Least Common Multiple of 7479 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 7479 and 7486 the smallest integer that is 55987794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7479 and 7486 is 55987794.

LCM(7479,7486) = 55987794

LCM of 7479 and 7486

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

LCM of:
and

Least Common Multiple of 7479 and 7486

LCM of 7479 and 7486 is 55987794

Least common multiple can be found by multiplying the highest exponent prime factors of 7479 and 7486. First we will calculate the prime factors of 7479 and 7486.

Prime Factorization of 7479


3 7479
3 2493
3 831
277 277
1

Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:

7479 = 33×2771

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 7479 and 7486.

LCM(7479,7486) = 21×33×191×1971×2771
LCM(7479,7486) = 55987794

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1, 3, 9, 27, 277, 831, 2493, 7479

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 7479 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 7479 and 7486, than apply into the LCM equation.

GCF(7479,7486) = 1
LCM(7479,7486) = ( 7479 × 7486) / 1
LCM(7479,7486) = 55987794 / 1
LCM(7479,7486) = 55987794

Properties of LCM 7479 and 7486

(i) The LCM of 7486 and 7479 is associative

LCM of 7479 and 7486 = LCM of 7486 and 7479

Related Least Common Multiples of 7479

Related Least Common Multiples of 7486

Frequently Asked Questions on LCM of 7479 and 7486

1. What is the LCM of 7479 and 7486?

Answer: LCM of 7479 and 7486 is 55987794.

2. What are the Factors of 7479?

Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.

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 7479 and 7486?

Answer:

Least Common Multiple of 7479 and 7486 = 55987794

Step 1: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

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 = 55987794 = 2 x 3 x 3 x 3 x 19 x 197 x 277

Step 4: Therefore, the least common multiple of 7479 and 7486 is 55987794.