Least Common Multiple of 473 and 474

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 474 the smallest integer that is 224202 that is divisible by both numbers.

Least Common Multiple (LCM) of 473 and 474 is 224202.

LCM(473,474) = 224202

LCM of 473 and 474

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

LCM of:
and

Least Common Multiple of 473 and 474

LCM of 473 and 474 is 224202

Least common multiple can be found by multiplying the highest exponent prime factors of 473 and 474. First we will calculate the prime factors of 473 and 474.

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 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 473 and 474.

LCM(473,474) = 21×31×111×431×791
LCM(473,474) = 224202

Factors of 473

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

1, 11, 43, 473

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Least Common Multiple of 473 and 474 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 474, than apply into the LCM equation.

GCF(473,474) = 1
LCM(473,474) = ( 473 × 474) / 1
LCM(473,474) = 224202 / 1
LCM(473,474) = 224202

Properties of LCM 473 and 474

(i) The LCM of 474 and 473 is associative

LCM of 473 and 474 = LCM of 474 and 473

Related Least Common Multiples of 473

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 473 and 474

1. What is the LCM of 473 and 474?

Answer: LCM of 473 and 474 is 224202.

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 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

4. How to Find the LCM of 473 and 474?

Answer:

Least Common Multiple of 473 and 474 = 224202

Step 1: Find the prime factorization of 473

473 = 11 x 43

Step 2: Find the prime factorization of 474

474 = 2 x 3 x 79

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

LCM = 224202 = 2 x 3 x 11 x 43 x 79

Step 4: Therefore, the least common multiple of 473 and 474 is 224202.