Least Common Multiple of 464 and 466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 464 and 466 the smallest integer that is 108112 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 466 is 108112.

LCM(464,466) = 108112

LCM of 464 and 466

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

LCM of:
and

Least Common Multiple of 464 and 466

LCM of 464 and 466 is 108112

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 466. First we will calculate the prime factors of 464 and 466.

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 464 and 466.

LCM(464,466) = 24×291×2331
LCM(464,466) = 108112

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Factors of 466

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

1, 2, 233, 466

Least Common Multiple of 464 and 466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 464 and 466, than apply into the LCM equation.

GCF(464,466) = 2
LCM(464,466) = ( 464 × 466) / 2
LCM(464,466) = 216224 / 2
LCM(464,466) = 108112

Properties of LCM 464 and 466

(i) The LCM of 466 and 464 is associative

LCM of 464 and 466 = LCM of 466 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 466

Frequently Asked Questions on LCM of 464 and 466

1. What is the LCM of 464 and 466?

Answer: LCM of 464 and 466 is 108112.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

3. 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.

4. How to Find the LCM of 464 and 466?

Answer:

Least Common Multiple of 464 and 466 = 108112

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 466

466 = 2 x 233

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

LCM = 108112 = 2 x 2 x 2 x 2 x 29 x 233

Step 4: Therefore, the least common multiple of 464 and 466 is 108112.