Least Common Multiple of 468 and 471

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 471 the smallest integer that is 73476 that is divisible by both numbers.

Least Common Multiple (LCM) of 468 and 471 is 73476.

LCM(468,471) = 73476

LCM of 468 and 471

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

LCM of:
and

Least Common Multiple of 468 and 471

LCM of 468 and 471 is 73476

Least common multiple can be found by multiplying the highest exponent prime factors of 468 and 471. First we will calculate the prime factors of 468 and 471.

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 471


3 471
157 157
1

Prime factors of 471 are 3,157. Prime factorization of 471 in exponential form is:

471 = 31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 468 and 471.

LCM(468,471) = 22×32×131×1571
LCM(468,471) = 73476

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 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Least Common Multiple of 468 and 471 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 471, than apply into the LCM equation.

GCF(468,471) = 3
LCM(468,471) = ( 468 × 471) / 3
LCM(468,471) = 220428 / 3
LCM(468,471) = 73476

Properties of LCM 468 and 471

(i) The LCM of 471 and 468 is associative

LCM of 468 and 471 = LCM of 471 and 468

Related Least Common Multiples of 468

Related Least Common Multiples of 471

Frequently Asked Questions on LCM of 468 and 471

1. What is the LCM of 468 and 471?

Answer: LCM of 468 and 471 is 73476.

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 471?

Answer: Factors of 471 are 1, 3, 157, 471. There are 4 integers that are factors of 471. The greatest factor of 471 is 471.

4. How to Find the LCM of 468 and 471?

Answer:

Least Common Multiple of 468 and 471 = 73476

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 471

471 = 3 x 157

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

LCM = 73476 = 2 x 2 x 3 x 3 x 13 x 157

Step 4: Therefore, the least common multiple of 468 and 471 is 73476.