Least Common Multiple of 466 and 472

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 472 the smallest integer that is 109976 that is divisible by both numbers.

Least Common Multiple (LCM) of 466 and 472 is 109976.

LCM(466,472) = 109976

LCM of 466 and 472

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

LCM of:
and

Least Common Multiple of 466 and 472

LCM of 466 and 472 is 109976

Least common multiple can be found by multiplying the highest exponent prime factors of 466 and 472. First we will calculate the prime factors of 466 and 472.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 466 and 472.

LCM(466,472) = 23×591×2331
LCM(466,472) = 109976

Factors of 466

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

1, 2, 233, 466

Factors of 472

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

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

Least Common Multiple of 466 and 472 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 472, than apply into the LCM equation.

GCF(466,472) = 2
LCM(466,472) = ( 466 × 472) / 2
LCM(466,472) = 219952 / 2
LCM(466,472) = 109976

Properties of LCM 466 and 472

(i) The LCM of 472 and 466 is associative

LCM of 466 and 472 = LCM of 472 and 466

Related Least Common Multiples of 466

Related Least Common Multiples of 472

Frequently Asked Questions on LCM of 466 and 472

1. What is the LCM of 466 and 472?

Answer: LCM of 466 and 472 is 109976.

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 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.

4. How to Find the LCM of 466 and 472?

Answer:

Least Common Multiple of 466 and 472 = 109976

Step 1: Find the prime factorization of 466

466 = 2 x 233

Step 2: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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

LCM = 109976 = 2 x 2 x 2 x 59 x 233

Step 4: Therefore, the least common multiple of 466 and 472 is 109976.