Least Common Multiple of 464 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 464 and 469 the smallest integer that is 217616 that is divisible by both numbers.

Least Common Multiple (LCM) of 464 and 469 is 217616.

LCM(464,469) = 217616

LCM of 464 and 469

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

LCM of:
and

Least Common Multiple of 464 and 469

LCM of 464 and 469 is 217616

Least common multiple can be found by multiplying the highest exponent prime factors of 464 and 469. First we will calculate the prime factors of 464 and 469.

Prime Factorization of 464


2 464
2 232
2 116
2 58
29 29
1

Prime factors of 464 are 2,29. Prime factorization of 464 in exponential form is:

464 = 24×291

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 464 and 469.

LCM(464,469) = 24×71×291×671
LCM(464,469) = 217616

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Factors of 469

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

1, 7, 67, 469

Least Common Multiple of 464 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 464 and 469, than apply into the LCM equation.

GCF(464,469) = 1
LCM(464,469) = ( 464 × 469) / 1
LCM(464,469) = 217616 / 1
LCM(464,469) = 217616

Properties of LCM 464 and 469

(i) The LCM of 469 and 464 is associative

LCM of 464 and 469 = LCM of 469 and 464

Related Least Common Multiples of 464

Related Least Common Multiples of 469

Frequently Asked Questions on LCM of 464 and 469

1. What is the LCM of 464 and 469?

Answer: LCM of 464 and 469 is 217616.

2. What are the Factors of 464?

Answer: Factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464. There are 10 integers that are factors of 464. The greatest factor of 464 is 464.

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 464 and 469?

Answer:

Least Common Multiple of 464 and 469 = 217616

Step 1: Find the prime factorization of 464

464 = 2 x 2 x 2 x 2 x 29

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 = 217616 = 2 x 2 x 2 x 2 x 7 x 29 x 67

Step 4: Therefore, the least common multiple of 464 and 469 is 217616.