Least Common Multiple of 9420 and 9428

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 9428 the smallest integer that is 22202940 that is divisible by both numbers.

Least Common Multiple (LCM) of 9420 and 9428 is 22202940.

LCM(9420,9428) = 22202940

LCM of 9420 and 9428

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

LCM of:
and

Least Common Multiple of 9420 and 9428

LCM of 9420 and 9428 is 22202940

Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9428. First we will calculate the prime factors of 9420 and 9428.

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 9428


2 9428
2 4714
2357 2357
1

Prime factors of 9428 are 2,2357. Prime factorization of 9428 in exponential form is:

9428 = 22×23571

Now multiplying the highest exponent prime factors to calculate the LCM of 9420 and 9428.

LCM(9420,9428) = 22×31×51×1571×23571
LCM(9420,9428) = 22202940

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 9428

List of positive integer factors of 9428 that divides 9428 without a remainder.

1, 2, 4, 2357, 4714, 9428

Least Common Multiple of 9420 and 9428 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 9428, than apply into the LCM equation.

GCF(9420,9428) = 4
LCM(9420,9428) = ( 9420 × 9428) / 4
LCM(9420,9428) = 88811760 / 4
LCM(9420,9428) = 22202940

Properties of LCM 9420 and 9428

(i) The LCM of 9428 and 9420 is associative

LCM of 9420 and 9428 = LCM of 9428 and 9420

Related Least Common Multiples of 9420

Related Least Common Multiples of 9428

Frequently Asked Questions on LCM of 9420 and 9428

1. What is the LCM of 9420 and 9428?

Answer: LCM of 9420 and 9428 is 22202940.

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 9428?

Answer: Factors of 9428 are 1, 2, 4, 2357, 4714, 9428. There are 6 integers that are factors of 9428. The greatest factor of 9428 is 9428.

4. How to Find the LCM of 9420 and 9428?

Answer:

Least Common Multiple of 9420 and 9428 = 22202940

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 9428

9428 = 2 x 2 x 2357

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

LCM = 22202940 = 2 x 2 x 3 x 5 x 157 x 2357

Step 4: Therefore, the least common multiple of 9420 and 9428 is 22202940.