Least Common Multiple of 9417 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 9417 and 9420 the smallest integer that is 29569380 that is divisible by both numbers.

Least Common Multiple (LCM) of 9417 and 9420 is 29569380.

LCM(9417,9420) = 29569380

LCM of 9417 and 9420

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

LCM of:
and

Least Common Multiple of 9417 and 9420

LCM of 9417 and 9420 is 29569380

Least common multiple can be found by multiplying the highest exponent prime factors of 9417 and 9420. First we will calculate the prime factors of 9417 and 9420.

Prime Factorization of 9417


3 9417
43 3139
73 73
1

Prime factors of 9417 are 3, 43,73. Prime factorization of 9417 in exponential form is:

9417 = 31×431×731

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 9417 and 9420.

LCM(9417,9420) = 22×31×51×431×731×1571
LCM(9417,9420) = 29569380

Factors of 9417

List of positive integer factors of 9417 that divides 9417 without a remainder.

1, 3, 43, 73, 129, 219, 3139, 9417

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 9417 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 9417 and 9420, than apply into the LCM equation.

GCF(9417,9420) = 3
LCM(9417,9420) = ( 9417 × 9420) / 3
LCM(9417,9420) = 88708140 / 3
LCM(9417,9420) = 29569380

Properties of LCM 9417 and 9420

(i) The LCM of 9420 and 9417 is associative

LCM of 9417 and 9420 = LCM of 9420 and 9417

Related Least Common Multiples of 9417

Related Least Common Multiples of 9420

Frequently Asked Questions on LCM of 9417 and 9420

1. What is the LCM of 9417 and 9420?

Answer: LCM of 9417 and 9420 is 29569380.

2. What are the Factors of 9417?

Answer: Factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417. There are 8 integers that are factors of 9417. The greatest factor of 9417 is 9417.

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 9417 and 9420?

Answer:

Least Common Multiple of 9417 and 9420 = 29569380

Step 1: Find the prime factorization of 9417

9417 = 3 x 43 x 73

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 = 29569380 = 2 x 2 x 3 x 5 x 43 x 73 x 157

Step 4: Therefore, the least common multiple of 9417 and 9420 is 29569380.