Least Common Multiple of 469 and 474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 469 and 474 the smallest integer that is 222306 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 474 is 222306.

LCM(469,474) = 222306

LCM of 469 and 474

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

LCM of:
and

Least Common Multiple of 469 and 474

LCM of 469 and 474 is 222306

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 474. First we will calculate the prime factors of 469 and 474.

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

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 469 and 474.

LCM(469,474) = 21×31×71×671×791
LCM(469,474) = 222306

Factors of 469

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

1, 7, 67, 469

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Least Common Multiple of 469 and 474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 469 and 474, than apply into the LCM equation.

GCF(469,474) = 1
LCM(469,474) = ( 469 × 474) / 1
LCM(469,474) = 222306 / 1
LCM(469,474) = 222306

Properties of LCM 469 and 474

(i) The LCM of 474 and 469 is associative

LCM of 469 and 474 = LCM of 474 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 474

Frequently Asked Questions on LCM of 469 and 474

1. What is the LCM of 469 and 474?

Answer: LCM of 469 and 474 is 222306.

2. 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.

3. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

4. How to Find the LCM of 469 and 474?

Answer:

Least Common Multiple of 469 and 474 = 222306

Step 1: Find the prime factorization of 469

469 = 7 x 67

Step 2: Find the prime factorization of 474

474 = 2 x 3 x 79

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

LCM = 222306 = 2 x 3 x 7 x 67 x 79

Step 4: Therefore, the least common multiple of 469 and 474 is 222306.