Least Common Multiple of 463 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 463 and 467 the smallest integer that is 216221 that is divisible by both numbers.

Least Common Multiple (LCM) of 463 and 467 is 216221.

LCM(463,467) = 216221

LCM of 463 and 467

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

LCM of:
and

Least Common Multiple of 463 and 467

LCM of 463 and 467 is 216221

Least common multiple can be found by multiplying the highest exponent prime factors of 463 and 467. First we will calculate the prime factors of 463 and 467.

Prime Factorization of 463


463 463
1

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

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 463 and 467.

LCM(463,467) = 4631×4671
LCM(463,467) = 216221

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1, 463

Factors of 467

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

1, 467

Least Common Multiple of 463 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 463 and 467, than apply into the LCM equation.

GCF(463,467) = 1
LCM(463,467) = ( 463 × 467) / 1
LCM(463,467) = 216221 / 1
LCM(463,467) = 216221

Properties of LCM 463 and 467

(i) The LCM of 467 and 463 is associative

LCM of 463 and 467 = LCM of 467 and 463

Related Least Common Multiples of 463

Related Least Common Multiples of 467

Frequently Asked Questions on LCM of 463 and 467

1. What is the LCM of 463 and 467?

Answer: LCM of 463 and 467 is 216221.

2. What are the Factors of 463?

Answer: Factors of 463 are 1, 463. There are 2 integers that are factors of 463. The greatest factor of 463 is 463.

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 463 and 467?

Answer:

Least Common Multiple of 463 and 467 = 216221

Step 1: Find the prime factorization of 463

463 = 463

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 = 216221 = 463 x 467

Step 4: Therefore, the least common multiple of 463 and 467 is 216221.