Least Common Multiple of 473 and 478

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 478 the smallest integer that is 226094 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 478 is 226094.

LCM(473,478) = 226094

LCM of 473 and 478

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

LCM of:
and

Least Common Multiple of 473 and 478

LCM of 473 and 478 is 226094

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 478. First we will calculate the prime factors of 473 and 478.

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 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 478.

LCM(473,478) = 21×111×431×2391
LCM(473,478) = 226094

Factors of 473

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

1, 11, 43, 473

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Least Common Multiple of 473 and 478 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 478, than apply into the LCM equation.

GCF(473,478) = 1
LCM(473,478) = ( 473 × 478) / 1
LCM(473,478) = 226094 / 1
LCM(473,478) = 226094

Properties of LCM 473 and 478

(i) The LCM of 478 and 473 is associative

LCM of 473 and 478 = LCM of 478 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 478

Frequently Asked Questions on LCM of 473 and 478

1. What is the LCM of 473 and 478?

Answer: LCM of 473 and 478 is 226094.

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 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

4. How to Find the LCM of 473 and 478?

Answer:

Least Common Multiple of 473 and 478 = 226094

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 478

478 = 2 x 239

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

LCM = 226094 = 2 x 11 x 43 x 239

Step 4: Therefore, the least common multiple of 473 and 478 is 226094.