Least Common Multiple of 9420 and 9424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9420 and 9424 the smallest integer that is 22193520 that is divisible by both numbers.

Least Common Multiple (LCM) of 9420 and 9424 is 22193520.

LCM(9420,9424) = 22193520

LCM of 9420 and 9424

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

LCM of:
and

Least Common Multiple of 9420 and 9424

LCM of 9420 and 9424 is 22193520

Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9424. First we will calculate the prime factors of 9420 and 9424.

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

Prime Factorization of 9424


2 9424
2 4712
2 2356
2 1178
19 589
31 31
1

Prime factors of 9424 are 2, 19,31. Prime factorization of 9424 in exponential form is:

9424 = 24×191×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9420 and 9424.

LCM(9420,9424) = 24×31×51×191×311×1571
LCM(9420,9424) = 22193520

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

Factors of 9424

List of positive integer factors of 9424 that divides 9424 without a remainder.

1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424

Least Common Multiple of 9420 and 9424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9420 and 9424, than apply into the LCM equation.

GCF(9420,9424) = 4
LCM(9420,9424) = ( 9420 × 9424) / 4
LCM(9420,9424) = 88774080 / 4
LCM(9420,9424) = 22193520

Properties of LCM 9420 and 9424

(i) The LCM of 9424 and 9420 is associative

LCM of 9420 and 9424 = LCM of 9424 and 9420

Related Least Common Multiples of 9420

Related Least Common Multiples of 9424

Frequently Asked Questions on LCM of 9420 and 9424

1. What is the LCM of 9420 and 9424?

Answer: LCM of 9420 and 9424 is 22193520.

2. 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.

3. What are the Factors of 9424?

Answer: Factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424. There are 20 integers that are factors of 9424. The greatest factor of 9424 is 9424.

4. How to Find the LCM of 9420 and 9424?

Answer:

Least Common Multiple of 9420 and 9424 = 22193520

Step 1: Find the prime factorization of 9420

9420 = 2 x 2 x 3 x 5 x 157

Step 2: Find the prime factorization of 9424

9424 = 2 x 2 x 2 x 2 x 19 x 31

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

LCM = 22193520 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 31 x 157

Step 4: Therefore, the least common multiple of 9420 and 9424 is 22193520.