Least Common Multiple of 473 and 480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 473 and 480 the smallest integer that is 227040 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 480 is 227040.

LCM(473,480) = 227040

LCM of 473 and 480

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

LCM of:
and

Least Common Multiple of 473 and 480

LCM of 473 and 480 is 227040

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 480. First we will calculate the prime factors of 473 and 480.

Prime Factorization of 473


11 473
43 43
1

Prime factors of 473 are 11,43. Prime factorization of 473 in exponential form is:

473 = 111×431

Prime Factorization of 480


2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 480 are 2, 3,5. Prime factorization of 480 in exponential form is:

480 = 25×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 480.

LCM(473,480) = 25×31×51×111×431
LCM(473,480) = 227040

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Least Common Multiple of 473 and 480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 473 and 480, than apply into the LCM equation.

GCF(473,480) = 1
LCM(473,480) = ( 473 × 480) / 1
LCM(473,480) = 227040 / 1
LCM(473,480) = 227040

Properties of LCM 473 and 480

(i) The LCM of 480 and 473 is associative

LCM of 473 and 480 = LCM of 480 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 480

Frequently Asked Questions on LCM of 473 and 480

1. What is the LCM of 473 and 480?

Answer: LCM of 473 and 480 is 227040.

2. What are the Factors of 473?

Answer: Factors of 473 are 1, 11, 43, 473. There are 4 integers that are factors of 473. The greatest factor of 473 is 473.

3. What are the Factors of 480?

Answer: Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. There are 24 integers that are factors of 480. The greatest factor of 480 is 480.

4. How to Find the LCM of 473 and 480?

Answer:

Least Common Multiple of 473 and 480 = 227040

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 480

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5

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

LCM = 227040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 43

Step 4: Therefore, the least common multiple of 473 and 480 is 227040.