Least Common Multiple of 468 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 468 and 469 the smallest integer that is 219492 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 469 is 219492.

LCM(468,469) = 219492

LCM of 468 and 469

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

LCM of:
and

Least Common Multiple of 468 and 469

LCM of 468 and 469 is 219492

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 469. First we will calculate the prime factors of 468 and 469.

Prime Factorization of 468


2 468
2 234
3 117
3 39
13 13
1

Prime factors of 468 are 2, 3,13. Prime factorization of 468 in exponential form is:

468 = 22×32×131

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 468 and 469.

LCM(468,469) = 22×32×71×131×671
LCM(468,469) = 219492

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Factors of 469

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

1, 7, 67, 469

Least Common Multiple of 468 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 468 and 469, than apply into the LCM equation.

GCF(468,469) = 1
LCM(468,469) = ( 468 × 469) / 1
LCM(468,469) = 219492 / 1
LCM(468,469) = 219492

Properties of LCM 468 and 469

(i) The LCM of 469 and 468 is associative

LCM of 468 and 469 = LCM of 469 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 468 and 469

1. What is the LCM of 468 and 469?

Answer: LCM of 468 and 469 is 219492.

2. What are the Factors of 468?

Answer: Factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468. There are 18 integers that are factors of 468. The greatest factor of 468 is 468.

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 468 and 469?

Answer:

Least Common Multiple of 468 and 469 = 219492

Step 1: Find the prime factorization of 468

468 = 2 x 2 x 3 x 3 x 13

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 = 219492 = 2 x 2 x 3 x 3 x 7 x 13 x 67

Step 4: Therefore, the least common multiple of 468 and 469 is 219492.