Least Common Multiple of 8473 and 8480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8473 and 8480 the smallest integer that is 71851040 that is divisible by both numbers.

Least Common Multiple (LCM) of 8473 and 8480 is 71851040.

LCM(8473,8480) = 71851040

LCM of 8473 and 8480

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

LCM of:
and

Least Common Multiple of 8473 and 8480

LCM of 8473 and 8480 is 71851040

Least common multiple can be found by multiplying the highest exponent prime factors of 8473 and 8480. First we will calculate the prime factors of 8473 and 8480.

Prime Factorization of 8473


37 8473
229 229
1

Prime factors of 8473 are 37,229. Prime factorization of 8473 in exponential form is:

8473 = 371×2291

Prime Factorization of 8480


2 8480
2 4240
2 2120
2 1060
2 530
5 265
53 53
1

Prime factors of 8480 are 2, 5,53. Prime factorization of 8480 in exponential form is:

8480 = 25×51×531

Now multiplying the highest exponent prime factors to calculate the LCM of 8473 and 8480.

LCM(8473,8480) = 25×51×371×531×2291
LCM(8473,8480) = 71851040

Factors of 8473

List of positive integer factors of 8473 that divides 8473 without a remainder.

1, 37, 229, 8473

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480

Least Common Multiple of 8473 and 8480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8473 and 8480, than apply into the LCM equation.

GCF(8473,8480) = 1
LCM(8473,8480) = ( 8473 × 8480) / 1
LCM(8473,8480) = 71851040 / 1
LCM(8473,8480) = 71851040

Properties of LCM 8473 and 8480

(i) The LCM of 8480 and 8473 is associative

LCM of 8473 and 8480 = LCM of 8480 and 8473

Related Least Common Multiples of 8473

Related Least Common Multiples of 8480

Frequently Asked Questions on LCM of 8473 and 8480

1. What is the LCM of 8473 and 8480?

Answer: LCM of 8473 and 8480 is 71851040.

2. What are the Factors of 8473?

Answer: Factors of 8473 are 1, 37, 229, 8473. There are 4 integers that are factors of 8473. The greatest factor of 8473 is 8473.

3. What are the Factors of 8480?

Answer: Factors of 8480 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240, 8480. There are 24 integers that are factors of 8480. The greatest factor of 8480 is 8480.

4. How to Find the LCM of 8473 and 8480?

Answer:

Least Common Multiple of 8473 and 8480 = 71851040

Step 1: Find the prime factorization of 8473

8473 = 37 x 229

Step 2: Find the prime factorization of 8480

8480 = 2 x 2 x 2 x 2 x 2 x 5 x 53

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

LCM = 71851040 = 2 x 2 x 2 x 2 x 2 x 5 x 37 x 53 x 229

Step 4: Therefore, the least common multiple of 8473 and 8480 is 71851040.