Least Common Multiple of 467 and 473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 467 and 473 the smallest integer that is 220891 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 473 is 220891.

LCM(467,473) = 220891

LCM of 467 and 473

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

LCM of:
and

Least Common Multiple of 467 and 473

LCM of 467 and 473 is 220891

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 473. First we will calculate the prime factors of 467 and 473.

Prime Factorization of 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 467 and 473.

LCM(467,473) = 111×431×4671
LCM(467,473) = 220891

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

Factors of 473

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

1, 11, 43, 473

Least Common Multiple of 467 and 473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 467 and 473, than apply into the LCM equation.

GCF(467,473) = 1
LCM(467,473) = ( 467 × 473) / 1
LCM(467,473) = 220891 / 1
LCM(467,473) = 220891

Properties of LCM 467 and 473

(i) The LCM of 473 and 467 is associative

LCM of 467 and 473 = LCM of 473 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 467 and 473

1. What is the LCM of 467 and 473?

Answer: LCM of 467 and 473 is 220891.

2. What are the Factors of 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

3. 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.

4. How to Find the LCM of 467 and 473?

Answer:

Least Common Multiple of 467 and 473 = 220891

Step 1: Find the prime factorization of 467

467 = 467

Step 2: Find the prime factorization of 473

473 = 11 x 43

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

LCM = 220891 = 11 x 43 x 467

Step 4: Therefore, the least common multiple of 467 and 473 is 220891.