Least Common Multiple of 7481 and 7486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7481 and 7486 the smallest integer that is 56002766 that is divisible by both numbers.

Least Common Multiple (LCM) of 7481 and 7486 is 56002766.

LCM(7481,7486) = 56002766

LCM of 7481 and 7486

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

LCM of:
and

Least Common Multiple of 7481 and 7486

LCM of 7481 and 7486 is 56002766

Least common multiple can be found by multiplying the highest exponent prime factors of 7481 and 7486. First we will calculate the prime factors of 7481 and 7486.

Prime Factorization of 7481


7481 7481
1

Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:

7481 = 74811

Prime Factorization of 7486


2 7486
19 3743
197 197
1

Prime factors of 7486 are 2, 19,197. Prime factorization of 7486 in exponential form is:

7486 = 21×191×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7481 and 7486.

LCM(7481,7486) = 21×191×1971×74811
LCM(7481,7486) = 56002766

Factors of 7481

List of positive integer factors of 7481 that divides 7481 without a remainder.

1, 7481

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1, 2, 19, 38, 197, 394, 3743, 7486

Least Common Multiple of 7481 and 7486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7481 and 7486, than apply into the LCM equation.

GCF(7481,7486) = 1
LCM(7481,7486) = ( 7481 × 7486) / 1
LCM(7481,7486) = 56002766 / 1
LCM(7481,7486) = 56002766

Properties of LCM 7481 and 7486

(i) The LCM of 7486 and 7481 is associative

LCM of 7481 and 7486 = LCM of 7486 and 7481

Related Least Common Multiples of 7481

Related Least Common Multiples of 7486

Frequently Asked Questions on LCM of 7481 and 7486

1. What is the LCM of 7481 and 7486?

Answer: LCM of 7481 and 7486 is 56002766.

2. What are the Factors of 7481?

Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.

3. What are the Factors of 7486?

Answer: Factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486. There are 8 integers that are factors of 7486. The greatest factor of 7486 is 7486.

4. How to Find the LCM of 7481 and 7486?

Answer:

Least Common Multiple of 7481 and 7486 = 56002766

Step 1: Find the prime factorization of 7481

7481 = 7481

Step 2: Find the prime factorization of 7486

7486 = 2 x 19 x 197

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

LCM = 56002766 = 2 x 19 x 197 x 7481

Step 4: Therefore, the least common multiple of 7481 and 7486 is 56002766.