Least Common Multiple of 465 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 465 and 469 the smallest integer that is 218085 that is divisible by both numbers.

Least Common Multiple (LCM) of 465 and 469 is 218085.

LCM(465,469) = 218085

LCM of 465 and 469

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

LCM of:
and

Least Common Multiple of 465 and 469

LCM of 465 and 469 is 218085

Least common multiple can be found by multiplying the highest exponent prime factors of 465 and 469. First we will calculate the prime factors of 465 and 469.

Prime Factorization of 465


3 465
5 155
31 31
1

Prime factors of 465 are 3, 5,31. Prime factorization of 465 in exponential form is:

465 = 31×51×311

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 465 and 469.

LCM(465,469) = 31×51×71×311×671
LCM(465,469) = 218085

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Factors of 469

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

1, 7, 67, 469

Least Common Multiple of 465 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 465 and 469, than apply into the LCM equation.

GCF(465,469) = 1
LCM(465,469) = ( 465 × 469) / 1
LCM(465,469) = 218085 / 1
LCM(465,469) = 218085

Properties of LCM 465 and 469

(i) The LCM of 469 and 465 is associative

LCM of 465 and 469 = LCM of 469 and 465

Related Least Common Multiples of 465

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 465 and 469

1. What is the LCM of 465 and 469?

Answer: LCM of 465 and 469 is 218085.

2. What are the Factors of 465?

Answer: Factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465. There are 8 integers that are factors of 465. The greatest factor of 465 is 465.

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 465 and 469?

Answer:

Least Common Multiple of 465 and 469 = 218085

Step 1: Find the prime factorization of 465

465 = 3 x 5 x 31

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 = 218085 = 3 x 5 x 7 x 31 x 67

Step 4: Therefore, the least common multiple of 465 and 469 is 218085.