Least Common Multiple of 7473 and 7480

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 7480 the smallest integer that is 55898040 that is divisible by both numbers.

Least Common Multiple (LCM) of 7473 and 7480 is 55898040.

LCM(7473,7480) = 55898040

LCM of 7473 and 7480

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

LCM of:
and

Least Common Multiple of 7473 and 7480

LCM of 7473 and 7480 is 55898040

Least common multiple can be found by multiplying the highest exponent prime factors of 7473 and 7480. First we will calculate the prime factors of 7473 and 7480.

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 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2, 5, 11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7473 and 7480.

LCM(7473,7480) = 23×31×51×111×171×471×531
LCM(7473,7480) = 55898040

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 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480

Least Common Multiple of 7473 and 7480 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 7480, than apply into the LCM equation.

GCF(7473,7480) = 1
LCM(7473,7480) = ( 7473 × 7480) / 1
LCM(7473,7480) = 55898040 / 1
LCM(7473,7480) = 55898040

Properties of LCM 7473 and 7480

(i) The LCM of 7480 and 7473 is associative

LCM of 7473 and 7480 = LCM of 7480 and 7473

Related Least Common Multiples of 7473

Related Least Common Multiples of 7480

Frequently Asked Questions on LCM of 7473 and 7480

1. What is the LCM of 7473 and 7480?

Answer: LCM of 7473 and 7480 is 55898040.

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 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

4. How to Find the LCM of 7473 and 7480?

Answer:

Least Common Multiple of 7473 and 7480 = 55898040

Step 1: Find the prime factorization of 7473

7473 = 3 x 47 x 53

Step 2: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

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

LCM = 55898040 = 2 x 2 x 2 x 3 x 5 x 11 x 17 x 47 x 53

Step 4: Therefore, the least common multiple of 7473 and 7480 is 55898040.