Least Common Multiple of 467 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 467 and 469 the smallest integer that is 219023 that is divisible by both numbers.

Least Common Multiple (LCM) of 467 and 469 is 219023.

LCM(467,469) = 219023

LCM of 467 and 469

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

LCM of:
and

Least Common Multiple of 467 and 469

LCM of 467 and 469 is 219023

Least common multiple can be found by multiplying the highest exponent prime factors of 467 and 469. First we will calculate the prime factors of 467 and 469.

Prime Factorization of 467


467 467
1

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

467 = 4671

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 467 and 469.

LCM(467,469) = 71×671×4671
LCM(467,469) = 219023

Factors of 467

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

1, 467

Factors of 469

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

1, 7, 67, 469

Least Common Multiple of 467 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 467 and 469, than apply into the LCM equation.

GCF(467,469) = 1
LCM(467,469) = ( 467 × 469) / 1
LCM(467,469) = 219023 / 1
LCM(467,469) = 219023

Properties of LCM 467 and 469

(i) The LCM of 469 and 467 is associative

LCM of 467 and 469 = LCM of 469 and 467

Related Least Common Multiples of 467

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 467 and 469

1. What is the LCM of 467 and 469?

Answer: LCM of 467 and 469 is 219023.

2. 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.

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 467 and 469?

Answer:

Least Common Multiple of 467 and 469 = 219023

Step 1: Find the prime factorization of 467

467 = 467

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 = 219023 = 7 x 67 x 467

Step 4: Therefore, the least common multiple of 467 and 469 is 219023.