Least Common Multiple of 469 and 472

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 472 the smallest integer that is 221368 that is divisible by both numbers.

Least Common Multiple (LCM) of 469 and 472 is 221368.

LCM(469,472) = 221368

LCM of 469 and 472

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

LCM of:
and

Least Common Multiple of 469 and 472

LCM of 469 and 472 is 221368

Least common multiple can be found by multiplying the highest exponent prime factors of 469 and 472. First we will calculate the prime factors of 469 and 472.

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 472


2 472
2 236
2 118
59 59
1

Prime factors of 472 are 2,59. Prime factorization of 472 in exponential form is:

472 = 23×591

Now multiplying the highest exponent prime factors to calculate the LCM of 469 and 472.

LCM(469,472) = 23×71×591×671
LCM(469,472) = 221368

Factors of 469

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

1, 7, 67, 469

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Least Common Multiple of 469 and 472 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 472, than apply into the LCM equation.

GCF(469,472) = 1
LCM(469,472) = ( 469 × 472) / 1
LCM(469,472) = 221368 / 1
LCM(469,472) = 221368

Properties of LCM 469 and 472

(i) The LCM of 472 and 469 is associative

LCM of 469 and 472 = LCM of 472 and 469

Related Least Common Multiples of 469

Related Least Common Multiples of 472

Frequently Asked Questions on LCM of 469 and 472

1. What is the LCM of 469 and 472?

Answer: LCM of 469 and 472 is 221368.

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 472?

Answer: Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. There are 8 integers that are factors of 472. The greatest factor of 472 is 472.

4. How to Find the LCM of 469 and 472?

Answer:

Least Common Multiple of 469 and 472 = 221368

Step 1: Find the prime factorization of 469

469 = 7 x 67

Step 2: Find the prime factorization of 472

472 = 2 x 2 x 2 x 59

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

LCM = 221368 = 2 x 2 x 2 x 7 x 59 x 67

Step 4: Therefore, the least common multiple of 469 and 472 is 221368.