Least Common Multiple of 466 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 466 and 474 the smallest integer that is 110442 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 474 is 110442.

LCM(466,474) = 110442

LCM of 466 and 474

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

LCM of:
and

Least Common Multiple of 466 and 474

LCM of 466 and 474 is 110442

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 474. First we will calculate the prime factors of 466 and 474.

Prime Factorization of 466


2 466
233 233
1

Prime factors of 466 are 2,233. Prime factorization of 466 in exponential form is:

466 = 21×2331

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 466 and 474.

LCM(466,474) = 21×31×791×2331
LCM(466,474) = 110442

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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 466 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 466 and 474, than apply into the LCM equation.

GCF(466,474) = 2
LCM(466,474) = ( 466 × 474) / 2
LCM(466,474) = 220884 / 2
LCM(466,474) = 110442

Properties of LCM 466 and 474

(i) The LCM of 474 and 466 is associative

LCM of 466 and 474 = LCM of 474 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 466 and 474

1. What is the LCM of 466 and 474?

Answer: LCM of 466 and 474 is 110442.

2. What are the Factors of 466?

Answer: Factors of 466 are 1, 2, 233, 466. There are 4 integers that are factors of 466. The greatest factor of 466 is 466.

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 466 and 474?

Answer:

Least Common Multiple of 466 and 474 = 110442

Step 1: Find the prime factorization of 466

466 = 2 x 233

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 = 110442 = 2 x 3 x 79 x 233

Step 4: Therefore, the least common multiple of 466 and 474 is 110442.