Least Common Multiple of 462 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 462 and 467 the smallest integer that is 215754 that is divisible by both numbers.

Least Common Multiple (LCM) of 462 and 467 is 215754.

LCM(462,467) = 215754

LCM of 462 and 467

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

LCM of:
and

Least Common Multiple of 462 and 467

LCM of 462 and 467 is 215754

Least common multiple can be found by multiplying the highest exponent prime factors of 462 and 467. First we will calculate the prime factors of 462 and 467.

Prime Factorization of 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2, 3, 7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

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 462 and 467.

LCM(462,467) = 21×31×71×111×4671
LCM(462,467) = 215754

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Factors of 467

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

1, 467

Least Common Multiple of 462 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 462 and 467, than apply into the LCM equation.

GCF(462,467) = 1
LCM(462,467) = ( 462 × 467) / 1
LCM(462,467) = 215754 / 1
LCM(462,467) = 215754

Properties of LCM 462 and 467

(i) The LCM of 467 and 462 is associative

LCM of 462 and 467 = LCM of 467 and 462

Related Least Common Multiples of 462

Related Least Common Multiples of 467

Frequently Asked Questions on LCM of 462 and 467

1. What is the LCM of 462 and 467?

Answer: LCM of 462 and 467 is 215754.

2. What are the Factors of 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

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 462 and 467?

Answer:

Least Common Multiple of 462 and 467 = 215754

Step 1: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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 = 215754 = 2 x 3 x 7 x 11 x 467

Step 4: Therefore, the least common multiple of 462 and 467 is 215754.