Least Common Multiple of 464 and 467

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 467 the smallest integer that is 216688 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 467 is 216688.

LCM(464,467) = 216688

LCM of 464 and 467

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

LCM of:
and

Least Common Multiple of 464 and 467

LCM of 464 and 467 is 216688

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 467. First we will calculate the prime factors of 464 and 467.

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 467


467 467
1

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 464 and 467.

LCM(464,467) = 24×291×4671
LCM(464,467) = 216688

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 467

List of positive integer factors of 467 that divides 467 without a remainder.

1, 467

Least Common Multiple of 464 and 467 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 467, than apply into the LCM equation.

GCF(464,467) = 1
LCM(464,467) = ( 464 × 467) / 1
LCM(464,467) = 216688 / 1
LCM(464,467) = 216688

Properties of LCM 464 and 467

(i) The LCM of 467 and 464 is associative

LCM of 464 and 467 = LCM of 467 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 467

Frequently Asked Questions on LCM of 464 and 467

1. What is the LCM of 464 and 467?

Answer: LCM of 464 and 467 is 216688.

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 467?

Answer: Factors of 467 are 1, 467. There are 2 integers that are factors of 467. The greatest factor of 467 is 467.

4. How to Find the LCM of 464 and 467?

Answer:

Least Common Multiple of 464 and 467 = 216688

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 467

467 = 467

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

LCM = 216688 = 2 x 2 x 2 x 2 x 29 x 467

Step 4: Therefore, the least common multiple of 464 and 467 is 216688.