Least Common Multiple of 7473 and 7479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7473 and 7479 the smallest integer that is 18630189 that is divisible by both numbers.

Least Common Multiple (LCM) of 7473 and 7479 is 18630189.

LCM(7473,7479) = 18630189

LCM of 7473 and 7479

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

LCM of:
and

Least Common Multiple of 7473 and 7479

LCM of 7473 and 7479 is 18630189

Least common multiple can be found by multiplying the highest exponent prime factors of 7473 and 7479. First we will calculate the prime factors of 7473 and 7479.

Prime Factorization of 7473


3 7473
47 2491
53 53
1

Prime factors of 7473 are 3, 47,53. Prime factorization of 7473 in exponential form is:

7473 = 31×471×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7473 and 7479.

LCM(7473,7479) = 33×471×531×2771
LCM(7473,7479) = 18630189

Factors of 7473

List of positive integer factors of 7473 that divides 7473 without a remainder.

1, 3, 47, 53, 141, 159, 2491, 7473

Factors of 7479

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

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

Least Common Multiple of 7473 and 7479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7473 and 7479, than apply into the LCM equation.

GCF(7473,7479) = 3
LCM(7473,7479) = ( 7473 × 7479) / 3
LCM(7473,7479) = 55890567 / 3
LCM(7473,7479) = 18630189

Properties of LCM 7473 and 7479

(i) The LCM of 7479 and 7473 is associative

LCM of 7473 and 7479 = LCM of 7479 and 7473

Related Least Common Multiples of 7473

Related Least Common Multiples of 7479

Frequently Asked Questions on LCM of 7473 and 7479

1. What is the LCM of 7473 and 7479?

Answer: LCM of 7473 and 7479 is 18630189.

2. What are the Factors of 7473?

Answer: Factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473. There are 8 integers that are factors of 7473. The greatest factor of 7473 is 7473.

3. 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.

4. How to Find the LCM of 7473 and 7479?

Answer:

Least Common Multiple of 7473 and 7479 = 18630189

Step 1: Find the prime factorization of 7473

7473 = 3 x 47 x 53

Step 2: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

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

LCM = 18630189 = 3 x 3 x 3 x 47 x 53 x 277

Step 4: Therefore, the least common multiple of 7473 and 7479 is 18630189.