Least Common Multiple of 9478 and 9483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9478 and 9483 the smallest integer that is 89879874 that is divisible by both numbers.

Least Common Multiple (LCM) of 9478 and 9483 is 89879874.

LCM(9478,9483) = 89879874

LCM of 9478 and 9483

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

LCM of:
and

Least Common Multiple of 9478 and 9483

LCM of 9478 and 9483 is 89879874

Least common multiple can be found by multiplying the highest exponent prime factors of 9478 and 9483. First we will calculate the prime factors of 9478 and 9483.

Prime Factorization of 9478


2 9478
7 4739
677 677
1

Prime factors of 9478 are 2, 7,677. Prime factorization of 9478 in exponential form is:

9478 = 21×71×6771

Prime Factorization of 9483


3 9483
29 3161
109 109
1

Prime factors of 9483 are 3, 29,109. Prime factorization of 9483 in exponential form is:

9483 = 31×291×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 9478 and 9483.

LCM(9478,9483) = 21×31×71×291×1091×6771
LCM(9478,9483) = 89879874

Factors of 9478

List of positive integer factors of 9478 that divides 9478 without a remainder.

1, 2, 7, 14, 677, 1354, 4739, 9478

Factors of 9483

List of positive integer factors of 9483 that divides 9483 without a remainder.

1, 3, 29, 87, 109, 327, 3161, 9483

Least Common Multiple of 9478 and 9483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9478 and 9483, than apply into the LCM equation.

GCF(9478,9483) = 1
LCM(9478,9483) = ( 9478 × 9483) / 1
LCM(9478,9483) = 89879874 / 1
LCM(9478,9483) = 89879874

Properties of LCM 9478 and 9483

(i) The LCM of 9483 and 9478 is associative

LCM of 9478 and 9483 = LCM of 9483 and 9478

Related Least Common Multiples of 9478

Related Least Common Multiples of 9483

Frequently Asked Questions on LCM of 9478 and 9483

1. What is the LCM of 9478 and 9483?

Answer: LCM of 9478 and 9483 is 89879874.

2. What are the Factors of 9478?

Answer: Factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478. There are 8 integers that are factors of 9478. The greatest factor of 9478 is 9478.

3. What are the Factors of 9483?

Answer: Factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483. There are 8 integers that are factors of 9483. The greatest factor of 9483 is 9483.

4. How to Find the LCM of 9478 and 9483?

Answer:

Least Common Multiple of 9478 and 9483 = 89879874

Step 1: Find the prime factorization of 9478

9478 = 2 x 7 x 677

Step 2: Find the prime factorization of 9483

9483 = 3 x 29 x 109

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

LCM = 89879874 = 2 x 3 x 7 x 29 x 109 x 677

Step 4: Therefore, the least common multiple of 9478 and 9483 is 89879874.