Least Common Multiple of 472 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 472 and 473 the smallest integer that is 223256 that is divisible by both numbers.

Least Common Multiple (LCM) of 472 and 473 is 223256.

LCM(472,473) = 223256

LCM of 472 and 473

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

LCM of:
and

Least Common Multiple of 472 and 473

LCM of 472 and 473 is 223256

Least common multiple can be found by multiplying the highest exponent prime factors of 472 and 473. First we will calculate the prime factors of 472 and 473.

Prime Factorization of 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

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 472 and 473.

LCM(472,473) = 23×111×431×591
LCM(472,473) = 223256

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Factors of 473

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

1, 11, 43, 473

Least Common Multiple of 472 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 472 and 473, than apply into the LCM equation.

GCF(472,473) = 1
LCM(472,473) = ( 472 × 473) / 1
LCM(472,473) = 223256 / 1
LCM(472,473) = 223256

Properties of LCM 472 and 473

(i) The LCM of 473 and 472 is associative

LCM of 472 and 473 = LCM of 473 and 472

Related Least Common Multiples of 472

Related Least Common Multiples of 473

Frequently Asked Questions on LCM of 472 and 473

1. What is the LCM of 472 and 473?

Answer: LCM of 472 and 473 is 223256.

2. What are the Factors of 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

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 472 and 473?

Answer:

Least Common Multiple of 472 and 473 = 223256

Step 1: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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 = 223256 = 2 x 2 x 2 x 11 x 43 x 59

Step 4: Therefore, the least common multiple of 472 and 473 is 223256.