Least Common Multiple of 7478 and 7483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7478 and 7483 the smallest integer that is 55957874 that is divisible by both numbers.

Least Common Multiple (LCM) of 7478 and 7483 is 55957874.

LCM(7478,7483) = 55957874

LCM of 7478 and 7483

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

LCM of:
and

Least Common Multiple of 7478 and 7483

LCM of 7478 and 7483 is 55957874

Least common multiple can be found by multiplying the highest exponent prime factors of 7478 and 7483. First we will calculate the prime factors of 7478 and 7483.

Prime Factorization of 7478


2 7478
3739 3739
1

Prime factors of 7478 are 2,3739. Prime factorization of 7478 in exponential form is:

7478 = 21×37391

Prime Factorization of 7483


7 7483
1069 1069
1

Prime factors of 7483 are 7,1069. Prime factorization of 7483 in exponential form is:

7483 = 71×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 7478 and 7483.

LCM(7478,7483) = 21×71×10691×37391
LCM(7478,7483) = 55957874

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1, 2, 3739, 7478

Factors of 7483

List of positive integer factors of 7483 that divides 7483 without a remainder.

1, 7, 1069, 7483

Least Common Multiple of 7478 and 7483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7478 and 7483, than apply into the LCM equation.

GCF(7478,7483) = 1
LCM(7478,7483) = ( 7478 × 7483) / 1
LCM(7478,7483) = 55957874 / 1
LCM(7478,7483) = 55957874

Properties of LCM 7478 and 7483

(i) The LCM of 7483 and 7478 is associative

LCM of 7478 and 7483 = LCM of 7483 and 7478

Related Least Common Multiples of 7478

Related Least Common Multiples of 7483

Frequently Asked Questions on LCM of 7478 and 7483

1. What is the LCM of 7478 and 7483?

Answer: LCM of 7478 and 7483 is 55957874.

2. What are the Factors of 7478?

Answer: Factors of 7478 are 1, 2, 3739, 7478. There are 4 integers that are factors of 7478. The greatest factor of 7478 is 7478.

3. What are the Factors of 7483?

Answer: Factors of 7483 are 1, 7, 1069, 7483. There are 4 integers that are factors of 7483. The greatest factor of 7483 is 7483.

4. How to Find the LCM of 7478 and 7483?

Answer:

Least Common Multiple of 7478 and 7483 = 55957874

Step 1: Find the prime factorization of 7478

7478 = 2 x 3739

Step 2: Find the prime factorization of 7483

7483 = 7 x 1069

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

LCM = 55957874 = 2 x 7 x 1069 x 3739

Step 4: Therefore, the least common multiple of 7478 and 7483 is 55957874.