Least Common Multiple of 9474 and 9480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9474 and 9480 the smallest integer that is 14968920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9474 and 9480 is 14968920.

LCM(9474,9480) = 14968920

LCM of 9474 and 9480

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

LCM of:
and

Least Common Multiple of 9474 and 9480

LCM of 9474 and 9480 is 14968920

Least common multiple can be found by multiplying the highest exponent prime factors of 9474 and 9480. First we will calculate the prime factors of 9474 and 9480.

Prime Factorization of 9474


2 9474
3 4737
1579 1579
1

Prime factors of 9474 are 2, 3,1579. Prime factorization of 9474 in exponential form is:

9474 = 21×31×15791

Prime Factorization of 9480


2 9480
2 4740
2 2370
3 1185
5 395
79 79
1

Prime factors of 9480 are 2, 3, 5,79. Prime factorization of 9480 in exponential form is:

9480 = 23×31×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9474 and 9480.

LCM(9474,9480) = 23×31×51×791×15791
LCM(9474,9480) = 14968920

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1, 2, 3, 6, 1579, 3158, 4737, 9474

Factors of 9480

List of positive integer factors of 9480 that divides 9480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480

Least Common Multiple of 9474 and 9480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9474 and 9480, than apply into the LCM equation.

GCF(9474,9480) = 6
LCM(9474,9480) = ( 9474 × 9480) / 6
LCM(9474,9480) = 89813520 / 6
LCM(9474,9480) = 14968920

Properties of LCM 9474 and 9480

(i) The LCM of 9480 and 9474 is associative

LCM of 9474 and 9480 = LCM of 9480 and 9474

Related Least Common Multiples of 9474

Related Least Common Multiples of 9480

Frequently Asked Questions on LCM of 9474 and 9480

1. What is the LCM of 9474 and 9480?

Answer: LCM of 9474 and 9480 is 14968920.

2. What are the Factors of 9474?

Answer: Factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474. There are 8 integers that are factors of 9474. The greatest factor of 9474 is 9474.

3. What are the Factors of 9480?

Answer: Factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480. There are 32 integers that are factors of 9480. The greatest factor of 9480 is 9480.

4. How to Find the LCM of 9474 and 9480?

Answer:

Least Common Multiple of 9474 and 9480 = 14968920

Step 1: Find the prime factorization of 9474

9474 = 2 x 3 x 1579

Step 2: Find the prime factorization of 9480

9480 = 2 x 2 x 2 x 3 x 5 x 79

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

LCM = 14968920 = 2 x 2 x 2 x 3 x 5 x 79 x 1579

Step 4: Therefore, the least common multiple of 9474 and 9480 is 14968920.