Least Common Multiple of 9420 and 9426

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 9426 the smallest integer that is 14798820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9420 and 9426 is 14798820.

LCM(9420,9426) = 14798820

LCM of 9420 and 9426

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

LCM of:
and

Least Common Multiple of 9420 and 9426

LCM of 9420 and 9426 is 14798820

Least common multiple can be found by multiplying the highest exponent prime factors of 9420 and 9426. First we will calculate the prime factors of 9420 and 9426.

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 9426


2 9426
3 4713
1571 1571
1

Prime factors of 9426 are 2, 3,1571. Prime factorization of 9426 in exponential form is:

9426 = 21×31×15711

Now multiplying the highest exponent prime factors to calculate the LCM of 9420 and 9426.

LCM(9420,9426) = 22×31×51×1571×15711
LCM(9420,9426) = 14798820

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 9426

List of positive integer factors of 9426 that divides 9426 without a remainder.

1, 2, 3, 6, 1571, 3142, 4713, 9426

Least Common Multiple of 9420 and 9426 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 9426, than apply into the LCM equation.

GCF(9420,9426) = 6
LCM(9420,9426) = ( 9420 × 9426) / 6
LCM(9420,9426) = 88792920 / 6
LCM(9420,9426) = 14798820

Properties of LCM 9420 and 9426

(i) The LCM of 9426 and 9420 is associative

LCM of 9420 and 9426 = LCM of 9426 and 9420

Related Least Common Multiples of 9420

Related Least Common Multiples of 9426

Frequently Asked Questions on LCM of 9420 and 9426

1. What is the LCM of 9420 and 9426?

Answer: LCM of 9420 and 9426 is 14798820.

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 9426?

Answer: Factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426. There are 8 integers that are factors of 9426. The greatest factor of 9426 is 9426.

4. How to Find the LCM of 9420 and 9426?

Answer:

Least Common Multiple of 9420 and 9426 = 14798820

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 9426

9426 = 2 x 3 x 1571

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

LCM = 14798820 = 2 x 2 x 3 x 5 x 157 x 1571

Step 4: Therefore, the least common multiple of 9420 and 9426 is 14798820.