Least Common Multiple of 462 and 469

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 469 the smallest integer that is 30954 that is divisible by both numbers.

Least Common Multiple (LCM) of 462 and 469 is 30954.

LCM(462,469) = 30954

LCM of 462 and 469

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

LCM of:
and

Least Common Multiple of 462 and 469

LCM of 462 and 469 is 30954

Least common multiple can be found by multiplying the highest exponent prime factors of 462 and 469. First we will calculate the prime factors of 462 and 469.

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 469


7 469
67 67
1

Prime factors of 469 are 7,67. Prime factorization of 469 in exponential form is:

469 = 71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 462 and 469.

LCM(462,469) = 21×31×71×111×671
LCM(462,469) = 30954

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 469

List of positive integer factors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Least Common Multiple of 462 and 469 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 469, than apply into the LCM equation.

GCF(462,469) = 7
LCM(462,469) = ( 462 × 469) / 7
LCM(462,469) = 216678 / 7
LCM(462,469) = 30954

Properties of LCM 462 and 469

(i) The LCM of 469 and 462 is associative

LCM of 462 and 469 = LCM of 469 and 462

Related Least Common Multiples of 462

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 462 and 469

1. What is the LCM of 462 and 469?

Answer: LCM of 462 and 469 is 30954.

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 469?

Answer: Factors of 469 are 1, 7, 67, 469. There are 4 integers that are factors of 469. The greatest factor of 469 is 469.

4. How to Find the LCM of 462 and 469?

Answer:

Least Common Multiple of 462 and 469 = 30954

Step 1: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 469

469 = 7 x 67

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

LCM = 30954 = 2 x 3 x 7 x 11 x 67

Step 4: Therefore, the least common multiple of 462 and 469 is 30954.