Least Common Multiple of 9415 and 9420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9415 and 9420 the smallest integer that is 17737860 that is divisible by both numbers.

Least Common Multiple (LCM) of 9415 and 9420 is 17737860.

LCM(9415,9420) = 17737860

LCM of 9415 and 9420

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

LCM of:
and

Least Common Multiple of 9415 and 9420

LCM of 9415 and 9420 is 17737860

Least common multiple can be found by multiplying the highest exponent prime factors of 9415 and 9420. First we will calculate the prime factors of 9415 and 9420.

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

Prime Factorization of 9420


2 9420
2 4710
3 2355
5 785
157 157
1

Prime factors of 9420 are 2, 3, 5,157. Prime factorization of 9420 in exponential form is:

9420 = 22×31×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9415 and 9420.

LCM(9415,9420) = 22×31×51×71×1571×2691
LCM(9415,9420) = 17737860

Factors of 9415

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

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

Factors of 9420

List of positive integer factors of 9420 that divides 9420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420

Least Common Multiple of 9415 and 9420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9415 and 9420, than apply into the LCM equation.

GCF(9415,9420) = 5
LCM(9415,9420) = ( 9415 × 9420) / 5
LCM(9415,9420) = 88689300 / 5
LCM(9415,9420) = 17737860

Properties of LCM 9415 and 9420

(i) The LCM of 9420 and 9415 is associative

LCM of 9415 and 9420 = LCM of 9420 and 9415

Related Least Common Multiples of 9415

Related Least Common Multiples of 9420

Frequently Asked Questions on LCM of 9415 and 9420

1. What is the LCM of 9415 and 9420?

Answer: LCM of 9415 and 9420 is 17737860.

2. 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.

3. What are the Factors of 9420?

Answer: Factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420. There are 24 integers that are factors of 9420. The greatest factor of 9420 is 9420.

4. How to Find the LCM of 9415 and 9420?

Answer:

Least Common Multiple of 9415 and 9420 = 17737860

Step 1: Find the prime factorization of 9415

9415 = 5 x 7 x 269

Step 2: Find the prime factorization of 9420

9420 = 2 x 2 x 3 x 5 x 157

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

LCM = 17737860 = 2 x 2 x 3 x 5 x 7 x 157 x 269

Step 4: Therefore, the least common multiple of 9415 and 9420 is 17737860.