

1. What is the LCM of 9414 and 9415?

Answer: LCM of 9414 and 9415 is 88632810.

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 9415?

Answer: Factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415. There are 8 integers that are factors of 9415. The greatest factor of 9415 is 9415.

4. How to Find the LCM of 9414 and 9415?

Answer:

Least Common Multiple of 9414 and 9415 = 88632810

Step 1: Find the prime factorization of 9414

9414 = 2 x 3 x 3 x 523

Step 2: Find the prime factorization of 9415

9415 = 5 x 7 x 269

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

LCM = 88632810 = 2 x 3 x 3 x 5 x 7 x 269 x 523

Step 4: Therefore, the least common multiple of 9414 and 9415 is 88632810.